Marushin, M. N. A type of convergence to moments of a Poisson law for sums of randomly many independent random variables. (English. Russian original) Zbl 0716.60029 Ukr. Math. J. 41, No. 5, 584-586 (1989); translation from Ukr. Mat. Zh. 41, No. 5, 676-679 (1989). MSC: 60F25 60F05 60G50 PDFBibTeX XMLCite \textit{M. N. Marushin}, Ukr. Math. J. 41, No. 5, 584--586 (1989; Zbl 0716.60029); translation from Ukr. Mat. Zh. 41, No. 5, 676--679 (1989) Full Text: DOI
Marushin, M. N. On some convergence to the moments of the Poisson law for sums of a random number of independent variables. (Russian) Zbl 0681.60034 Ukr. Mat. Zh. 41, No. 5, 676-679 (1989). Reviewer: Su Chun MSC: 60F25 60F05 60G50 PDFBibTeX XMLCite \textit{M. N. Marushin}, Ukr. Mat. Zh. 41, No. 5, 676--679 (1989; Zbl 0681.60034) Full Text: DOI
Marushin, M. N.; Krivodub, Yu. G. Convergence to moments of the Poisson law for sums of a random number of independent random variables. (Russian. English summary) Zbl 0637.60045 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1987, No. 9, 27-29 (1987). Reviewer: W.Szczotka MSC: 60F99 PDFBibTeX XMLCite \textit{M. N. Marushin} and \textit{Yu. G. Krivodub}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1987, No. 9, 27--29 (1987; Zbl 0637.60045)
Marushin, M. N. A class of limit laws for a two-state Markov chain. (English. Russian original) Zbl 0661.60039 Ukr. Math. J. 37, 476-480 (1985); translation from Ukr. Mat. Zh. 37, No. 5, 589-594 (1985). MSC: 60F05 60J10 PDFBibTeX XMLCite \textit{M. N. Marushin}, Ukr. Math. J. 37, 476--480 (1985; Zbl 0661.60039); translation from Ukr. Mat. Zh. 37, No. 5, 589--594 (1985) Full Text: DOI
Marushin, M. N. On the convergence of moments of sums of variables connected in a Markov chain with two states. (Russian) Zbl 0619.60030 Teor. Sluchajnykh Protsessov 13, 56-60 (1985). Reviewer: I.Křivy MSC: 60F05 60J10 PDFBibTeX XMLCite \textit{M. N. Marushin}, Teor. Sluch. Protsess. 13, 56--60 (1985; Zbl 0619.60030)
Marushin, M. N. On a class of limit laws for a Markov chain with two states. (Russian) Zbl 0584.60038 Ukr. Mat. Zh. 37, No. 5, 589-594 (1985). Reviewer: O.K.Zakusilo MSC: 60F05 60J10 PDFBibTeX XMLCite \textit{M. N. Marushin}, Ukr. Mat. Zh. 37, No. 5, 589--594 (1985; Zbl 0584.60038)
Marushin, M. N. Limit \(\Gamma\)-distributions for sums of random variables, connected in an inhomogeneous Markov chain with two states. (English. Russian original) Zbl 0569.60067 Ukr. Math. J. 36, 162-167 (1984); translation from Ukr. Mat. Zh. 36, No. 2, 180-185 (1984). Reviewer: I.Cuculescu MSC: 60J10 60F05 PDFBibTeX XMLCite \textit{M. N. Marushin}, Ukr. Math. J. 36, 162--167 (1984; Zbl 0569.60067); translation from Ukr. Mat. Zh. 36, No. 2, 180--185 (1984) Full Text: DOI
Marushin, M. N.; Krivorukov, V. P. Some remarks on the central limit theorem of the theory of moments of even order for sums of random number of independent identically distributed random variables. (English) Zbl 0561.60028 Ukr. Math. J. 36, 18-24 (1984). MSC: 60F05 60G50 PDFBibTeX XMLCite \textit{M. N. Marushin} and \textit{V. P. Krivorukov}, Ukr. Math. J. 36, 18--24 (1984; Zbl 0561.60028) Full Text: DOI
Marushin, M. N.; Krivorukov, V. P. Some remarks on the central limit theorem of the theory of even order moments for sums of a random number of independent equally distributed random variables. (Russian) Zbl 0539.60027 Ukr. Mat. Zh. 36, No. 1, 22-28 (1984). Reviewer: V.M.Kruglov MSC: 60F05 60G50 PDFBibTeX XMLCite \textit{M. N. Marushin} and \textit{V. P. Krivorukov}, Ukr. Mat. Zh. 36, No. 1, 22--28 (1984; Zbl 0539.60027) Full Text: DOI
Marushin, M. N. The central moments of a sum of random variables obtained by symmetrizing a Markov chain with two states. (English) Zbl 0538.60072 Theory Probab. Math. Stat. 28, 89-93 (1984). MSC: 60J05 60F05 60E99 60G55 PDFBibTeX XMLCite \textit{M. N. Marushin}, Theory Probab. Math. Stat. 28, 89--93 (1984; Zbl 0538.60072)
Marushin, M. N.; Krivorukov, V. P. On the central limit theorem of the theory of moments of even order for sums of a random number of independent and identically distributed random variables. (Russian) Zbl 0472.60027 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1981, No. 11, 27-29 (1981). MSC: 60F05 60G50 PDFBibTeX XMLCite \textit{M. N. Marushin} and \textit{V. P. Krivorukov}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1981, No. 11, 27--29 (1981; Zbl 0472.60027)
Marushin, M. N. On conditions for recovering a discrete Markov chain after its symmetrization. (English) Zbl 0459.60058 Theory Probab. Math. Stat. 22, 113-114 (1981). MSC: 60J10 PDFBibTeX XMLCite \textit{M. N. Marushin}, Theory Probab. Math. Stat. 22, 113--114 (1981; Zbl 0459.60058)
Marushin, M. N. On an equality for moments of random variables obtained as a result of symmetrization of a nonhomogeneous Markov chain with two states. (English) Zbl 0486.60063 Theory Probab. Math. Stat. 21, 135-141 (1980). MSC: 60J10 60J05 PDFBibTeX XMLCite \textit{M. N. Marushin}, Theory Probab. Math. Stat. 21, 135--141 (1980; Zbl 0486.60063)
Marushin, M. N. On regeneration conditions of the discrete Markov chain after its symmetrization. (Russian) Zbl 0427.60080 Teor. Veroyatn. Mat. Stat. 22, 102-104 (1980). MSC: 60J10 PDFBibTeX XML
Marushin, M. N. On conditions for the application of the normal limit law to the sum of a random number of independent variables. (Russian) Zbl 0421.60047 Teor. Sluch. Protsess. 7, 81-85 (1979). MSC: 60G50 60F05 PDFBibTeX XMLCite \textit{M. N. Marushin}, Teor. Sluch. Protsess. 7, 81--85 (1979; Zbl 0421.60047)
Marushin, M. N. A certain convergence to the Poisson law for sums of independent random variables. (English) Zbl 0418.60031 Ukr. Math. J. 30, 617-621 (1979). MSC: 60F05 60G50 PDFBibTeX XMLCite \textit{M. N. Marushin}, Ukr. Math. J. 30, 617--621 (1979; Zbl 0418.60031) Full Text: DOI
Marushin, M. N. On an equality for the moments of values obtained as a result of symmetrization of an inhomogeneous Markov chain with two states. (Russian) Zbl 0412.60076 Teor. Veroyatn. Mat. Stat. 21, 117-123 (1979). MSC: 60J10 PDFBibTeX XML
Marusin, M. N. Über eine Konvergenz gegen das Poissonsche Gesetz für Summen unabhängiger Zufallsgrößen. (Russian) Zbl 0393.60025 Ukr. Mat. Zh. 30, 818-823 (1978). MSC: 60F05 60G50 PDFBibTeX XMLCite \textit{M. N. Marusin}, Ukr. Mat. Zh. 30, 818--823 (1978; Zbl 0393.60025)
Marushin, M. N. On conditions for convergence to the Poisson law and its moments for sums of independent random variables. (English) Zbl 0451.60029 Theory Probab. Math. Stat. 14, 93-101 (1977). MSC: 60F05 60G50 PDFBibTeX XMLCite \textit{M. N. Marushin}, Theory Probab. Math. Stat. 14, 93--101 (1977; Zbl 0451.60029)
Marushin, M. N. On the limit Poisson law for sums of \(m\)-dependent-variables. (Russian) Zbl 0439.60020 Teor. Sluch. Protsess. 5, 76-82 (1977). MSC: 60F05 60G50 PDFBibTeX XMLCite \textit{M. N. Marushin}, Teor. Sluch. Protsess. 5, 76--82 (1977; Zbl 0439.60020)
Marusin, M. N. On a problem of moments for positive integer random values. (Ukrainian) Zbl 0351.60003 Dopov. Akad. Nauk Ukr. RSR, Ser. A 1977, 109-112 (1977). MSC: 60A05 PDFBibTeX XMLCite \textit{M. N. Marusin}, Dopov. Akad. Nauk Ukr. RSR, Ser. A 1977, 109--112 (1977; Zbl 0351.60003)
Marusin, M. N. On conditions of convergence to Poisson law and its moments for sums of independent random variables. (Russian) Zbl 0398.60026 Teor. Veroyatn. Mat. Stat. 14, 88-95 (1976). MSC: 60F05 60G50 PDFBibTeX XML
Valeev, K. G.; Marusin, M. N. On some properties of the moments of the Poisson distribution. (Russian) Zbl 0394.60016 Math. Collect., Acad. Sci. Ukr. SSR, Inst. Math. 194-198 (1976). MSC: 60E05 PDFBibTeX XML
Marusin, M. N. An absolute limit theorem for the Poisson law of order \(p> 0\) for sums of independent random variables. (Ukrainian) Zbl 0328.60030 Dopov. Akad. Nauk Ukr. RSR, Ser. A 1975, 412-414 (1975). MSC: 60G50 60F99 PDFBibTeX XMLCite \textit{M. N. Marusin}, Dopov. Akad. Nauk Ukr. RSR, Ser. A 1975, 412--414 (1975; Zbl 0328.60030)
Marusin, M. N. Über einen Grenzwertsatz des Poissonschen Gesetzes der Ordnung \(p>0\) für Summen \(m\)-abhängiger Zufallsgrößen. (Ukrainian) Zbl 0299.60020 Dopov. Akad. Nauk Ukr. RSR, Ser. A 1972, 800-804 (1972). MSC: 60F05 PDFBibTeX XMLCite \textit{M. N. Marusin}, Dopov. Akad. Nauk Ukr. RSR, Ser. A 1972, 800--804 (1972; Zbl 0299.60020)
Marušin, M. N. Über die Konvergenz gegen die Momente der Normalverteilung für eine Markovsche Kette mit zwei Zuständen. (Ukrainian) Zbl 0284.60062 Dopov. Akad. Nauk Ukr. RSR, Ser. A 1972, 994-997 (1972). MSC: 60J10 60F05 PDFBibTeX XMLCite \textit{M. N. Marušin}, Dopov. Akad. Nauk Ukr. RSR, Ser. A 1972, 994--997 (1972; Zbl 0284.60062)
Marušin, M. N. A class of limit laws for nonhomogeneous two-state Markov chains. (English) Zbl 0256.60013 Sel. Transl. Math. Stat. Probab. 10, 6-10 (1972). MSC: 60F05 60J10 PDFBibTeX XMLCite \textit{M. N. Marušin}, Sel. Transl. Math. Stat. Probab. 10, 6--10 (1972; Zbl 0256.60013)
Marushin, M. N. A lemma due to Bernshtein for sums of dependent random variables. (English) Zbl 0233.60021 Math. Notes 10 (1971), 535-539 (1972). MSC: 60F05 PDFBibTeX XMLCite \textit{M. N. Marushin}, Math. Notes 10, 535--539 (1972; Zbl 0233.60021) Full Text: DOI
Marušin, M. N. On necessary and sufficient conditions for the applicability of the limit theorem of the normal law of order \(m>0\) for a uniform two-state Markov chain. (Ukrainian) Zbl 0265.60020 Dopov. Akad. Nauk Ukr. RSR, Ser. A 1971, 886-888 (1971). MSC: 60J10 60F05 PDFBibTeX XMLCite \textit{M. N. Marušin}, Dopov. Akad. Nauk Ukr. RSR, Ser. A 1971, 886--888 (1971; Zbl 0265.60020)
Marušin, M. N. Hauptlemma über die Anwendbarkeit des zentralen Grenzwertsatzes auf Markovsche Ketten mit zwei Zuständen. (Ukrainian) Zbl 0248.60050 Dopov. Akad. Nauk Ukr. RSR, Ser. A 1971, 508-511 (1971). MSC: 60J10 60F05 PDFBibTeX XMLCite \textit{M. N. Marušin}, Dopov. Akad. Nauk Ukr. RSR, Ser. A 1971, 508--511 (1971; Zbl 0248.60050)
Marushin, M. N. A lemma due to Bernshtein for sums of dependent random variables. (Russian) Zbl 0226.60041 Mat. Zametki 10, 187-194 (1971). MSC: 60F05 PDFBibTeX XMLCite \textit{M. N. Marushin}, Mat. Zametki 10, 187--194 (1971; Zbl 0226.60041)
Marushin, M. N. The Poisson limit theorem for a sum of m-dependent random variables. (Ukrainian) Zbl 0224.60013 Dopov. Akad. Nauk Ukr. RSR, Ser. A 1971, 699-702 (1971). MSC: 60F05 PDFBibTeX XMLCite \textit{M. N. Marushin}, Dopov. Akad. Nauk Ukr. RSR, Ser. A 1971, 699--702 (1971; Zbl 0224.60013)
Marushin, M. N. The limit theorem of the normal law for the uniform two-state Markov chain. (Ukrainian) Zbl 0174.21404 Dopov. Akad. Nauk Ukr. RSR, Ser. A 1969, 414-416 (1969). PDFBibTeX XMLCite \textit{M. N. Marushin}, Dopov. Akad. Nauk Ukr. RSR, Ser. A 1969, 414--416 (1969; Zbl 0174.21404)
Marushin, M. N. On a class of limit laws for Markov’s non-uniform two state chains. (Ukrainian) Zbl 0164.47602 Dopov. Akad. Nauk Ukr. RSR, Ser. A 1968, 607-611 (1968). PDFBibTeX XMLCite \textit{M. N. Marushin}, Dopov. Akad. Nauk Ukr. RSR, Ser. A 1968, 607--611 (1968; Zbl 0164.47602)
Marushin, M. N. Some remarks on convergence to a limiting Poisson distribution. (English. Russian original) Zbl 0211.49102 Theor. Probab. Appl. 10, 341-344 (1965); translation from Teor. Veroyatn. Primen. 10, 371-375 (1965). MSC: 60F05 PDFBibTeX XMLCite \textit{M. N. Marushin}, Theory Probab. Appl. 10, 341--344 (1965; Zbl 0211.49102); translation from Teor. Veroyatn. Primen. 10, 371--375 (1965) Full Text: DOI
Marushin, M. N. Applicability of a limit theorem of order \(p > 0\) to an inhomogeneous Markov chain with two states. (Russian) Zbl 0203.19305 Dokl. Akad. Nauk SSSR 154, 262-263 (1964). PDFBibTeX XMLCite \textit{M. N. Marushin}, Dokl. Akad. Nauk SSSR 154, 262--263 (1964; Zbl 0203.19305)
Marušin, M. N. Beweis des verallgemeinerten fundamentalen Lemmas von S. N. Bernštejn für die Summen von fast-unabhängigen Größen, die der Bedingung von Lindberg genügen. (Russian) Zbl 0053.09703 Dokl. Akad. Nauk SSSR, n. Ser. 90, 21-24 (1953). PDFBibTeX XMLCite \textit{M. N. Marušin}, Dokl. Akad. Nauk SSSR, n. Ser. 90, 21--24 (1953; Zbl 0053.09703)
Marušin, M. N. Über notwendige und hinreichende Bedingungen für die Anwendbarkeit eines Grenzwertsatzes der Ordnung \(p<2\). (Russian) Zbl 0051.10403 Dokl. Akad. Nauk SSSR, n. Ser. 90, 727-730 (1953). PDFBibTeX XMLCite \textit{M. N. Marušin}, Dokl. Akad. Nauk SSSR, n. Ser. 90, 727--730 (1953; Zbl 0051.10403)