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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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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The accuracy of the normal approximation to the distribution of the sum of a random number of independent random variables

Stability Problems for Stochastic Models - Lecture Notes in Mathematics ◽

10.1007/bfb0072709 ◽

1987 ◽

pp. 36-40 ◽

Author(s):

V. Yu. Korolev

Keyword(s):

Random Number ◽

Normal Approximation ◽

Random Variables ◽

Independent Random Variables

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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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On the normal approximation of a sum of a random number of independent random variables

Lithuanian Mathematical Journal ◽

10.1007/s10986-012-9185-1 ◽

2012 ◽

Vol 52 (4) ◽

pp. 435-443 ◽

Author(s):

Jonas Kazys Sunklodas

Keyword(s):

Random Number ◽

Normal Approximation ◽

Random Variables ◽

Independent Random Variables

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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 accuracy of the normal approximation for sums of symmetric independent random variables

Doklady Mathematics ◽

10.1134/s1064562412020354 ◽

2012 ◽

Vol 85 (2) ◽

pp. 292-296 ◽

Author(s):

I. G. Shevtsova

Keyword(s):

Normal Approximation ◽

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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Some estimates of normal approximation for the distribution of a sum of a random number of independent random variables

Lithuanian Mathematical Journal ◽

10.1007/s10986-012-9176-2 ◽

2012 ◽

Vol 52 (3) ◽

pp. 326-333 ◽

Author(s):

Jonas Kazys Sunklodas

Keyword(s):

Random Number ◽

Normal Approximation ◽

Random Variables ◽

Independent Random Variables

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