Edit Profile (opens in new tab) Linnik, Yuriĭ Vladimirovich (b. 1915 d. 1972) Co-Author Distance Author ID: linnik.yurii-vladimirovich Published as: Linnik, Yu. V.; Linnik, U. V.; Linnik, Yuri Vladimirovitch; Linnik, Ju. V.; Linnik, J.; Linnik, U. more...less Further Spellings: Linnik, Yuri Vladimirovich; Linnik, Juri Wladimirowitsch External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · GND · IdRef Documents Indexed: 274 Publications since 1938, including 31 Books 6 Contributions as Editor · 5 Further Contributions Biographic References: 18 Publications Co-Authors: 70 Co-Authors with 108 Joint Publications 1,367 Co-Co-Authors all top 5 Co-Authors 173 single-authored 10 Rukhin, Andrew L. 9 Bredikhin, Boris Maksimovich 9 Kagan, Abram Meerovich 9 Zinger, Abram Aronovich 8 Faddeev, Dmitriĭ Konstantinovich 8 Romanovskiĭ, Iosif Vladimirovich 7 Gel’fond, Aleksandr Osipovich 5 Malyshev, Aleksandr Vasil’evich 4 Chudakov, Nikolaĭ Grigor’evich 4 Kubilius, Jonas 4 Rao, Calyampudi Radhakrishna 4 Shalaevskij, O. V. 4 Smirnov, Vladimir Ivanovich 3 Gnedenko, Boris Vladimirovich 3 Klebanov, Leo B. 3 Kolmogorov, Andreĭ Nikolaevich 3 Mitrofanova, N. M. 3 Sapogov, N. A. 3 Vulikh, Boris Zakharovich 3 Zajdman, R. A. 2 Barban, Mark Borisovich 2 Borevich, Zenon Ivanovich 2 Borovkov, Aleksandr Alekseevich 2 Chentsov, Nikolaĭ Nikolaevich 2 Chulanovskiĭ, I. V. 2 Èĭdlin, V. L. 2 Evgrafov, M. A. 2 Fel’dman, Naum Il’ich 2 Gavurin, Mark Konstantinovich 2 Ibragimov, Il’dar Abdullovich 2 Korobov, Nikolaĭ Mikhaĭlovich 2 Kostrikin, Alekseĭ Ivanovich 2 Kozlov, V. Ya. 2 Lozinskiĭ, Sergeĭ Mikhaĭlovich 2 Makarov, Valeriĭ Leonidovich 2 Markov, Andreĭ Andreevich 2 Mityagin, Boris Samuilovich 2 Novikov, Pëtr Sergeevich 2 Ostrovskiĭ, Iosif Vladimirovich 2 Petrov, Valentin Vladimirovich 2 Piatetski-Shapiro, Ilya 2 Pinsker, Aron Grigor’evich 2 Pliss, Viktor Aleksandrovich 2 Rubinshteĭn, Gennadiĭ Shlemovich 2 Sklyarenko, E. G. 2 Skopin, A. I. 2 Skubenko, Boris Fadeevich 2 Strelitz, Shlomo I. 2 Vallander, S. V. 2 Vinogradov, Askol’d Ivanovich 2 Yakubovich, Vladimir Andreevich 1 Abramov, L. M. 1 Aleksandrov, Pavel Sergeevich 1 Andrunakiewicz, V. A. 1 Bernshteĭn, Sergeĭ Natanovich 1 Birman, Mikhail Shlëmovich 1 Blank, Yakov Pavlovich 1 Bogolyubov, Alekseĭ Nikolaevich 1 Bogolyubov, Nikolaĭ Nikolaevich 1 Boltyanskij, Vladimir Grigor’evich 1 Brovkovich, G. N. 1 Buĭmola, G. L. 1 Chalyĭ, A. T. 1 Charin, V. S. 1 Chernavskiĭ, Alekseĭ Viktorovich 1 Chuprov, Aleksandr Aleksandrovich 1 Delone, Boris Nikolaevich 1 Dugué, Daniel 1 Èl’sgol’ts, Lev Èrnestovich 1 Erugin, Nikolaĭ Pavlovich 1 Essenin-Vol’pin, A. S. 1 Fomin, Vladimir Nikolaevich 1 Gikhman, Ĭosyp Illich 1 Glushkov, Viktor Mikhaĭlovich 1 Gluskin, L. N. 1 Golovanov, P. N. 1 Golovanov, P. P. 1 Gordevskiĭ, D. Z. 1 Gromov, Mikhael Leonidovich 1 Hennequin, Paul-Louis 1 Kaluzhnin, Lev Arkadevich 1 Khinchin, Aleksandr Yakovlevich 1 Khmelerskij, Yu. I. 1 Khusu, A. P. 1 Kingman, John Frank Charles 1 Kovan’ko, Aleksandr Sergeevich 1 Kudryavtsev, Lev Dmitrievich 1 Kurosh, Aleksandr Gennad’evich 1 Lebedev, Nikolaĭ Andreevich 1 Lenskoi, D. N. 1 Lozinskij, V. I. 1 Lyapin, Evgeny Sergeevich 1 Manin, Yuriĭ Ivanovich 1 Markushevich, Alekseĭ Ivanovich 1 Mytropol’skyĭ, Yuriĭ Oleksiĭovych 1 Muskhelishvili, Nikoloz 1 Natanson, Garal’d Isidorovich 1 Nikol’skiĭ, Sergeĭ Mikhaĭlovich 1 Novoselov, V. S. 1 Oleĭnik, Ol’ga Arsen’evna ...and 40 more Co-Authors all top 5 Serials 27 Soviet Mathematics. Doklady 19 Uspekhi Matematicheskikh Nauk [N. S.] 19 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 19 Comptes Rendus (Doklady) de l’Académie des Sciences de l’URSS, Nouvelle Série 15 Doklady Akademii Nauk SSSR. Novaya Seriya 14 Matematicheskiĭ Sbornik. Novaya Seriya 11 Teoriya Veroyatnosteĭ i eë Primeneniya 10 Doklady Akademii Nauk SSSR 9 Theory of Probability and its Applications 8 Vestnik Leningradskogo Universiteta. Matematika, Mekhanika, Astronomiya 7 Russian Mathematical Surveys 7 Sankhyā. Series A. Methods and Techniques 7 Selected Translations in Mathematical Statistics and Probability 7 Proceedings of the Steklov Institute of Mathematics 7 Trudy Matematicheskogo Instituta Imeni V. A. Steklova 6 Translations. Series 2. American Mathematical Society 3 Mathematical Notes 3 Acta Arithmetica 3 Translations of Mathematical Monographs 2 Matematicheskie Zametki 2 Recueil Mathématique. Nouvelle Série 1 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika 1 Ukraïns’kyĭ Matematychnyĭ Zhurnal 1 Prikladnaya Matematika i Mekhanika 1 The Australian Journal of Statistics 1 The Journal of the Indian Mathematical Society. New Series 1 Journal of Soviet Mathematics 1 Fiziko-Matematichesko Spisanie 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Dopovidi Akademiï Nauk Ukraïns’koï RSR 1 Bulletin de l’Institut International de Statistique 1 Communications in Statistics 1 Publications of the Mathematical Institute of the Hungarian Academy of Sciences 1 Ergebnisse der Mathematik und ihrer Grenzgebiete 1 Inzhenernyĭ Sbornik 1 Wiley Series in Probability and Mathematical Statistics all top 5 Fields 67 Number theory (11-XX) 41 Statistics (62-XX) 34 Probability theory and stochastic processes (60-XX) 23 History and biography (01-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 General and overarching topics; collections (00-XX) 3 Information and communication theory, circuits (94-XX) 2 Functions of a complex variable (30-XX) 1 Nonassociative rings and algebras (17-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 128 Publications have been cited 1,948 times in 1,754 Documents Cited by ▼ Year ▼ Independent and stationary sequences of random variables. Edited by J.F.C. Kingman. Zbl 0219.60027Ibragimov, I. A.; Linnik, Yu. V. 700 1971 Characterization problems in mathematical statistics. Translated from Russian text by B. Ramachandran. Zbl 0271.62002Kagan, A. M.; Linnik, Yu. V.; Rao, C. Radhakrishna 252 1973 Independent and stationarily connected variables. (Независимые стационарно связанные величины.) Zbl 0154.42201Ibragimov, I. A.; Linnik, Yu. V. 176 1965 On the least prime in an arithmetic progression. I: The basic theorem. Zbl 0063.03584Linnik, Yu. V. 51 1944 Decomposition of random variables and vectors. Translated from the Russian by Israel Program for Scientific Translations. Translation edited by Judah Rosenblatt. Zbl 0358.60020Linnik, Yu. V.; Ostrovskii, I. V. 41 1977 On the least prime in an arithmetic progression. II: The Deuring–Heilbronn theorem. Zbl 0063.03585Linnik, Yu. V. 40 1944 An information-theoretic proof of the central limit theorem under the Lindeberg conditions. Zbl 0097.13103Linnik, Yu. V. 40 1960 Ergodic properties of algebraic fields. Translated from the Russian by M. S. Keane. Zbl 0162.06801Linnik, Yu. V. 39 1968 The dispersion method in binary additive problems. Translated from the Russian. Zbl 0112.27402Linnik, Yu. V. 37 1963 Decomposition of probability distributions. Zbl 0121.35502Linnik, Yu. V. 30 1964 Linear forms and statistical criteria. I, II. (Lineare Formen und statistische Kriterien. I, II.) Zbl 0052.36701Linnik, Yu. V. 27 1953 Decompositions of probability laws. (Разложения вероятностных законов.) Zbl 0093.15002Linnik, Yu. V. 22 1960 An asymptotic formula in an additive problem of Hardy-Littlewood. (Eine asymptotische Formel für ein additive Problem von Hardy-Littlewood.) Zbl 0099.03501Linnik, Yu. V. 22 1960 On a characterization of the normal law based on a property of the sample average. Zbl 0168.40203Kagan, A. M.; Linnik, Yu. V.; Rao, C. R. 21 1965 The dispersion method in binary additive problems. (Дисперсионный метод в бинарных аддитивных задачах. Die Dispersionsmethode in binären additiven Problemen.) Zbl 0099.03104Linnik, Yu. V. 19 1961 Statistical problems with nuisance parameters. Zbl 0177.22501Linnik, Yu. V. 18 1968 On prime numbers in an arithmetic progression with a prime-power difference. Zbl 0127.26901Barban, M. B.; Linnik, Yu. V.; Chudakov, N. G. 17 1964 Ergodic properties of algebraic fields. (Ергодические свойства алгебраических полей.) Zbl 0155.37802Linnik, Yu. V. 16 1967 On the representation of large numbers as sums of seven cubes. Zbl 0063.03579Linnik, Yu. V. 16 1943 Some conditional theorems concerning the binary Goldbach problem. Zbl 0049.03104Linnik, Yu. V. 14 1952 Elementary methods in analytic number theory. (элементарные методы в аналитической теории чисел.) Zbl 0111.04803Gel’fond, A. O.; Linnik, Yu. V. 14 1962 A new proof of the Goldbach-Vinogradov theorem. Zbl 0063.03589Linnik, Yu. V. 13 1946 A remark on the least quadratic non-residue. Zbl 0063.03570Linnik, Yu. V. 12 1942 Method of least squares and principles of the theory of observations. Translated from the Russian by R.C.Elandt. Zbl 0112.11105Linnik, Yu. V. 12 1961 Extension of Darmois-Skitovic theorem to functions of random variables satisfying an addition theorem. Zbl 0299.60011Kagan, A. M.; Linnik, Yu. V.; Rao, C. R. 11 1973 On the probability of large deviations for the sums of independent variables. Zbl 0107.13401Linnik, Yu. V. 11 1961 Characterization problems in mathematical statistics. (Характеризационные задачи математической статистики) (Charakterisierungsaufgaben der mathematischen Statistik.) Zbl 0243.62009Kagan, A. M.; Linnik, Yu. V.; Rao, C. R. 10 1972 The large sieve. Zbl 0024.29302Linnik, Yu. V. 9 1941 Eine Abschätzung für die Summe der Anzahl der Teiler in einem kurzen Abschnitt einer arithmetischen Progression. Zbl 0080.26403Vinogradov, A. I.; Linnik, Yu. V. 9 1957 Hyperelliptic curves and the least prime quadratic residue. Zbl 0148.02305Vinogradov, A. I.; Linnik, Yu. V. 9 1966 Selected works. Number theory. Ergodic method and \(L\)-functions. (Избранные труды. Теория чисел. Ѐргодический метод и Л-функции.) Zbl 0435.10001Linnik, Yu. V. 9 1979 “The large sieve.”. JFM 67.0128.01Linnik, U. V. 8 1941 On Weyl’s sums. Zbl 0063.03578Linnik, Yu. V. 8 1943 Limit theorems for sums of independent variables taking into account large deviations. I-III. Zbl 0107.13202Linnik, Yu. V. 8 1962 Asymptotic behavior and ergodic properties of solutions of the generalized Hardy-Littlewood equation. (Asymptotisches Verhalten und ergodische Eigenschaften von Lösungen der verallgemeinerten Gleichung von Hardy und Littlewood.) Zbl 0147.02803Bredikhin, B. M.; Linnik, Yu. V. 8 1966 Statistical problems with nuisance parameters. Zbl 0134.36204Linnik, Yu. V. 7 1965 Theorie des probabilites et quelques applications. (Teorija verojatnostei i nekotorye ee prilozenija.) Übersetzung aus dem Französischen von S. I. Zalgaller und O. V. Salaevskij. Herausgegeben von Yu. V. Linnik. Zbl 0301.60001Hennequin, P.-L.; Tortrat, A. 6 1974 Additive problems involving squares, cubes and almost primes. Zbl 0247.10014Linnik, Yu. V. 6 1972 Über die Darstellung ganzer Zahlen durch positive ternäre quadratische Formen. Zbl 0024.25001Linnik, Yu. V. 6 1940 On a theorem in the theory of primes. Zbl 0063.03586Linnik, Yu. V. 6 1945 Some asymptotic expansions for the distribution of the maximum likelihood estimate. Zbl 0138.12901Linnik, Yu. V.; Mitrofanova, N. M. 6 1965 Asymptotic distribution of integral matrices of third order. (Asymptotische Verteilung der ganzzahligen Matrizen dritter Ordnung.) Zbl 0171.29803Linnik, Yu. V.; Skubenko, B. F. 5 1964 Unbiased estimation and matrix loss functions. Zbl 0276.62033Klebanov, L. B.; Linnik, Yu. V.; Rukhin, A. L. 5 1971 Primzahlen und Potenzen von Zwei. Zbl 0049.31402Linnik, Yu. V. 5 1951 An elementary solution of the problem of Waring by Schnirelman’s method. Zbl 0063.03580Linnik, Yu. V. 5 1943 New versions and new uses of the dispersion method in binary additive problems. Zbl 0106.03806Linnik, Yu. V. 5 1961 Additive problems and eigenvalues of the modular operators. Zbl 0116.03604Linnik, Yu. V. 5 1963 Elementary methods in the analytic theory of numbers. Zbl 0142.01403Gel’fond, A. O.; Linnik, Yu. V. 5 1966 Leçons sur les problèmes de statistique analytique. Zbl 0183.20601Linnik, Yu. V. 4 1967 On Erdős’s theorem on the addition of numerical sequences. Zbl 0063.03574Linnik, Yu. V. 4 1942 Hardy-Littlewood problem on the addition of primes and two squares. Zbl 0086.26101Linnik, Yu. V. 4 1959 Methode der kleinsten Quadrate in moderner Darstellung. Zbl 0097.34202Linnik, Yu. V. 4 1961 All large numbers are sums of a prime and two squares (on the problem of Hardy and Littlewood). I, II. (Alle großen Zahlen sind Summen einer Primzahl und zweier Quadrate (über das Problem von Hardy-Littlewood). I, II.) Zbl 0099.03401Linnik, Yu. V. 4 1960 Matrix loss functions admitting the Rao-Blackwellization. Zbl 0268.62013Linnik, Yu. V.; Rukhin, A. L. 3 1972 On the accuracy of the approximation to the Gauss distribution by sums of independent variables. Zbl 0029.15001Linnik, Yu. V. 3 1947 On certain hypotheses in the theory of Dirichlet characters. (Über einige Hypothesen der Theorie der Dirichletschen Charaktere.) Zbl 0031.01101Linnik, Yu. V.; Rényi, A. A. 3 1947 On the expression of \(L\)-series by means of the \(\zeta\)-function. (Über einen Ausdruck der \(L\)-Reihen durch die \(\zeta\)-Funktion.) Zbl 0034.02501Linnik, Yu. V. 3 1947 Über stabile Wahrscheinlichkeitsgesetze mit einem Index kleiner als Eins. Zbl 0055.12205Linnik, Yu. V. 3 1954 On the possibility of a unique method in certain problems of ’additive’ and ’distributive’ prime number theory. Zbl 0063.03587Linnik, Yu. V. 3 1945 A remark on Cramér’s theorem on the decomposition of the normal law. Zbl 0088.11403Linnik, Yu. V. 3 1957 Again on the generalization of H. Cramér’s theorem. Zbl 0089.14101Linnik, Yu. V.; Skitovich, V. P. 3 1958 Selected works. Vol. 3. Probability theory. (Izbrannye trudy. Tom 3. Teoriya veroyatnostej). Zbl 0589.01015Linnik, Yu. V. 2 1981 Remark on analytic transformations of normal vectors. Zbl 0176.49002Linnik, Yu. V.; Èĭdlin, V. L. 2 1968 Application of the method of D. Burgess to the investigation of integer points on large spheres. Zbl 0224.10050Linnik, Yu. V. 2 1970 Convex loss functions in the theory of unbiased estimation. Zbl 0238.62030Linnik, Yu. V.; Rukhin, A. L. 2 1971 On the elimination of nuisance parameters in statistical problems. Zbl 0239.62026Linnik, Yu. V. 2 1967 Nonlinear statistics and random linear forms. Zbl 0266.62010Zinger, A. A.; Linnik, Yu. V. 2 1972 Generalization of Frobenius theorem and its connection with Hurwitz’s theorem on composition of quadratic forms. Zbl 0019.00205Linnik, Yu. V. 2 1938 Die Summe von Primzahlen und Potenzen ein und derselben Zahl. Zbl 0051.03402Linnik, Yu. V. 2 1953 Selected works. Number theory. Probability theory. Edited by Yu. V. Linnik. With commentaries by Yu. V. Linnik, N. A. Sapogov, O. V. Sarmanov and V. N. Timofeev. Zbl 0054.00305Markov, A. A. 2 1951 On Weyl’s sums. Zbl 0063.03568Linnik, Yu. V. 2 1942 Ein Problem über die charakteristischen Funktionen von Wahrscheinlichkeitsverteilungen. Zbl 0064.12901Linnik, Yu. V. 2 1955 An application of the theory of matrices and of Lobatschevskian geometry to the theory of Dirichlet’s real characters. Zbl 0072.03602Linnik, Yu. V. 2 1956 The asymptotic geometry of the Gaussian genera; an analogon of the ergodic theorem. Zbl 0073.03201Linnik, Yu. V. 2 1956 More on the analogues of the ergodic theorems for the imaginary quadratic field. Zbl 0073.03202Linnik, Yu. V. 2 1956 On the factorization of infinitely divisible laws. Zbl 0084.14102Linnik, Yu. V. 2 1957 On a class of differential equations with an application to certain questions of regression theory. Zbl 0094.33501Zinger, A. A.; Linnik, Yu. V. 2 1957 On some additive problems. (Über gewisse additive Probleme.) Zbl 0099.03201Linnik, Yu. V. 2 1960 Décompositions des lois de probabilités. Traduit par M. L. Gruel. Zbl 0103.11901Linnik, Yu. V. 2 1962 Linear forms and statistical criteria. I. Zbl 0124.11304Linnik, Yu. V. 2 1953 Ergodic properties of solutions of binary additive problems. Zbl 0144.28102Bredikhin, B. M.; Linnik, Yu. V. 2 1966 Latest investigations on Behrens-Fisher problem. Zbl 0149.14903Linnik, Yu. V. 2 1966 Polynomial statistics of normal samples. Zbl 0291.62025Zinger, A.; Linnik, Yu. V. 2 1967 Selected Works. Number Theory. L-Functions and Dispersion Method. (Izbrannye trudy. Teoriya chisel. L-funktsii i dispersionnyj metod). Zbl 0435.10002Linnik, Yu. V. 2 1980 Monotonic convex matrix loss functions in statistics. Zbl 0319.62022Lebedev, N. A.; Linnik, Yu. V.; Rukhin, A. L. 2 1971 On certain results relating to positive ternary quadratic forms. JFM 65.0141.01Linnik, U. V. 1 1939 Approximately minimax detection of a vector signal on a Gaussian background. Zbl 0156.40704Linnik, Yu. V. 1 1966 Randomized homogeneous tests for the Behrens-Fisher problem. Zbl 0158.17903Linnik, Yu. V. 1 1964 Approximate minimax detection of a vector signal in Gaussian noise. Zbl 0163.40204Linnik, Yu. V. 1 1966 On certain connections between algebraic geometry and statistics. Zbl 0173.20303Linnik, Yu. V. 1 1967 Some asymptotic expansions for the distribution of the maximum likelihood estimate. Zbl 0192.25904Linnik, Yu. V.; Mitrofanova, N. M. 1 1963 Ivan Nikolaevich Sanov. Zbl 0199.29407Borovkov, A. A.; Golovanov, P. P.; Kozlov, V. Ya.; Kostrikin, A. I.; Linnik, Yu. V.; Novikov, P. S.; Faddeev, D. K.; Chentsov, N. N. 1 1969 A remark on confidence estimation by the method of least squares. Zbl 0202.49403Brovkovich, G. N.; Linnik, Yu. V. 1 1963 Unbiased estimate of incomplete exponential families. Zbl 0226.62025Kagan, A. M.; Linnik, Yu. V. 1 1970 Gamma-distributions and partial sufficiency of polynomials. (Gammaverteilung und teilweise Hinlänglichkeit von Polynomen.) Zbl 0236.60015Linnik, Yu. V.; Rukhin, A. L.; Strelitz, Shlomo I. 1 1970 Nichtlineare Statistiken und lineare Zufallsformen. Zbl 0236.62013Zinger, A. A.; Linnik, Yu. V. 1 1970 “Self-governing” families of distributions. Zbl 0244.62068Kagan, A. M.; Linnik, Yu. V.; Romanovsky, I. V.; Rukhin, A. L. 1 1971 Sur certaines questions de l’estimation séquentielle. Zbl 0245.62074Klebanov, L. B.; Linnik, Yuri Vladimirovitch; Rukhin, A. L. 1 1972 Some new results in sequential estimation theory. Zbl 0254.62047Linnik, Yu. V.; Romanovsky, I. V. 1 1972 On certain results relating to positive ternary quadratic forms. Zbl 0022.20104Linnik, Yu. V. 1 1939 Selected works. Mathematical statistics. (Izbrannye trudy. Matematicheskaya statistika). Zbl 0499.01034Linnik, Yu. V. 1 1982 Selected works. Vol. 3. Probability theory. (Izbrannye trudy. Tom 3. Teoriya veroyatnostej). Zbl 0589.01015Linnik, Yu. V. 2 1981 Selected Works. Number Theory. L-Functions and Dispersion Method. (Izbrannye trudy. Teoriya chisel. L-funktsii i dispersionnyj metod). Zbl 0435.10002Linnik, Yu. V. 2 1980 Selected works. Number theory. Ergodic method and \(L\)-functions. (Избранные труды. Теория чисел. Ѐргодический метод и Л-функции.) Zbl 0435.10001Linnik, Yu. V. 9 1979 Decomposition of random variables and vectors. Translated from the Russian by Israel Program for Scientific Translations. Translation edited by Judah Rosenblatt. Zbl 0358.60020Linnik, Yu. V.; Ostrovskii, I. V. 41 1977 Recent works of I. M. Vinogradov. Zbl 0306.10018Linnik, Yu. V. 1 1975 Theorie des probabilites et quelques applications. (Teorija verojatnostei i nekotorye ee prilozenija.) Übersetzung aus dem Französischen von S. I. Zalgaller und O. V. Salaevskij. Herausgegeben von Yu. V. Linnik. Zbl 0301.60001Hennequin, P.-L.; Tortrat, A. 6 1974 Characterization problems in mathematical statistics. Translated from Russian text by B. Ramachandran. Zbl 0271.62002Kagan, A. M.; Linnik, Yu. V.; Rao, C. Radhakrishna 252 1973 Extension of Darmois-Skitovic theorem to functions of random variables satisfying an addition theorem. Zbl 0299.60011Kagan, A. M.; Linnik, Yu. V.; Rao, C. R. 11 1973 Characterization problems in mathematical statistics. (Характеризационные задачи математической статистики) (Charakterisierungsaufgaben der mathematischen Statistik.) Zbl 0243.62009Kagan, A. M.; Linnik, Yu. V.; Rao, C. R. 10 1972 Additive problems involving squares, cubes and almost primes. Zbl 0247.10014Linnik, Yu. V. 6 1972 Matrix loss functions admitting the Rao-Blackwellization. Zbl 0268.62013Linnik, Yu. V.; Rukhin, A. L. 3 1972 Nonlinear statistics and random linear forms. Zbl 0266.62010Zinger, A. A.; Linnik, Yu. V. 2 1972 Sur certaines questions de l’estimation séquentielle. Zbl 0245.62074Klebanov, L. B.; Linnik, Yuri Vladimirovitch; Rukhin, A. L. 1 1972 Some new results in sequential estimation theory. Zbl 0254.62047Linnik, Yu. V.; Romanovsky, I. V. 1 1972 Properties of minimal first-entrance sampling plans for multinomial processes. Zbl 0407.60060Linnik, Yu. V.; Romanovskii, I. V. 1 1972 Independent and stationary sequences of random variables. Edited by J.F.C. Kingman. Zbl 0219.60027Ibragimov, I. A.; Linnik, Yu. V. 700 1971 Unbiased estimation and matrix loss functions. Zbl 0276.62033Klebanov, L. B.; Linnik, Yu. V.; Rukhin, A. L. 5 1971 Convex loss functions in the theory of unbiased estimation. Zbl 0238.62030Linnik, Yu. V.; Rukhin, A. L. 2 1971 Monotonic convex matrix loss functions in statistics. Zbl 0319.62022Lebedev, N. A.; Linnik, Yu. V.; Rukhin, A. L. 2 1971 “Self-governing” families of distributions. Zbl 0244.62068Kagan, A. M.; Linnik, Yu. V.; Romanovsky, I. V.; Rukhin, A. L. 1 1971 Application of the method of D. Burgess to the investigation of integer points on large spheres. Zbl 0224.10050Linnik, Yu. V. 2 1970 Unbiased estimate of incomplete exponential families. Zbl 0226.62025Kagan, A. M.; Linnik, Yu. V. 1 1970 Gamma-distributions and partial sufficiency of polynomials. (Gammaverteilung und teilweise Hinlänglichkeit von Polynomen.) Zbl 0236.60015Linnik, Yu. V.; Rukhin, A. L.; Strelitz, Shlomo I. 1 1970 Nichtlineare Statistiken und lineare Zufallsformen. Zbl 0236.62013Zinger, A. A.; Linnik, Yu. V. 1 1970 Ivan Nikolaevich Sanov. Zbl 0199.29407Borovkov, A. A.; Golovanov, P. P.; Kozlov, V. Ya.; Kostrikin, A. I.; Linnik, Yu. V.; Novikov, P. S.; Faddeev, D. K.; Chentsov, N. N. 1 1969 Ergodic properties of algebraic fields. Translated from the Russian by M. S. Keane. Zbl 0162.06801Linnik, Yu. V. 39 1968 Statistical problems with nuisance parameters. Zbl 0177.22501Linnik, Yu. V. 18 1968 Remark on analytic transformations of normal vectors. Zbl 0176.49002Linnik, Yu. V.; Èĭdlin, V. L. 2 1968 Ergodic properties of algebraic fields. (Ергодические свойства алгебраических полей.) Zbl 0155.37802Linnik, Yu. V. 16 1967 Leçons sur les problèmes de statistique analytique. Zbl 0183.20601Linnik, Yu. V. 4 1967 On the elimination of nuisance parameters in statistical problems. Zbl 0239.62026Linnik, Yu. V. 2 1967 Polynomial statistics of normal samples. Zbl 0291.62025Zinger, A.; Linnik, Yu. V. 2 1967 On certain connections between algebraic geometry and statistics. Zbl 0173.20303Linnik, Yu. V. 1 1967 Hyperelliptic curves and the least prime quadratic residue. Zbl 0148.02305Vinogradov, A. I.; Linnik, Yu. V. 9 1966 Asymptotic behavior and ergodic properties of solutions of the generalized Hardy-Littlewood equation. (Asymptotisches Verhalten und ergodische Eigenschaften von Lösungen der verallgemeinerten Gleichung von Hardy und Littlewood.) Zbl 0147.02803Bredikhin, B. M.; Linnik, Yu. V. 8 1966 Elementary methods in the analytic theory of numbers. Zbl 0142.01403Gel’fond, A. O.; Linnik, Yu. V. 5 1966 Ergodic properties of solutions of binary additive problems. Zbl 0144.28102Bredikhin, B. M.; Linnik, Yu. V. 2 1966 Latest investigations on Behrens-Fisher problem. Zbl 0149.14903Linnik, Yu. V. 2 1966 Approximately minimax detection of a vector signal on a Gaussian background. Zbl 0156.40704Linnik, Yu. V. 1 1966 Approximate minimax detection of a vector signal in Gaussian noise. Zbl 0163.40204Linnik, Yu. V. 1 1966 Asymptotic behavior in the general Hardy-Littlewood problem. Zbl 0148.02201Bredikhin, B. M.; Linnik, Yu. V. 1 1966 Independent and stationarily connected variables. (Независимые стационарно связанные величины.) Zbl 0154.42201Ibragimov, I. A.; Linnik, Yu. V. 176 1965 On a characterization of the normal law based on a property of the sample average. Zbl 0168.40203Kagan, A. M.; Linnik, Yu. V.; Rao, C. R. 21 1965 Statistical problems with nuisance parameters. Zbl 0134.36204Linnik, Yu. V. 7 1965 Some asymptotic expansions for the distribution of the maximum likelihood estimate. Zbl 0138.12901Linnik, Yu. V.; Mitrofanova, N. M. 6 1965 Méthodes élémentaires dans la théorie analytique des nombres. Zbl 0125.29604Gelfond, A. O.; Linnik, Yu. V. 1 1965 Tests, unbiased estimates, and cotest ideals. Zbl 0137.37101Linnik, Yu. V. 1 1965 Decomposition of probability distributions. Zbl 0121.35502Linnik, Yu. V. 30 1964 On prime numbers in an arithmetic progression with a prime-power difference. Zbl 0127.26901Barban, M. B.; Linnik, Yu. V.; Chudakov, N. G. 17 1964 Asymptotic distribution of integral matrices of third order. (Asymptotische Verteilung der ganzzahligen Matrizen dritter Ordnung.) Zbl 0171.29803Linnik, Yu. V.; Skubenko, B. F. 5 1964 Randomized homogeneous tests for the Behrens-Fisher problem. Zbl 0158.17903Linnik, Yu. V. 1 1964 A nonrandomized homogeneous test in the Behrens-Fisher problem. Zbl 0132.39102Linnik, Yu. V.; Romanovskij, I. V.; Sudakov, V. N. 1 1964 All large numbers are sums of a prime and two squares (a problem of Hardy and Littlewood.) I, II. Zbl 0136.33503Linnik, Yu. V. 1 1964 A characteristic property of the normal distribution. Zbl 0136.41101Zinger, A. A.; Linnik, Yu. V. 1 1964 Some remarks on estimates of trigonometric sums. Zbl 0148.27304Linnik, Yu. V. 1 1964 The dispersion method in binary additive problems. Translated from the Russian. Zbl 0112.27402Linnik, Yu. V. 37 1963 Additive problems and eigenvalues of the modular operators. Zbl 0116.03604Linnik, Yu. V. 5 1963 Some asymptotic expansions for the distribution of the maximum likelihood estimate. Zbl 0192.25904Linnik, Yu. V.; Mitrofanova, N. M. 1 1963 A remark on confidence estimation by the method of least squares. Zbl 0202.49403Brovkovich, G. N.; Linnik, Yu. V. 1 1963 Elementary methods in analytic number theory. (элементарные методы в аналитической теории чисел.) Zbl 0111.04803Gel’fond, A. O.; Linnik, Yu. V. 14 1962 Limit theorems for sums of independent variables taking into account large deviations. I-III. Zbl 0107.13202Linnik, Yu. V. 8 1962 Décompositions des lois de probabilités. Traduit par M. L. Gruel. Zbl 0103.11901Linnik, Yu. V. 2 1962 On the accuracy of the approximation to a Gaussian distribution of sums of independent random variables. Zbl 0111.33304Linnik, Yu. V. 1 1962 On the theory of statistically similar regions. Zbl 0122.14302Linnik, Yu. V. 1 1962 The dispersion method in binary additive problems. (Дисперсионный метод в бинарных аддитивных задачах. Die Dispersionsmethode in binären additiven Problemen.) Zbl 0099.03104Linnik, Yu. V. 19 1961 Method of least squares and principles of the theory of observations. Translated from the Russian by R.C.Elandt. Zbl 0112.11105Linnik, Yu. V. 12 1961 On the probability of large deviations for the sums of independent variables. Zbl 0107.13401Linnik, Yu. V. 11 1961 New versions and new uses of the dispersion method in binary additive problems. Zbl 0106.03806Linnik, Yu. V. 5 1961 Methode der kleinsten Quadrate in moderner Darstellung. Zbl 0097.34202Linnik, Yu. V. 4 1961 Vladimir Abramovich Tartakovskiĭ (on his 60th birthday). Zbl 0100.00801Linnik, Yu. V.; Lyapin, E. S.; Yakubovich, V. A. 1 1961 An information-theoretic proof of the central limit theorem under the Lindeberg conditions. Zbl 0097.13103Linnik, Yu. V. 40 1960 Decompositions of probability laws. (Разложения вероятностных законов.) Zbl 0093.15002Linnik, Yu. V. 22 1960 An asymptotic formula in an additive problem of Hardy-Littlewood. (Eine asymptotische Formel für ein additive Problem von Hardy-Littlewood.) Zbl 0099.03501Linnik, Yu. V. 22 1960 All large numbers are sums of a prime and two squares (on the problem of Hardy and Littlewood). I, II. (Alle großen Zahlen sind Summen einer Primzahl und zweier Quadrate (über das Problem von Hardy-Littlewood). I, II.) Zbl 0099.03401Linnik, Yu. V. 4 1960 On some additive problems. (Über gewisse additive Probleme.) Zbl 0099.03201Linnik, Yu. V. 2 1960 Asymptotic-geometric and ergodic properties of sets of lattice points on a sphere. Zbl 0089.02705Linnik, Yu. V. 1 1960 Hardy-Littlewood problem on the addition of primes and two squares. Zbl 0086.26101Linnik, Yu. V. 4 1959 Allgemeine Sätze über die Entwicklung unbegrenzt teilbarer Gesetze. III: Hinreichende Bedingungen (abzählbares beschränktes Poissonsches Spektrum, unbeschränktes Spektrum, ”Stabilität”). Zbl 0094.32506Linnik, Yu. V. 1 1959 Again on the generalization of H. Cramér’s theorem. Zbl 0089.14101Linnik, Yu. V.; Skitovich, V. P. 3 1958 Solution of some binary additive problems by computing dispersion in progressions. Zbl 0086.26001Linnik, Yu. V. 1 1958 Eine Abschätzung für die Summe der Anzahl der Teiler in einem kurzen Abschnitt einer arithmetischen Progression. Zbl 0080.26403Vinogradov, A. I.; Linnik, Yu. V. 9 1957 A remark on Cramér’s theorem on the decomposition of the normal law. Zbl 0088.11403Linnik, Yu. V. 3 1957 On the factorization of infinitely divisible laws. Zbl 0084.14102Linnik, Yu. V. 2 1957 On a class of differential equations with an application to certain questions of regression theory. Zbl 0094.33501Zinger, A. A.; Linnik, Yu. V. 2 1957 Nikolaĭ Pavlovich Romanov (on his fiftieth birthday). Zbl 0078.00408Sarymsakov, T. A.; Linnik, Yu. V. 1 1957 Determining the probability distribution by a statistic distribution. Zbl 0078.31201Linnik, Yu. V. 1 1957 On the composition of Gauss and Poisson probability laws. Zbl 0084.14005Linnik, Yu. V. 1 1957 An application of the theory of matrices and of Lobatschevskian geometry to the theory of Dirichlet’s real characters. Zbl 0072.03602Linnik, Yu. V. 2 1956 The asymptotic geometry of the Gaussian genera; an analogon of the ergodic theorem. Zbl 0073.03201Linnik, Yu. V. 2 1956 More on the analogues of the ergodic theorems for the imaginary quadratic field. Zbl 0073.03202Linnik, Yu. V. 2 1956 Applications of the arithmetic of quaternions to the theory of ternary quadratic forms and to the decomposition of numbers into cubes. Zbl 0070.27503Linnik, Yu. V.; Malyshev, A. V. 1 1956 On polynomial statistics in connection with the analytical theory of differential equations. Zbl 0115.36303Linnik, Yu. V. 1 1956 Ein Problem über die charakteristischen Funktionen von Wahrscheinlichkeitsverteilungen. Zbl 0064.12901Linnik, Yu. V. 2 1955 Asymptotic distribution of reduced binary quadratic forms in relation to Lobachevskiĭ geometries. I–III. Zbl 0065.03107Linnik, Yu. V. 1 1955 Über eine analytische Verallgemeinerung des Cramérschen Satzes und seine Anwendung. Zbl 0066.37502Zinger, A. A.; Linnik, Yu. V. 1 1955 Über stabile Wahrscheinlichkeitsgesetze mit einem Index kleiner als Eins. Zbl 0055.12205Linnik, Yu. V. 3 1954 Linear forms and statistical criteria. I, II. (Lineare Formen und statistische Kriterien. I, II.) Zbl 0052.36701Linnik, Yu. V. 27 1953 Die Summe von Primzahlen und Potenzen ein und derselben Zahl. Zbl 0051.03402Linnik, Yu. V. 2 1953 Linear forms and statistical criteria. I. Zbl 0124.11304Linnik, Yu. V. 2 1953 ...and 28 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,837 Authors 22 Fel’dman, Gennadiĭ Mikhaĭlovich 22 Kagan, Abram Meerovich 20 Surgailis, Donatas 15 Klebanov, Leo B. 14 Bradley, Richard C. jun. 14 Chistyakov, Gennadiy P. 14 Sunklodas, Jonas Kazys 13 Denker, Manfred 13 Götze, Friedrich 13 Kifer, Yuri 11 Mikosch, Thomas 11 Peligrad, Magda 11 Toscani, Giuseppe 10 Pachev, Urusbi Mukhamedovich 9 Bobkov, Sergey Germanovich 9 Golubeva, Elena P. 9 Ostrovskiĭ, Iosif Vladimirovich 9 Paulauskas, Vygantas Ionovič 9 Robinson, Peter Michael 9 Wesołowski, Jacek 8 Bingham, Nicholas Hugh 8 Dudnikova, Tat’yana V. 8 Eliazar, Iddo I. 8 Friedlander, John Benjamin 8 Giraitis, Liudas 8 Zinger, Abram Aronovich 7 Languasco, Alessandro 7 Molchanov, Stanislav Alekseevich 7 Szewczak, Zbigniew Stanisław 7 Tran, Lanh Tat 7 Wu, Wei Biao 6 Arkashov, Nikolay Sergeevich 6 Arvanitis, Stelios 6 Fakoor, Vahid 6 Ginovyan, Mamikon S. 6 Iwaniec, Henryk 6 Lahiri, Soumendra Nath 6 Landsman, Zinoviy M. 6 Malyshev, Aleksandr Vasil’evich 6 Motohashi, Yoichi 6 Perelli, Alberto 6 Pollack, Paul 6 Rao, Calyampudi Radhakrishna 6 Rukhin, Andrew L. 6 Wooley, Trevor D. 6 Yoshihara, Ken-ichi 6 Zaccagnini, Alessandro 5 Banys, Jonas J. 5 Bryc, Włodzimierz 5 Cai, Zongwu 5 Erdős, Pál 5 Hafouta, Yeor 5 Hall, Peter Gavin 5 Hannan, Edward James 5 Heyde, Christopher Charles 5 Kabluchko, Zakhar A. 5 Kátai, Imre 5 Leonenko, Nikolai N. 5 Lukacs, Eugene 5 Myronyuk, Margaryta V”yacheslavivna 5 Nikitin, Yakov Yur’evich 5 Phillips, Peter Charles Bonest 5 Pintz, Janos 5 Prakasa Rao, B. L. S. 5 Račkauskas, Alfredas Yurgevich 5 Regazzini, Eugenio 5 Székely, Gábor J. 5 Taqqu, Murad S. 5 Ushakova, Alexandra P. 5 Vinogradov, Askol’d Ivanovich 5 Yanushkevichius, Romanas V. 5 Zaman, Asif 4 Bentkus, Vidmants-Kastytis 4 Bondarev, Borys Volodymyrovych 4 Bondesson, Lennart 4 Bykovskiĭ, Viktor Alekseevich 4 Čekanavičius, Vydas 4 Christoph, Gerd 4 Davydov, Yu. A. 4 Dehling, Herold G. 4 Dimitrov, Stoyan Ivanov 4 Einsiedler, Manfred Leopold 4 Elliott, Peter D. T. A. 4 Fieger, Werner 4 Fomenko, Oleg Mstislavovich 4 Ibragimov, Il’dar Abdullovich 4 Jakubowski, Adam 4 Jomhoori, Sarah 4 Jurečková, Jana 4 Keller, Gerhard 4 Khatri, Chinubhai Ghelabhai 4 Klüppelberg, Claudia 4 Laha, Radha Govinda 4 Lindner, Alexander M. 4 Lumelskii, Yan P. 4 Marynych, Alexander V. 4 Merlevède, Florence 4 Michel, Philippe Gabriel 4 Nagaev, Aleksandr Viktorovich 4 Pavlov, Yuriĭ Leonidovich ...and 1,737 more Authors all top 5 Cited in 298 Serials 97 Statistics & Probability Letters 88 Lithuanian Mathematical Journal 74 Journal of Multivariate Analysis 71 Journal of Soviet Mathematics 63 Stochastic Processes and their Applications 62 Journal of Mathematical Sciences (New York) 60 Mathematical Notes 52 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 51 Journal of Statistical Planning and Inference 34 Journal of Number Theory 34 Probability Theory and Related Fields 31 Journal of Econometrics 29 The Annals of Probability 26 Transactions of the American Mathematical Society 25 Ukrainian Mathematical Journal 25 Annals of the Institute of Statistical Mathematics 24 Journal of Statistical Physics 23 Bernoulli 22 Journal of Theoretical Probability 20 Communications in Statistics. Theory and Methods 19 Journal of Mathematical Analysis and Applications 18 The Annals of Statistics 12 Theory of Probability and its Applications 12 The Annals of Applied Probability 12 Doklady Mathematics 12 Stochastics and Dynamics 11 Inventiones Mathematicae 11 Mathematische Annalen 11 Mathematische Zeitschrift 11 Siberian Mathematical Journal 11 Acta Applicandae Mathematicae 10 Communications in Mathematical Physics 10 Rocky Mountain Journal of Mathematics 10 Proceedings of the American Mathematical Society 10 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 9 Journal of Applied Probability 9 The Ramanujan Journal 8 Physica A 8 Acta Mathematica 8 Acta Mathematica Hungarica 8 Statistics 8 Aequationes Mathematicae 8 International Journal of Number Theory 7 Advances in Applied Probability 7 Metrika 7 Mathematics of Computation 7 Functiones et Approximatio. Commentarii Mathematici 7 Journal of Functional Analysis 7 Journal of Time Series Analysis 7 Computational Statistics and Data Analysis 7 Econometric Theory 7 Chebyshevskiĭ Sbornik 6 Israel Journal of Mathematics 6 Journal d’Analyse Mathématique 6 Acta Arithmetica 6 Advances in Mathematics 6 Duke Mathematical Journal 6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 6 Journal de Théorie des Nombres de Bordeaux 6 Mathematical Methods of Statistics 6 Acta Mathematica Sinica. English Series 5 Periodica Mathematica Hungarica 5 Mathematika 5 Automation and Remote Control 5 Linear Algebra and its Applications 5 Vestnik St. Petersburg University. Mathematics 5 Cybernetics and Systems Analysis 5 Electronic Journal of Probability 5 Journal of Nonparametric Statistics 5 Annals of Mathematics. Second Series 5 Bulletin of the American Mathematical Society 5 Proceedings of the Steklov Institute of Mathematics 5 Sankhyā. Series A 4 Acta Mathematica Academiae Scientiarum Hungaricae 4 Psychometrika 4 Theoretical and Mathematical Physics 4 Annales de l’Institut Fourier 4 Journal of Approximation Theory 4 Journal of the London Mathematical Society. Second Series 4 Proceedings of the Japan Academy. Series A 4 Trabajos de Estadistica y de Investigacion Operativa 4 Insurance Mathematics & Economics 4 Stochastic Analysis and Applications 4 Journal of Complexity 4 Computational Statistics 4 Annals of Physics 4 Statistical Papers 4 The Journal of Fourier Analysis and Applications 4 Journal of the European Mathematical Society (JEMS) 4 Stochastics 4 Proceedings of the Japan Academy 4 The Annals of Applied Statistics 3 Analysis Mathematica 3 The Canadian Journal of Statistics 3 Computers & Mathematics with Applications 3 Journal of Mathematical Physics 3 Scandinavian Journal of Statistics 3 Stochastics 3 Archiv der Mathematik 3 Automatica ...and 198 more Serials all top 5 Cited in 49 Fields 897 Probability theory and stochastic processes (60-XX) 600 Statistics (62-XX) 351 Number theory (11-XX) 68 Statistical mechanics, structure of matter (82-XX) 64 Dynamical systems and ergodic theory (37-XX) 49 Numerical analysis (65-XX) 34 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 32 Combinatorics (05-XX) 32 Measure and integration (28-XX) 32 Information and communication theory, circuits (94-XX) 26 Functional analysis (46-XX) 24 Computer science (68-XX) 22 Partial differential equations (35-XX) 21 Linear and multilinear algebra; matrix theory (15-XX) 21 Real functions (26-XX) 21 Abstract harmonic analysis (43-XX) 17 Functions of a complex variable (30-XX) 14 History and biography (01-XX) 14 Difference and functional equations (39-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 13 Topological groups, Lie groups (22-XX) 13 Systems theory; control (93-XX) 12 Approximations and expansions (41-XX) 11 Ordinary differential equations (34-XX) 11 Operator theory (47-XX) 10 Sequences, series, summability (40-XX) 10 Fluid mechanics (76-XX) 10 Operations research, mathematical programming (90-XX) 9 Algebraic geometry (14-XX) 9 Biology and other natural sciences (92-XX) 8 Special functions (33-XX) 8 Integral equations (45-XX) 8 Quantum theory (81-XX) 7 Convex and discrete geometry (52-XX) 6 Group theory and generalizations (20-XX) 6 Integral transforms, operational calculus (44-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 General topology (54-XX) 3 Mechanics of particles and systems (70-XX) 2 General and overarching topics; collections (00-XX) 2 Mathematical logic and foundations (03-XX) 2 Field theory and polynomials (12-XX) 2 Geometry (51-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Geophysics (86-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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