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Concomitants of Order Statistics from Gumbel's Bivariate Weibull Distribution
Calcutta Statistical Association Bulletin, 1997The probability density function (pdf) of the rth, 1 ≤ r ≤ n and joint pdf of the rth and sth, 1 ≤ r < s ≤ n, concomitants of ordered statistics are derived for Gumbel's bivariate Weibull distribution and their single moments are obtained. Also their means and variances are tabulated.
Begum, Anjuman A., Khan, A. H.
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The asymptotic theory of concomitants of order statistics
Journal of Applied Probability, 1974In 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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Nonparametric Estimation of Bivariate Distribution using Concomitants of Order Statistics
Journal of Statistical Theory and Practice, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sankaran, P. G. +2 more
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Concomitants of order statistics from multivariate elliptical distributions
Journal of Statistical Planning and Inference, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jamalizadeh, Ahad, Balakrishnan, N.
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A Note on Extremes of Concomitants of Order Statistics
Extremes, 2000For 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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A Pseudo-Pareto Distribution and Concomitants of Its Order Statistics
Methodology and Computing in Applied Probability, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gebizlioglu, Omer L., Yorubulut, Serap
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Bulletin of the Iranian Mathematical Society, 2021
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Mohamed Ahmed Abd Elgawad +2 more
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Mohamed Ahmed Abd Elgawad +2 more
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On an application of concomitants of order statistics
Communications in Statistics - Theory and Methods, 2016ABSTRACTLet (Xi, Yi), i = 1, …, n be a pair where the first coordinate Xi represents the lifetime of a component, and the second coordinate Yi denotes the utility of the component during its lifetime. Then the random variable Y[r: n] which is known to be the concomitant of the rth order statistic defines the utility of the component which has the rth ...
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Distribution of order statistics from selected subsets of concomitants
Journal of Statistical Planning and Inference, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Ke, Nagaraja, H. N.
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Concomitants of multivariate order statistics from multivariate elliptical distributions
Communications in Statistics - Theory and Methods, 2016ABSTRACTIn this article, we consider a (k + 1)n-dimensional elliptically contoured random vector (XT1, X2T, …, XTk, ZT)T = (X11, …, X1n, …, Xk1, …, Xkn, Z1, …, Zn)T and derive the distribution of concomitant of multivariate order statistics arising from X1, X2, …, Xk.
Roohollah Roozegar +2 more
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