Comments on the rate of convergence to asymptotic independence between order statistics

H.M. Barakat

doi:10.1016/j.spl.2005.07.009

Comments on the rate of convergence to asymptotic independence between order statistics

Statistics & Probability Letters ◽

10.1016/j.spl.2005.07.009 ◽

2006 ◽

Vol 76 (1) ◽

pp. 35-38 ◽

Cited By ~ 4

Author(s):

H.M. Barakat

Keyword(s):

Rate Of Convergence ◽

Order Statistics ◽

Asymptotic Independence

Download Full-text

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

Download Full-text

On the rate of convergence to asymptotic independence between order statistics under power normalization with extension to the generalized order statistics

Indian Journal of Pure and Applied Mathematics ◽

10.1007/s13226-010-0040-y ◽

2010 ◽

Vol 41 (6) ◽

pp. 703-714

Author(s):

H. M. Barakat ◽

E. M. Nigm

Keyword(s):

Rate Of Convergence ◽

Order Statistics ◽

Generalized Order Statistics ◽

Asymptotic Independence ◽

Power Normalization ◽

Generalized Order

Download Full-text

Asymptotic independence of distributions of normalized order statistics of the underlying probability measure

Journal of Multivariate Analysis ◽

10.1016/0047-259x(81)90083-x ◽

1981 ◽

Vol 11 (3) ◽

pp. 386-399 ◽

Cited By ~ 3

Author(s):

R.-D Reiss

Keyword(s):

Probability Measure ◽

Order Statistics ◽

Asymptotic Independence

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

Asymptotic Independence of Vector Components of Multivariate Extreme Order Statistics

Theory of Probability and Its Applications ◽

10.1137/1119091 ◽

1975 ◽

Vol 19 (4) ◽

pp. 817-821 ◽

Cited By ~ 2

Author(s):

V. G. Mikhailov

Keyword(s):

Order Statistics ◽

Asymptotic Independence ◽

Extreme Order Statistics

Download Full-text

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

Download Full-text