Limit theorems for random sums of independent random variables

Stability Problems for Stochastic Models - Lecture Notes in Mathematics ◽

10.1007/bfb0084486 ◽

1993 ◽

pp. 100-120 ◽

Author(s):

V.Yu. Korolev ◽

V. M. Kruglov

Keyword(s):

Limit Theorems ◽

Random Variables ◽

Independent Random Variables ◽

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On the Rates of Convergence in Central Limit Theorems for Compound Random Sums of Independent Random Variables

Lobachevskii Journal of Mathematics ◽

10.1134/s1995080221020128 ◽

2021 ◽

Vol 42 (2) ◽

pp. 374-393

Author(s):

Tran Loc Hung

Keyword(s):

Central Limit ◽

Limit Theorems ◽

Random Variables ◽

Rates Of Convergence ◽

Central Limit Theorems ◽

Independent Random Variables ◽

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V. V. Petrov Limit theorems of probability theory: sequences of independent random variables (Oxford Studies in Probability, Vol. 4, Clarendon Press, Oxford, 1995), x + 292pp., 0 19 853499 X, £50.

Proceedings of the Edinburgh Mathematical Society ◽

10.1017/s001309150002335x ◽

1996 ◽

Vol 39 (3) ◽

pp. 591-592

Author(s):

R. Ahmad

Keyword(s):

Probability Theory ◽

Limit Theorems ◽

Random Variables ◽

Independent Random Variables

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ON LOGARITHMIC REFINING TERMS IN LIMIT THEOREMS TAKING INTO ACCOUNT LARGE DEVIATIONS OF SUMS OF INDEPENDENT RANDOM VARIABLES

Vol. 2 ◽

10.1515/9783112319024-056 ◽

1990 ◽

pp. 552-562

Keyword(s):

Large Deviations ◽

Limit Theorems ◽

Random Variables ◽

Independent Random Variables

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Some limit theorems for large deviations of sums of independent random variables with a common distribution function from the domain of attraction of the normal law

Journal of Mathematical Sciences ◽

10.1007/s10958-005-0139-6 ◽

2005 ◽

Vol 127 (1) ◽

pp. 1767-1783 ◽

Author(s):

L. V. Rozovsky

Keyword(s):

Distribution Function ◽

Large Deviations ◽

Limit Theorems ◽

Random Variables ◽

Domain Of Attraction ◽

Independent Random Variables ◽

Common Distribution ◽

Common Distribution Function ◽

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Limiting distributions of random sums of independent random variables

Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete ◽

10.1007/bf00531680 ◽

1964 ◽

Vol 3 (1) ◽

pp. 7-18 ◽

Author(s):

Helen Wittenberg

Keyword(s):

Random Variables ◽

Independent Random Variables ◽

Random Sums ◽

Limiting Distributions

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Limit theorems for nonnegative independent random variables with truncation

Acta Mathematica Hungarica ◽

10.1007/s10474-014-0474-5 ◽

2014 ◽

Vol 145 (1) ◽

pp. 1-16 ◽

Author(s):

T. Nakata

Keyword(s):

Limit Theorems ◽

Random Variables ◽

Independent Random Variables

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CONDITIONAL CENTRAL LIMIT THEOREMS FOR A SEQUENCE OF CONDITIONAL INDEPENDENT RANDOM VARIABLES

Journal of the Korean Mathematical Society ◽

10.4134/jkms.2014.51.1.001 ◽

2014 ◽

Vol 51 (1) ◽

pp. 1-15 ◽

Author(s):

De-Mei Yuan ◽

Li-Ran Wei ◽

Lan Lei

Keyword(s):

Central Limit ◽

Limit Theorems ◽

Random Variables ◽

Central Limit Theorems ◽

Independent Random Variables

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Convergence of random processes without discontinuities of the second kind and limit theorems for sums of independent random variables

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-1977-0494376-9 ◽

1977 ◽

Vol 234 (2) ◽

pp. 361-361

Author(s):

L. Š. Grinblat

Keyword(s):

Limit Theorems ◽

Random Variables ◽

Random Processes ◽

Independent Random Variables

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5. Classical Theory of Limit Theorems for Sums of Independent Random Variables

Modern Theory of Summation of Random Variables ◽

10.1515/9783110936537.195 ◽

2011 ◽

Keyword(s):

Classical Theory ◽

Limit Theorems ◽

Random Variables ◽

Independent Random Variables

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The interplay between strong and weak limit theorems for sums of independent random variables

Asymptotic Behaviour of Linearly Transformed Sums of Random Variables ◽

10.1007/978-94-011-5568-7_9 ◽

1997 ◽

pp. 417-441

Author(s):

Valery Buldygin ◽

Serguei Solntsev

Keyword(s):

Limit Theorems ◽

Random Variables ◽

Independent Random Variables ◽

Weak Limit Theorems

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