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Some Information Measures in Concomitants of Generalized Order Statistics Under Iterated Farlie-Gumbel-Morgenstern Bivariate Type

Quaestiones Mathematicae, 2021
In this paper, we study the concomitants of generalized order statistics from iterated Farlie-Gumbel-Morgenstern (FGM) bivariate  distribution. Three information measures, the Shannon entropy, the Kullback-Leibler distance and the Fisher information
Haroon M Barakat
exaly   +1 more source

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On the dependence structure of order statistics and concomitants of order statistics

Journal of Statistical Planning and Inference, 1990
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kim, S. H., David, H. A.
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Regression via order statistics and their concomitants

Statistics, 2012
We consider a five-dimensional normal distribution and derive the exact joint distribution one variable, linear combinations of order statistics from two other variables, and linear combinations of the corresponding concomitants of these order statistics. We show that this joint distribution is a mixture of trivariate unified skew-normal distributions.
N. Balakrishnan, H.R. Chareh, Ahad Jamalizadeh   +2 more
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A Note on Extremes of Concomitants of Order Statistics

Extremes, 2000
For a sequence \((X_n,Y_n)_{n\geq 1}\) of identically distributed (not necessarily independent) bivariate r.v.s an asymptotic distribution \(M_{k:n}=\max(Y_{[n-k-1:n]},\dots,Y_{[n:n]})\) is studied (\(n\to\infty\)), where \(Y_{[r:n]}+\sum_{i=1}^n Y_i{\mathbf 1}\{X_{r:n}=X_i\}\) is the cocomitant of the \(r\)-th order statistics \(X_{r:n}\). It is shown
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The asymptotic theory of concomitants of order statistics

Journal of Applied Probability, 1974
In a random sample of n pairs (X r , Y r ), r = 1, 2, …, n, drawn from a bivariate normal distribution, let Xr :n be the rth order statistic among the Xr and let Y [r:n] be the ...
David, H. A., Galambos, Janos
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Concomitants of order statistics for dependent samples

Statistics & Probability Letters, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Ke, Nagaraja, H. N.
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Limit results for concomitants of order statistics

Metrika, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Balakrishnan, N., Stepanov, Alexei
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On a new sample rank of an order statistics and its concomitant

Statistics & Probability Letters, 2003
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Eryılmaz, S., Bairamov, I. G.
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Sarmanov Family of Bivariate Distributions: Statistical Properties—Concomitants of Order Statistics—Information Measures

Bulletin of the Malaysian Mathematical Sciences Society, 2022
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H. M. Barakat, M. A. Alawady, I. A. Husseiny, G. M. Mansour   +3 more
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Concomitants of Extreme Order Statistics

1994
Suppose the independent pairs of variates (Xi, Yi), i = l,…,n, are ordered by the Xi. Then the Y-variate paired with the r-th order statistic Xr:n is called the concomitant of Xr:n and denoted by Y[r:n]. This paper treats the asymptotic distribution theory of concomitants when r or n-r remains fixed as n→∞.
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