Rate of convergence to the normal law of sums of induced order statistics

V. A. Egorov; V. B. Nevzorov

doi:10.1007/bf01084792

Rate of convergence to the normal law of sums of induced order statistics

Journal of Soviet Mathematics ◽

10.1007/bf01084792 ◽

1984 ◽

Vol 25 (3) ◽

pp. 1139-1146 ◽

Cited By ~ 4

Author(s):

V. A. Egorov ◽

V. B. Nevzorov

Keyword(s):

Rate Of Convergence ◽

Order Statistics ◽

Induced Order Statistics ◽

Normal Law

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On the Rate of Convergence of Linear Combinations of Absolute Order Statistics to the Normal Law

Theory of Probability and Its Applications ◽

10.1137/1120026 ◽

1975 ◽

Vol 20 (1) ◽

pp. 203-211 ◽

Cited By ~ 3

Author(s):

V. A. Egorov ◽

V. B. Nevzorov

Keyword(s):

Rate Of Convergence ◽

Order Statistics ◽

Linear Combinations ◽

Absolute Order ◽

Normal Law

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Rate of convergence of the joint distribution of order statistics to the normal law

Journal of Soviet Mathematics ◽

10.1007/bf01682802 ◽

1983 ◽

Vol 23 (3) ◽

pp. 2275-2280 ◽

Cited By ~ 1

Author(s):

V. A. Egorov ◽

V. B. Nevzorov

Keyword(s):

Rate Of Convergence ◽

Order Statistics ◽

Joint Distribution ◽

Normal Law

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Estimates of the rate of convergence of sums of order statistics to the normal law. II

Journal of Soviet Mathematics ◽

10.1007/bf01676145 ◽

1981 ◽

Vol 16 (2) ◽

pp. 1028-1034

Author(s):

V. A. Egorov ◽

V. B. Nevzorov

Keyword(s):

Rate Of Convergence ◽

Order Statistics ◽

Normal Law

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On the Rate of Convergence to the Normal Law of Finitely Truncated Linear Combinations of Order Statistics

Theory of Probability and Its Applications ◽

10.1137/1133111 ◽

1989 ◽

Vol 33 (4) ◽

pp. 726-729

Author(s):

N. V. Gribkova

Keyword(s):

Rate Of Convergence ◽

Order Statistics ◽

Linear Combinations ◽

Normal Law

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Certain estimates of the rate of convergence of sums of order statistics to the normal law

Journal of Soviet Mathematics ◽

10.1007/bf01086104 ◽

1978 ◽

Vol 9 (1) ◽

pp. 81-99 ◽

Cited By ~ 1

Author(s):

V. A. Egorov ◽

V. B. Nevzorov

Keyword(s):

Rate Of Convergence ◽

Order Statistics ◽

Normal Law

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Rate of convergence to the normal law of order statistics for nonidentically distributed random variables

Journal of Soviet Mathematics ◽

10.1007/bf01850675 ◽

1984 ◽

Vol 27 (6) ◽

pp. 3263-3270

Author(s):

V. B. Nevzorov

Keyword(s):

Rate Of Convergence ◽

Order Statistics ◽

Random Variables ◽

Normal Law

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Estimation of the rate of convergence to the normal law of truncated linear combinations of order statistics

Mathematical Notes ◽

10.1007/bf01137438 ◽

1987 ◽

Vol 42 (5) ◽

pp. 906-910

Author(s):

N. V. Gribkova

Keyword(s):

Rate Of Convergence ◽

Order Statistics ◽

Linear Combinations ◽

Normal Law

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Asymptotic Properties of Order Statistics Attracted to Normal Law

Calcutta Statistical Association Bulletin ◽

10.1177/0008068319750102 ◽

1975 ◽

Vol 24 (1-4) ◽

pp. 13-22 ◽

Cited By ~ 1

Author(s):

K.C. Chanda

Keyword(s):

Order Statistics ◽

Asymptotic Properties ◽

Normal Law

[Formula: see text]

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On the rate of convergence to asymptotic independence between order statistics

Statistics & Probability Letters ◽

10.1016/j.spl.2003.10.020 ◽

2004 ◽

Vol 66 (3) ◽

pp. 355-362 ◽

Cited By ~ 4

Author(s):

Werner Hürlimann

Keyword(s):

Rate Of Convergence ◽

Order Statistics ◽

Asymptotic Independence

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Convergence of Sample Paths of Normalized Sums of Induced Order Statistics

The Annals of Statistics ◽

10.1214/aos/1176342823 ◽

1974 ◽

Vol 2 (5) ◽

pp. 1034-1039 ◽

Cited By ~ 75

Author(s):

P. K. Bhattacharya

Keyword(s):

Order Statistics ◽

Sample Paths ◽

Induced Order Statistics

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