Approximation of Distributions of Random Sums of Independent Random Variables by Mixtures of Normal Laws

Theory of Probability and Its Applications ◽

10.1137/1134062 ◽

1990 ◽

Vol 34 (3) ◽

pp. 523-531 ◽

Author(s):

V. Yu. Korolev

Keyword(s):

Random Variables ◽

Independent Random Variables ◽

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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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On the Difference between the Distribution Functions of Two Random Sums of Independent Random Variables

Mathematische Nachrichten ◽

10.1002/mana.19871340123 ◽

1987 ◽

Vol 134 (1) ◽

pp. 317-322 ◽

Author(s):

A. Krajka ◽

Z. Rychlik

Keyword(s):

Random Variables ◽

Distribution Functions ◽

Independent Random Variables ◽

Random Sums ◽

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ASYMMETRIC LINNIK DISTRIBUTIONS AS LIMIT LAWS FOR RANDOM SUMS OF INDEPENDENT RANDOM VARIABLES WITH FINITE VARIANCES

Informatics and Applications ◽

10.14357/19922264160403 ◽

2016 ◽

Keyword(s):

Random Variables ◽

Independent Random Variables ◽

Random Sums ◽

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On the rate of convergence in the global central limit theorem for random sums of independent random variables

Lithuanian Mathematical Journal ◽

10.1007/s10986-017-9358-z ◽

2017 ◽

Vol 57 (2) ◽

pp. 244-258 ◽

Author(s):

Jonas Kazys Sunklodas

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Rate Of Convergence ◽

Central Limit ◽

Random Variables ◽

Independent Random Variables ◽

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On the Weak Laws of Large Numbers for Compound Random Sums of Independent Random Variables with Convergence Rates

Bulletin of the Iranian Mathematical Society ◽

10.1007/s41980-021-00632-5 ◽

2021 ◽

Author(s):

Loc Hung Tran

Keyword(s):

Convergence Rates ◽

Random Variables ◽

Independent Random Variables ◽

Random Sums ◽

Laws Of Large Numbers ◽

Large Numbers ◽

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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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Nonuniform Estimates of the Accuracy of Normal Approximation of the Distributions of Random Sums of Independent Random Variables

Theory of Probability and Its Applications ◽

10.1137/1133118 ◽

1989 ◽

Vol 33 (4) ◽

pp. 755-759 ◽

Author(s):

V. Yu. Korolev

Keyword(s):

Normal Approximation ◽

Random Variables ◽

Independent Random Variables ◽

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An almost sure limit theorem for random sums of independent random variables in the domain of attraction of a semistable law

Russian Mathematics ◽

10.3103/s1066369x09110115 ◽

2009 ◽

Vol 53 (11) ◽

pp. 74-76

Author(s):

A. N. Chuprunov ◽

L. P. Terekhova

Keyword(s):

Limit Theorem ◽

Random Variables ◽

Domain Of Attraction ◽

Independent Random Variables ◽

Random Sums ◽

Almost Sure Limit Theorem ◽

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L 1 bounds for asymptotic normality of random sums of independent random variables

Lithuanian Mathematical Journal ◽

10.1007/s10986-013-9220-x ◽

2013 ◽

Vol 53 (4) ◽

pp. 438-447 ◽

Author(s):

Jonas Kazys Sunklodas

Keyword(s):

Asymptotic Normality ◽

Random Variables ◽

Independent Random Variables ◽

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A Weak Convergence Theorem for Random Sums of Independent Random Variables

The Annals of Mathematical Statistics ◽

10.1214/aoms/1177697120 ◽

1970 ◽

Vol 41 (2) ◽

pp. 710-712 ◽

Author(s):

Pedro J. Fernandez

Keyword(s):

Weak Convergence ◽

Convergence Theorem ◽

Random Variables ◽

Independent Random Variables ◽

Random Sums ◽

Weak Convergence Theorem

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