Estimating the rate of convergence for the distribution of the maximum sums of independent random quantities
作者： S. V. Nagaev
DOI: 10.1007/BF01078334
关键词: Convergence tests 、 Convergence of random variables 、 Mathematical analysis 、 Distribution (number theory) 、 Mathematics 、 Rate of convergence
摘要:
springer.com
sci-hub.se 参考文章(7)
S. V. Nagaev, Some Limit Theorems for Large Deviations Theory of Probability and Its Applications. ,vol. 10, pp. 214- 235 ,(1965) , 10.1137/1110027
Frank Spitzer, A Combinatorial Lemma and its Application to Probability Theory Transactions of the American Mathematical Society. ,vol. 82, pp. 323- 339 ,(1956) , 10.1007/978-1-4612-0459-6_1
Yu. V. Prokhorov, Convergence of Random Processes and Limit Theorems in Probability Theory Theory of Probability & Its Applications. ,vol. 1, pp. 157- 214 ,(1956) , 10.1137/1101016
Paul Erdös, Marc Kac, On certain limit theorems of the theory of probability Bulletin of the American Mathematical Society. ,vol. 52, pp. 292- 302 ,(1946) , 10.1090/S0002-9904-1946-08560-2
Kai Lai Chung, Asymptotic distribution of the maximum cumulative sum of independent random variables Bulletin of the American Mathematical Society. ,vol. 54, pp. 1162- 1170 ,(1948) , 10.1090/S0002-9904-1948-09143-1
Bengt Rosén, On the asymptotic distribution of sums of independent identically distributed random variables Arkiv för Matematik. ,vol. 4, pp. 323- 332 ,(1962) , 10.1007/BF02591508
E. H. Moore, Classes of sequences of positive numbers Bulletin of the American Mathematical Society. ,vol. 52, pp. 192- 219 ,(1946) , 10.1090/S0002-9904-1946-08523-7