On Local Limit Theorems for Sums of Independent Random Variables

V. V. Petrov

doi:10.1137/1109044

On Local Limit Theorems for Sums of Independent Random Variables

Theory of Probability and Its Applications ◽

10.1137/1109044 ◽

1964 ◽

Vol 9 (2) ◽

pp. 312-320 ◽

Cited By ~ 22

Author(s):

V. V. Petrov

Keyword(s):

Limit Theorems ◽

Random Variables ◽

Local Limit ◽

Independent Random Variables ◽

Local Limit Theorems

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Local Limit Theorems for Sums of Weighted Independent Random Variables

Theory of Probability and Its Applications ◽

10.1137/1121011 ◽

1976 ◽

Vol 21 (1) ◽

pp. 137-144 ◽

Cited By ~ 2

Author(s):

E. M. Shukri

Keyword(s):

Limit Theorems ◽

Random Variables ◽

Local Limit ◽

Independent Random Variables ◽

Local Limit Theorems

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On local limit theorems and Blackwell's renewal theorem for independent random variables

Annals of the Institute of Statistical Mathematics ◽

10.1007/bf02504668 ◽

1975 ◽

Vol 27 (1) ◽

pp. 507-520 ◽

Cited By ~ 4

Author(s):

Makoto Maejima

Keyword(s):

Limit Theorems ◽

Random Variables ◽

Local Limit ◽

Independent Random Variables ◽

Renewal Theorem ◽

Local Limit Theorems ◽

Blackwell's Renewal Theorem

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Local limit theorems for the probability of large deviations for the maximum of sums of independent random variables

Lithuanian Mathematical Journal ◽

10.1007/bf00970676 ◽

1978 ◽

Vol 18 (1) ◽

pp. 1-19

Author(s):

A. Aleškevičienė

Keyword(s):

Large Deviations ◽

Limit Theorems ◽

Random Variables ◽

Local Limit ◽

Independent Random Variables ◽

Local Limit Theorems

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Rate of convergence bounds in local limit theorems for sums of a random number of independent random variables

Journal of Soviet Mathematics ◽

10.1007/bf01104819 ◽

1989 ◽

Vol 47 (1) ◽

pp. 2315-2319

Author(s):

V. Yu. Korolev

Keyword(s):

Rate Of Convergence ◽

Limit Theorems ◽

Random Number ◽

Random Variables ◽

Local Limit ◽

Independent Random Variables ◽

Local Limit Theorems

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Local limit theorems for the density of the maximum of sums of independent random variables

Lithuanian Mathematical Journal ◽

10.1007/bf00971912 ◽

1986 ◽

Vol 26 (4) ◽

pp. 325-330 ◽

Cited By ~ 2

Author(s):

B. Kryžienė

Keyword(s):

Limit Theorems ◽

Random Variables ◽

Local Limit ◽

Independent Random Variables ◽

Local Limit Theorems

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Local limit theorems for sums of integer-valued independent random variables

Advances in Applied Probability ◽

10.1017/s0001867800029943 ◽

1978 ◽

Vol 10 (02) ◽

pp. 288

Author(s):

D. McDonald

Keyword(s):

Limit Theorems ◽

Random Variables ◽

Local Limit ◽

Independent Random Variables ◽

Local Limit Theorems

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Local limit theorems for sums of integer-valued independent random variables

Advances in Applied Probability ◽

10.2307/1426890 ◽

1978 ◽

Vol 10 (2) ◽

pp. 288-288

Author(s):

D. McDonald

Keyword(s):

Limit Theorems ◽

Random Variables ◽

Local Limit ◽

Independent Random Variables ◽

Local Limit Theorems

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Nonuniform estimates of convergence rate in local limit theorems for densities of the maximum of sums of independent random variables

Lithuanian Mathematical Journal ◽

10.1007/bf01651121 ◽

1977 ◽

Vol 17 (2) ◽

pp. 244-258 ◽

Cited By ~ 1

Author(s):

V. V. Naudžiũnienė

Keyword(s):

Convergence Rate ◽

Limit Theorems ◽

Random Variables ◽

Local Limit ◽

Independent Random Variables ◽

Estimates Of Convergence Rate ◽

Local Limit Theorems

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Local Limit Theorems for Conditionally Independent Random Variables Controlled by a Finite Markov Chain

Theory of Probability and Its Applications ◽

10.1137/s0040585x97977446 ◽

2000 ◽

Vol 44 (1) ◽

pp. 131-135

Author(s):

T. Shervashidze

Keyword(s):

Markov Chain ◽

Limit Theorems ◽

Random Variables ◽

Local Limit ◽

Independent Random Variables ◽

Finite Markov Chain ◽

Local Limit Theorems

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Local Limit Theorems and Recurrence Conditions for Sums of Independent Integer-Valued Random Variables

The Annals of Mathematical Statistics ◽

10.1214/aoms/1177692718 ◽

1972 ◽

Vol 43 (1) ◽

pp. 251-259 ◽

Cited By ~ 3

Author(s):

J. Mineka

Keyword(s):

Limit Theorems ◽

Random Variables ◽

Local Limit ◽

Local Limit Theorems

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