A remark on stable sequences of random variables and a limit distribution theorem for a random sum of independent random variables-Reference-Cited by-同舟云学术

A remark on stable sequences of random variables and a limit distribution theorem for a random sum of independent random variables

Published:1966-09 Issue:3-4 Volume:17 Page:401-409
ISSN:0001-5954
Container-title:Acta Mathematica Academiae Scientiarum Hungaricae
language:en
Short-container-title:Acta Mathematica Academiae Scientiarum Hungaricae

Author:

Mogyoródi J.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics,General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/BF01894883.pdf

Reference5 articles.

1. A. Rényi, On stable sequences of events,Sankhya, Series A,25 (1963), pp. 293–302.

2. A. Rényi, On mixing sequences of sets,Acta Math. Acad. Sci. Hung.,9 (1958), pp. 215–228.

3. W. Richter, Ein zentraler Grenzwertsatz für das Maximum einer zufälligen Anzahl unabhängiger Zufallsgrößen,Wissenschaftliche Zeischrift Techn. Univ. Dresden,13 (1964), pp. 1343–1346.

4. M. Loève,Probability Theory, Van Nostrand (New York, 1955).

5. J. Mogyoródi, A central limit theorem for the sum of a random number of independent random variables,Publications of the Math. Inst. Hung. Acad. Sci., Series A,7 (1962), pp. 409–424.

Cited by 17 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Stable convergence of random sequences with random indices;Journal of Mathematical Sciences;2000-04

2. Limit Theorems for Maximal Random Sums;Asymptotic Methods in Probability and Statistics;1998

3. Limit theorems and estimation theory for branching processes with an increasing random number of ancestors;Journal of Applied Probability;1997-06

4. Limit theorems and estimation theory for branching processes with an increasing random number of ancestors;Journal of Applied Probability;1997-06

5. Weak convergence of random sums and maximum random sums under nonrandom norming;Journal of Mathematical Sciences;1996-10