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

V. A. Egorov; V. B. Nevzorov

doi:10.1137/1120026

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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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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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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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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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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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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Asymptotic behaviour of linear combinations of functions of order statistics

Journal of Statistical Planning and Inference ◽

10.1016/0378-3758(91)90069-q ◽

1991 ◽

Vol 28 (3) ◽

pp. 305-317 ◽

Cited By ~ 1

Author(s):

Rimas Norvaiša ◽

Ričardas Zitikis

Keyword(s):

Asymptotic Behaviour ◽

Order Statistics ◽

Linear Combinations

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Asymptotic Normality of Linear Combinations of Functions of Order Statistics

The Annals of Mathematical Statistics ◽

10.1214/aoms/1177697284 ◽

1969 ◽

Vol 40 (6) ◽

pp. 2041-2050 ◽

Cited By ~ 27

Author(s):

Galen R. Shorack

Keyword(s):

Asymptotic Normality ◽

Order Statistics ◽

Linear Combinations

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Prediction based on linear combinations of order statistics and bivariate concomitants in the case of multivariate elliptical distributions

Journal of Statistical Computation and Simulation ◽

10.1080/00949655.2012.739621 ◽

2012 ◽

Vol 84 (5) ◽

pp. 1079-1098 ◽

Cited By ~ 5

Author(s):

Seyedeh Zahra Aghamohammadi ◽

Ahad Jamalizadeh ◽

R. Farnoosh ◽

N. Balakrishnan

Keyword(s):

Order Statistics ◽

Elliptical Distributions ◽

Linear Combinations

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