Klesov, O. I.; Kolesnik, O. V. Rate of convergence in the strong law of large numbers of records in an \(F^{\alpha}\) scheme. (Ukrainian. English summary) Zbl 07909386 Nauk. Visn. Uzhgorod. Univ., Ser. Mat. Inform. 43, No. 2, 29-33 (2023). MSC: 60F15 60G70 × Cite Format Result Cite Review PDF Full Text: DOI
Kolesnik, O. V. Central limit theorem for the number of records in \(F^{\alpha}\)-scheme. (Ukrainian. English summary) Zbl 07877849 Mohyla Math. J. 6, 35-38 (2023). MSC: 60F05 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Miaomiao; Wang, Min; Wang, Xuejun On a Spitzer-type law of large numbers for partial sums of independent and identically distributed random variables under sub-linear expectations. (English) Zbl 1528.60028 Bull. Korean Math. Soc. 60, No. 3, 687-703 (2023). Reviewer: Ecaterina Sava-Huss (Innsbruck) MSC: 60F15 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, M. M.; Wang, X. J. Equivalent conditions of complete convergence and Marcinkiewicz-Zygmund-type strong law of large numbers for i.i.d. sequences under sub-linear expectations. (English) Zbl 1538.60051 Acta Math. Hung. 170, No. 1, 330-350 (2023). Reviewer: Weiping Li (Guanghan) MSC: 60F15 × Cite Format Result Cite Review PDF Full Text: DOI
Rychlik, Tomasz; Szymkowiak, Magdalena Conditions for finiteness and bounds on moments of record values from iid continuous life distributions. (English) Zbl 07658860 Extremes 26, No. 1, 83-100 (2023). MSC: 62G32 60E15 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Savaş, Rabia; Patterson, Richard F. Summability approximation theorems of double random variables. (English) Zbl 07633420 Commun. Stat., Theory Methods 51, No. 24, 8617-8624 (2022). MSC: 40B05 60B12 × Cite Format Result Cite Review PDF Full Text: DOI
Rychlik, Tomasz Bounds on the expectations of \(L\)-statistics based on iid life distributions. (English) Zbl 07595982 Math. Methods Stat. 31, No. 2, 43-56 (2022). MSC: 62G30 60E15 × Cite Format Result Cite Review PDF Full Text: DOI
Klass, Michael J.; Li, Deli; Rosalsky, Andrew Divergence criterion for a class of random series related to the partial sums of I.I.D. random variables. (English) Zbl 1497.60038 J. Theor. Probab. 35, No. 3, 1556-1573 (2022). MSC: 60F15 60B12 60G50 × Cite Format Result Cite Review PDF Full Text: DOI
Rychlik, Tomasz Bounds on the expectations of \(L\)-statistics from iid symmetric populations in various scale units. (English) Zbl 1493.62256 Math. Methods Stat. 30, No. 3-4, 48-63 (2021). MSC: 62G30 60E15 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Mingzhou; Cheng, Kun Convergence for sums of i.i.d. random variables under sublinear expectations. (English) Zbl 1504.60052 J. Inequal. Appl. 2021, Paper No. 157, 14 p. (2021). MSC: 60F15 60F05 60G48 60H10 60F17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Kitani, Masato; Murakami, Hidetoshi On the distribution of the sum of independent and non-identically extended exponential random variables. (English) Zbl 1447.62018 Jpn. J. Stat. Data Sci. 3, No. 1, 23-37 (2020). MSC: 62E15 62H10 62N05 62F10 60E05 62P30 × Cite Format Result Cite Review PDF Full Text: DOI
Kazempoor, Jaber; Habibirad, Arezou; Okhli, Kheirolah Bounds for CDFs of order statistics arising from INID random variables. (English) Zbl 1445.62034 J. Iran. Stat. Soc. JIRSS 19, No. 1, 39-57 (2020). MSC: 62E17 62G07 62G30 × Cite Format Result Cite Review PDF Full Text: DOI
Aurzada, Frank Large deviations for infinite weighted sums of stretched exponential random variables. (English) Zbl 1431.60029 J. Math. Anal. Appl. 485, No. 2, Article ID 123814, 9 p. (2020). MSC: 60F10 60G50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dedecker, Jérôme; Merlevède, Florence Behavior of the empirical Wasserstein distance in \({\mathbb R}^d\) under moment conditions. (English) Zbl 1406.60009 Electron. J. Probab. 24, Paper No. 6, 32 p. (2019). MSC: 60B10 60F10 60F15 60E15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Gut, Allan; Martin-Löf, Anders An asymmetric St. Petersburg game with trimming. (English) Zbl 1430.60027 Adv. Appl. Probab. 50, No. A, 115-129 (2018). MSC: 60F05 60G50 26A12 60F15 × Cite Format Result Cite Review PDF Full Text: DOI
Berkes, I.; Borda, B. Berry-Esseen bounds and Diophantine approximation. (English) Zbl 1413.11093 Anal. Math. 44, No. 2, 149-161 (2018). Reviewer: Štefan Porubský (Praha) MSC: 11K60 60F05 60G50 × Cite Format Result Cite Review PDF Full Text: DOI
Bayramoglu (Bairamov), Ismihan A note on the ordering of distribution functions of INID random variables. (English) Zbl 1524.62216 J. Comput. Appl. Math. 343, 49-54 (2018). MSC: 62G30 62-02 62F35 62E15 62F10 × Cite Format Result Cite Review PDF Full Text: DOI
Latała, Rafał; Strzelecka, Marta Comparison of weak and strong moments for vectors with independent coordinates. (English) Zbl 1429.60027 Mathematika 64, No. 1, 211-229 (2018). Reviewer: Rasul A. Khan (Forest Glen) MSC: 60E15 60G50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gut, Allan; Stadtmüller, Ulrich Complete convergence for arrays and the law of the single logarithm. (English) Zbl 1374.60047 Bull. Aust. Math. Soc. 96, No. 2, 333-344 (2017). MSC: 60F15 60E15 60G50 × Cite Format Result Cite Review PDF Full Text: DOI
Shevtsova, I. G. On convergence rate in CLT for smooth distributions. (English. Russian original) Zbl 1380.60036 J. Math. Sci., New York 220, No. 6, 742-752 (2017); translation from Statisticheskie Metody Otsenivaniya i Proverki Gipotez 19, 169-178 (2006). MSC: 60F05 × Cite Format Result Cite Review PDF Full Text: DOI
Borovkov, Alexander A.; Borovkov, Konstantin A. A refined version of the integro-local Stone theorem. (English) Zbl 1356.60032 Stat. Probab. Lett. 123, 153-159 (2017). MSC: 60F05 60F99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Priya, R. S.; Thomas, P. Yageen An application of ranked set sampling when observations from several distributions are to be included in the sample. (English) Zbl 1349.62164 Commun. Stat., Theory Methods 45, No. 23, 7040-7052 (2016). MSC: 62G30 62D05 62J05 × Cite Format Result Cite Review PDF Full Text: DOI
Götze, F.; Eliseeva, Yu. S.; Zaitsev, A. Yu. Arak’s inequalities for concentration functions and the Littlewood-Offord problem. (English. Russian original) Zbl 1360.60041 Dokl. Math. 93, No. 2, 202-206 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 467, No. 5, 514-518 (2016). Reviewer: Rasul A. Khan (Forest Glen) MSC: 60E15 60G50 11N37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sunklodas, Jonas Kazys On the normal approximation under some condition for a differential equation of the characteristic function. (English) Zbl 1342.60036 Lith. Math. J. 56, No. 1, 114-126 (2016). MSC: 60F05 60F25 × Cite Format Result Cite Review PDF Full Text: DOI
Feng, Fengxiang; Wang, Dingcheng Almost sure central limit theorem for products of sums of partial sums. (English) Zbl 1333.60050 J. Inequal. Appl. 2016, Paper No. 49, 12 p. (2016). MSC: 60F15 60F05 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Murakami, H. Approximations to the distribution of sum of independent non-identically gamma random variables. (English) Zbl 1405.62025 Math. Sci., Springer 9, No. 4, 205-213 (2015). MSC: 62E17 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Fu, Zongkui; Wu, Qunying Precise asymptotics for self-normalized sums of independent and identically distributed random variables. (Chinese. English summary) Zbl 1363.60015 Pure Appl. Math. 31, No. 6, 596-603 (2015). MSC: 60F05 60G50 × Cite Format Result Cite Review PDF Full Text: DOI
Priya, R. S.; Thomas, P. Yageen A note on the use of some functions of spacings in the estimation of common scale parameter of several symmetric distributions. (English) Zbl 1332.62163 Commun. Stat., Theory Methods 44, No. 14, 2924-2932 (2015). MSC: 62G30 62G05 × Cite Format Result Cite Review PDF Full Text: DOI
Rozovsky, L. V. Small deviation probabilities for sums of independent positive random variables with a distribution that slowly varies at zero. (English. Russian original) Zbl 1359.60047 J. Math. Sci., New York 204, No. 1, 155-164 (2015); translation from Zap. Nauchn. Semin. POMI 412, 237-251 (2013). MSC: 60F99 60G50 60G70 × Cite Format Result Cite Review PDF Full Text: DOI
T. G, Veena; Thomas, P. Yageen Application of concomitants of order statistics of independent non identically distributed random variables in estimation. (English) Zbl 1329.62221 Commun. Stat., Theory Methods 44, No. 12, 2530-2545 (2015). MSC: 62G30 × Cite Format Result Cite Review PDF Full Text: DOI
Yi, Yanchun; Qiu, Dehua A note on the Kolmogorov-Feller weak law of large numbers. (English) Zbl 1340.60019 J. Math. Res. Appl. 35, No. 2, 223-228 (2015). MSC: 60F05 × Cite Format Result Cite Review PDF Full Text: DOI
Shevtsova, I. G. On convergence rate in the local limit theorem for densities. (English. Russian original) Zbl 1327.60064 J. Math. Sci., New York 205, No. 1, 105-112 (2015); translation from Statisticheskie Metody Otsenivaniya i Proverki Gipotez 18, 114-127 (2005). MSC: 60F05 60F99 60G50 × Cite Format Result Cite Review PDF Full Text: DOI
Hu, Tien-Chung; Rosalsky, Andrew A note on random variables with an infinite absolute first moment. (English) Zbl 1314.60071 Stat. Probab. Lett. 97, 212-215 (2015). MSC: 60E99 60F15 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Xiangdong; Guan, Zongping; Hu, Tien Chung Strong law for linear processes. (English) Zbl 1310.60019 J. Inequal. Appl. 2015, Paper No. 144, 10 p. (2015). MSC: 60F05 60F25 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Murakami, Hidetoshi A saddlepoint approximation to the distribution of the sum of independent non-identically uniform random variables. (English) Zbl 1541.62048 Stat. Neerl. 68, No. 4, 267-275 (2014). MSC: 62E17 60G50 × Cite Format Result Cite Review PDF Full Text: DOI
Bhati, Deepesh; Rattihalli, R. N. Distributions of sums of geometrically weighted finite valued discrete random variables. (English) Zbl 1295.60016 ProbStat Forum 7, Article No. 02, 12-20 (2014). MSC: 60E05 60E99 × Cite Format Result Cite Review PDF Full Text: Link
Sunklodas, Jonas Some estimates of the normal approximation for independent non-identically distributed random variables. (English) Zbl 1283.60040 Lith. Math. J. 51, No. 1, 66-74 (2011). MSC: 60F05 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Ying-Xia; Zhu, Wei-Jun Note on the strong law of large numbers in a Hilbert space. (English) Zbl 1265.60044 Gen. Math. 19, No. 3, 11-18 (2011). MSC: 60F15 60B11 × Cite Format Result Cite Review PDF
Zaitsev, A. Yu. On the rate of decay of concentration functions of \(n\)-fold convolutions of probability distributions. (English. Russian original) Zbl 1253.60047 Vestn. St. Petersbg. Univ., Math. 44, No. 2, 110-114 (2011); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2011, No. 2, 29-33 (2011). MSC: 60F15 × Cite Format Result Cite Review PDF Full Text: DOI
Sajeevkumar, N. K. Use of quasi-ranges in the estimation of scale parameter of a symmetric distribution. (English) Zbl 1216.62049 Commun. Stat., Theory Methods 40, No. 10, 1780-1786 (2011). MSC: 62G05 62G30 62F10 × Cite Format Result Cite Review PDF Full Text: DOI
Uchiyama, Kôhei One dimensional lattice random walks with absorption at a point/on a half line. (English) Zbl 1234.60051 J. Math. Soc. Japan 63, No. 2, 675-713 (2011). Reviewer: Ion Cuculescu (Bucureşti) MSC: 60G50 60J45 60G51 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ryu, Dae-Hee Precise asymptotics in strong limit theorems for negatively associated random fields. (English) Zbl 1294.60068 J. Appl. Math. Inform. 28, No. 3-4, 1025-1034 (2010). MSC: 60G50 60F10 60E07 × Cite Format Result Cite Review PDF
Chen, Pingyan; Guan, Zongping Strong law for moving average processes of arrays. (Chinese. English summary) Zbl 1240.60035 Acta Math. Sci., Ser. A, Chin. Ed. 30, No. 6, 1394-1401 (2010). MSC: 60F05 60F15 × Cite Format Result Cite Review PDF
Pang, T.-X.; Lin, Z.-Y. On the rates of the Chung-type law of logarithm. (English. Russian original) Zbl 1227.60036 Theory Probab. Appl. 54, No. 4, 703-717 (2010) and Teor. Veroyatn. Primen. 54, No. 4, 814-828 (2009). MSC: 60F15 60G70 × Cite Format Result Cite Review PDF Full Text: DOI
Hung, Tran Loc; Thanh, Tran Thien Some results on asymptotic behaviors of random sums of independent identically distributed random variables. (English) Zbl 1218.60036 Commun. Korean Math. Soc. 25, No. 1, 119-128 (2010). Reviewer: Peter Kern (Düsseldorf) MSC: 60G50 60F05 × Cite Format Result Cite Review PDF Full Text: DOI
Sajeevkumar, N. K.; Thomas, P. Yageen Use of spacings in the estimation of common scale parameter of several distributions. (English) Zbl 1318.62155 Commun. Stat., Theory Methods 39, No. 11, 1951-1959 (2010). MSC: 62G30 62G05 × Cite Format Result Cite Review PDF Full Text: DOI
Nidhin, K.; Chandran, C. Limit theorems of general functions of independent and identically distributed random variables. (English) Zbl 1185.60022 Stat. Probab. Lett. 79, No. 23, 2397-2404 (2009). Reviewer: Tadeusz Inglot (Wrocław) MSC: 60F05 60E07 60G70 60E99 62E10 × Cite Format Result Cite Review PDF Full Text: DOI
Csörgő, Sándor; Simons, Gordon Weak laws of large numbers for cooperative gamblers. (English) Zbl 1386.60083 Period. Math. Hung. 57, No. 1, 31-60 (2008). MSC: 60F05 60F15 91A12 × Cite Format Result Cite Review PDF Full Text: DOI
Januškevičius, Romanas; Januškevičienė, Olga On stability estimations without any conditions of symmetry. (Lithuanian. English summary) Zbl 1160.60320 Liet. Mat. Rink. 46, Spec. Iss., 439-441 (2006). MSC: 60G50 60E10 × Cite Format Result Cite Review PDF
Dil’man, S. V. Asymptotics in the Baum-Katz formula for random fields. (English. Russian original) Zbl 1141.60026 Math. Notes 79, No. 5, 625-631 (2006); translation from Mat. Zametki 79, No. 5, 674-680 (2006). Reviewer: Allan Gut (Uppsala) MSC: 60G60 × Cite Format Result Cite Review PDF Full Text: DOI
Borovkov, A. A.; Mogul’skij, A. A. Integro-local theorems for sums of independent random vectors in the series scheme. (English. Russian original) Zbl 1114.60037 Math. Notes 79, No. 4, 468-482 (2006); translation from Mat. Zametki 79, No. 4, 505-521 (2006). MSC: 60G50 × Cite Format Result Cite Review PDF Full Text: DOI
Rogozin, B. A. Compactness and the concentration functions of the convolutions of a distribution. (English. Russian original) Zbl 1094.60009 Theory Probab. Appl. 50, No. 1, 99-111 (2006); translation from Teor. Veroyatn. Primen. 50, No. 1, 81-97 (2005). Reviewer: Vladimir Vatutin (Moskva) MSC: 60E10 60E05 × Cite Format Result Cite Review PDF Full Text: DOI
Lebedev, A. V. Maxima of independent sums in the presence of heavy tails. (English. Russian original) Zbl 1094.60033 Theory Probab. Appl. 49, No. 4, 700-703 (2005); translation from Teor. Veroyatn. Primen. 49, No. 4, 791-794 (2004). Reviewer: Marius Iosifescu (Bucureşti) MSC: 60G50 26A12 × Cite Format Result Cite Review PDF Full Text: DOI
Berg, Christian On powers of Stieltjes moment sequences, I. (English) Zbl 1086.44003 J. Theor. Probab. 18, No. 4, 871-889 (2005). Reviewer: S. L. Kalla (Kuwait) MSC: 44A60 60E07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pang, Tian-Xiao; Lin, Zheng-Yan Precise rates in the law of logarithm for i.i.d. random variables. (English) Zbl 1080.60048 Comput. Math. Appl. 49, No. 7-8, 997-1010 (2005). Reviewer: Aurel Spătaru (Bucureşti) MSC: 60G50 60F15 60F25 × Cite Format Result Cite Review PDF Full Text: DOI
Klesov, Oleg; Rosalsky, Andrew; Volodin, Andrei I. On the almost sure growth rate of sums of lower negatively dependent nonnegative random variables. (English) Zbl 1070.60030 Stat. Probab. Lett. 71, No. 2, 193-202 (2005). MSC: 60F15 × Cite Format Result Cite Review PDF Full Text: DOI
Giuliano Antonini, Rita; Weber, Michel Counting occurrences in almost sure limit theorems. (English) Zbl 1068.60043 Colloq. Math. 102, No. 2, 271-290 (2005). MSC: 60F15 60G50 60F05 60E07 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Deli; Nguyen, Bao-Em; Rosalsky, Andrew A supplement to precise asymptotics in the law of the iterated logarithm. (English) Zbl 1061.60027 J. Math. Anal. Appl. 302, No. 1, 84-96 (2005). Reviewer: Nijole Kalinauskaitė (Vilnius) MSC: 60F15 60F10 × Cite Format Result Cite Review PDF Full Text: DOI
Zhao, Wu; Chen, Liangjun A note on moment convergences for martingale random variables on Banach spaces. (Chinese. English summary) Zbl 1083.60501 J. Univ. Electron. Sci. Technol. China 33, No. 2, 211-213 (2004). MSC: 60B12 × Cite Format Result Cite Review PDF
Jiang, Deyuan; Lin, Zhengyan Paley-type inequalities in complete convergence. (Chinese. English summary) Zbl 1073.60032 Chin. Ann. Math., Ser. A 25, No. 4, 469-476 (2004). MSC: 60F15 60E15 × Cite Format Result Cite Review PDF
Gut, A. An extension of the Kolmogorov-Feller weak law of large numbers with an application to the St. Petersburg game. (English) Zbl 1064.60037 J. Theor. Probab. 17, No. 3, 769-779 (2004). Reviewer: Wiesław Dziubdziela (Kielce) MSC: 60F05 × Cite Format Result Cite Review PDF Full Text: DOI
Rosalsky, Andrew; Taylor, Robert L. Some strong and weak limit theorems for weighted sums of i.i.d. Banach space valued random elements with slowly varying weights. (English) Zbl 1158.60305 Stochastic Anal. Appl. 22, No. 4, 1111-1120 (2004). MSC: 60B12 60B11 × Cite Format Result Cite Review PDF Full Text: DOI
Spataru, Aurel Precise asymptotics for a series of T. L. Lai. (English) Zbl 1042.60013 Proc. Am. Math. Soc. 132, No. 11, 3387-3395 (2004). MSC: 60F15 60G50 × Cite Format Result Cite Review PDF Full Text: DOI
Veretennikov, A. Yu. An essay on the theme of a theorem of Boris Vladimirovich Gnedenko. (Russian, English) Zbl 1097.60057 Teor. Jmovirn. Mat. Stat. 69, 16-25 (2004); translation in Theory Probab. Math. Stat. 69, 17-25 (2004). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 60J10 60F05 × Cite Format Result Cite Review PDF Full Text: Link
Baltrūnas, A.; Omey, E. Second-order subexponential behavior of subordinated sequences. (English) Zbl 1051.60036 Lith. Math. J. 43, No. 4, 339-346 (2003) and Liet. Mat. Rink 43, No. 4, 411-420 (2003). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 60F99 41A60 60K25 60K05 60E07 × Cite Format Result Cite Review PDF Full Text: DOI
Scheffler, Hans-Peter Precise asymptotics in Spitzer and Baum-Katz’s law of large numbers: The semistable case. (English) Zbl 1037.60046 J. Math. Anal. Appl. 288, No. 1, 285-298 (2003). Reviewer: Aurel Spătaru (Bucureşti) MSC: 60G50 60E07 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Yuebao; Yang, Yang A general law of precise asymptotics for the counting process of record times. (English) Zbl 1031.60037 J. Math. Anal. Appl. 286, No. 2, 753-764 (2003). Reviewer: Aurel Spătaru (Bucureşti) MSC: 60G50 × Cite Format Result Cite Review PDF Full Text: DOI
Gao, Fuqing Moderate deviations and Erdős-Rényi-Shepp laws for weighted sums. (English) Zbl 1024.60011 J. Math. Anal. Appl. 285, No. 1, 1-7 (2003). MSC: 60F10 × Cite Format Result Cite Review PDF Full Text: DOI
Gut, Allan; Spătaru, Aurel Precise asymptotics in some strong limit theorems for multidimensionally indexed random variables. (English) Zbl 1031.60032 J. Multivariate Anal. 86, No. 2, 398-422 (2003). Reviewer: A.D.Barbour (Zürich) MSC: 60G50 60E07 60F10 60E15 × Cite Format Result Cite Review PDF Full Text: DOI
Schlather, Martin Limit distributions of norms of vectors of positive i. i. d. random variables. (English) Zbl 1014.60015 Ann. Probab. 29, No. 2, 862-881 (2001). Reviewer: Alexander Lindner (München) MSC: 60F05 60G50 60G70 60E07 × Cite Format Result Cite Review PDF Full Text: DOI
Gut, A. Convergence rates in the central limit theorem for multidimensionally indexed random variables. (English) Zbl 1006.60042 Stud. Sci. Math. Hung. 37, No. 3-4, 401-418 (2001). Reviewer: Endre Csáki (Budapest) MSC: 60G50 60E07 60F10 60E15 × Cite Format Result Cite Review PDF
Startsev, A. N.; Madrakhimova, D. On a non-Markovian model of interacting particles. (English) Zbl 1004.60096 Aivazian, S. (ed.) et al., Computer data analysis and modeling: Robustness and computer intensive methods (CDAM 2001). Proceedings of the 6th international conference, Minsk, Belarus, September 10-14, 2001. Vol. 2. Minsk: Belarusian State Univ., National Research Center for Applied Problems of Mathematics and Informatics; Belarusian Republican Foundation for Fundamental Research; Belarusian Statistical Association; 985-445-491-6 (vol. 2)). 244-249 (2001). MSC: 60K35 82C22 × Cite Format Result Cite Review PDF
Sung, Soo Hak Strong laws for weighted sums of i. i. d. random variables. (English) Zbl 1020.60016 Stat. Probab. Lett. 52, No. 4, 413-419 (2001). Reviewer: Valeriy Koval’ (Shytomyr) MSC: 60F15 × Cite Format Result Cite Review PDF Full Text: DOI
Gut, Allan; Spătaru, Aurel Precise asymptotics in the law of the iterated logarithm. (English) Zbl 1044.60024 Ann. Probab. 28, No. 4, 1870-1883 (2000). MSC: 60F15 60G50 60E15 × Cite Format Result Cite Review PDF Full Text: DOI
Gantert, Nina The maximum of a branching random walk with semiexponential increments. (English) Zbl 1023.60073 Ann. Probab. 28, No. 3, 1219-1229 (2000). MSC: 60J80 60G50 60K35 × Cite Format Result Cite Review PDF Full Text: DOI
Su, Chun; Liang, Hanying; Wang, Yuebao Hsu-Robbins type theorems for pairwise products sums of i. i. d. random variables. I. (Chinese. English summary) Zbl 1011.60013 Acta Math. Sin. 43, No. 5, 875-886 (2000). MSC: 60F15 × Cite Format Result Cite Review PDF
Klesov, O. I. The law of the iterated logarithm for multiple sums. (English. Ukrainian original) Zbl 0985.60021 Theory Probab. Math. Stat. 61, 41-48 (2000); translation from Teor. Jmovirn. Mat. Stat. 61, 39-46 (2000). Reviewer: A.V.Swishchuk (Kyïv) MSC: 60F05 60G60 60G50 × Cite Format Result Cite Review PDF
Sugakova, O. V. Central moments of a nonhomogeneous renewal process. (English. Ukrainian original) Zbl 0994.60024 Theory Probab. Math. Stat. 62, 157-163 (2001); translation from Teor. Jmovirn. Mat. Stat. 62, 145-150 (2000). Reviewer: A.V.Swishchuk (Kyïv) MSC: 60F05 60G50 60J75 60K05 × Cite Format Result Cite Review PDF
Klesov, O. I. The existence of moments of the suprema of multiple sums and the strong law of large numbers. (English. Ukrainian original) Zbl 1004.60030 Theory Probab. Math. Stat. 62, 27-37 (2001); translation from Teor. Jmovirn. Mat. Stat. 62, 27-36 (2000). Reviewer: A.V.Swishchuk (Kyïv) MSC: 60F99 60G50 60F15 × Cite Format Result Cite Review PDF
Mikusheva, A. E. The law of large numbers and the logarithmic law for arrays. (Russian. English summary) Zbl 0983.60018 Fundam. Prikl. Mat. 6, No. 1, 195-206 (2000). Reviewer: Alexander Kachurovskij (Novosibirsk) MSC: 60F15 × Cite Format Result Cite Review PDF Full Text: Link
Kiesel, Rüdiger; Stadtmüller, Ulrich A large deviation principle for weighted sums of independent identically distributed random variables. (English) Zbl 0967.60025 J. Math. Anal. Appl. 251, No. 2, 929-939 (2000). Reviewer: Zdzislaw Rychlik (Lublin) MSC: 60F10 40G05 × Cite Format Result Cite Review PDF Full Text: DOI
Hwang, Chao-Ming A theorem of renewal process for fuzzy random variables and its application. (English) Zbl 0966.60081 Fuzzy Sets Syst. 116, No. 2, 237-244 (2000). Reviewer: Neculai Curteanu (Iaşi) MSC: 60K05 93C42 94D05 × Cite Format Result Cite Review PDF Full Text: DOI
Zaigraev, Alexander Multivariate large deviations with stable limit laws. (English) Zbl 0985.60027 Probab. Math. Stat. 19, No. 2, 323-335 (1999). MSC: 60F10 60G50 60E07 × Cite Format Result Cite Review PDF
Chuprunov, A. N. On convergence in law of maxima of independent identically distributed random variables with random coefficients. (English. Russian original) Zbl 0965.60034 Theory Probab. Appl. 44, No. 1, 93-97 (1999); translation from Teor. Veroyatn. Primen. 44, No. 1, 138-143 (1999). Reviewer: Alexander V.Bulinskij (Moskva) MSC: 60F05 60F17 × Cite Format Result Cite Review PDF Full Text: DOI
Lee, Min-Young The optimal bivariate Bonferroni-type lower bounds. (English) Zbl 0976.60034 Commun. Korean Math. Soc. 14, No. 4, 789-795 (1999). Reviewer: Neculai Curteanu (Iaşi) MSC: 60E15 60C05 × Cite Format Result Cite Review PDF
Polyak, I. J. Some nonuniform estimate in the central limit theorem. (Ukrainian. English summary) Zbl 0973.60024 Nauk. Visn. Uzhgorod. Univ., Ser. Mat. 3, 169-170 (1998). Reviewer: A.D.Borisenko (Kyïv) MSC: 60F05 × Cite Format Result Cite Review PDF
Conze, Jean-Pierre; Guivarc’h, Yves; Raugi, Albert Random variables without first moment overtake their partial sums. (Dépassement des sommes partielles pour des v. a. indépendantes sans moment.) (French) Zbl 0983.60020 Fascicule de probabilités, 1998. Rennes: Univ. de Rennes I, Institut de Recherche Mathématique de Rennes, Publ. Inst. Rech. Math. Rennes. 6 p. (1998). Reviewer: B.Le Gac (Marseille) MSC: 60F15 × Cite Format Result Cite Review PDF
Nagaev, A. V. Large deviations for sums of lattice random variables under the Cramer conditions. (English. Russian original) Zbl 0976.60036 Discrete Math. Appl. 8, No. 4, 403-419 (1998); translation from Diskretn. Mat. 10, No. 3, 115-130 (1998). Reviewer: Nina Gantert (Berlin) MSC: 60F10 60G50 × Cite Format Result Cite Review PDF Full Text: DOI
Schoutens, Wim Lévy-Sheffer and iid-Sheffer polynomials with applications to stochastic integrals. (English) Zbl 0929.60028 J. Comput. Appl. Math. 99, No. 1-2, 365-372 (1998). MSC: 60G42 60G51 60H05 11B83 33C45 × Cite Format Result Cite Review PDF Full Text: DOI
Kochubei, Anatoly N. Limit theorems for sums of \(p\)-adic random variables. (English) Zbl 0954.60001 Expo. Math. 16, No. 5, 425-439 (1998). Reviewer: A.Ulanovskij (Khar’kov) MSC: 60E07 60B15 × Cite Format Result Cite Review PDF Full Text: arXiv
Gajek, Lesław; Rychlik, Tomasz Projection method for moment bounds on order statistics from restricted families. II: Independent case. (English) Zbl 0906.62050 J. Multivariate Anal. 64, No. 2, 156-182 (1998). MSC: 62G30 62E10 62E15 × Cite Format Result Cite Review PDF Full Text: DOI
Zinchenko, N. M. Generalization of strong invariance principle for multiple sums of random variables in the domain of attraction of a stable law. (English. Ukrainian original) Zbl 0943.60022 Theory Probab. Math. Stat. 57, 33-42 (1998); translation from Teor. Jmovirn. Mat. Stat. 57, 31-40 (1997). Reviewer: A.V.Swishchuk (Kyïv) MSC: 60F15 60G50 60E07 60F17 × Cite Format Result Cite Review PDF
Kohda, Tohru I. i. d. chaotic binary sequences. (English) Zbl 0939.65004 RIMS Kokyuroku 1011, 1-15 (1997). MSC: 65C10 11K45 94A55 × Cite Format Result Cite Review PDF
Pruss, Alexander R. A two-sided estimate in the Hsu-Robbins-Erdős law of large numbers. (English) Zbl 0911.60021 Stochastic Processes Appl. 70, No. 2, 173-180 (1997). Reviewer: P.Lachout (Praha) MSC: 60F15 60F99 × Cite Format Result Cite Review PDF Full Text: DOI
Karapetyan, A. G. On miminum modulus of trigonometric polynomials with random coefficients. (English. Russian original) Zbl 0917.42012 Math. Notes 61, No. 3, 369-373 (1997); translation from Mat. Zametki 61, No. 3, 451-455 (1997). Reviewer: Ferenc Móricz (Szeged) MSC: 42A61 × Cite Format Result Cite Review PDF Full Text: DOI
Basalykas, A. The rate of convergence for quadratic forms. (English) Zbl 0897.60004 Lith. Math. J. 37, No. 3, 191-206 (1997) and Liet. Mat. Rink. 37, No. 3, 259-279 (1997). Reviewer: J.Kawabe (Wakasato) MSC: 60B12 60F05 × Cite Format Result Cite Review PDF Full Text: DOI
Mitov, K. V.; Grishechkin, S. A.; Yanev, N. M. Limit theorems for regenerative processes. (English) Zbl 0928.60015 C. R. Acad. Bulg. Sci. 49, No. 6, 29-32 (1996). Reviewer: R.J.Tomkins (Regina) MSC: 60F05 60G50 60K05 × Cite Format Result Cite Review PDF
Young, Dean M.; Lehman, Leah M.; Meaux, Laurie M. Independence distribution-preserving nonnegative-definite covariance structures for the sample variance. (English) Zbl 0896.62048 Aust. J. Stat. 38, No. 2, 193-200 (1996). MSC: 62H05 15A24 × Cite Format Result Cite Review PDF Full Text: DOI
Jakševičius, Š. On approximation by a Poisson type convolution. (English. Russian original) Zbl 0884.60021 Lith. Math. J. 36, No. 3, 249-255 (1996); translation from Liet. Mat. Rink. 36, No. 3, 313-321 (1996). Reviewer: J.Steinebach (Marburg) MSC: 60F05 62E17 × Cite Format Result Cite Review PDF Full Text: DOI
Kiesel, Rüdiger; Stadtmüller, Ulrich Erdös-Rényi-Shepp laws and weighted sums of independent identically distributed random variables. (English) Zbl 0878.60028 J. Theor. Probab. 9, No. 4, 961-982 (1996). MSC: 60F15 × Cite Format Result Cite Review PDF Full Text: DOI