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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Concomitants of Extreme Order Statistics
1994Suppose 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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Concomitants of Order Statistics from Marshall and Olkin's Bivariate Weibull Distribution
Calcutta Statistical Association Bulletin, 2000The probability density function (pdf) of the rth, 1 ≤ r ≤ n, concomitants of ordered statistics are derived for Marshall and Olkin's bivariate Weibull distribution and their moments are obtained. Also their means and variances are tabulated. AMS (2000) Subject Classification: 62E15, 62G30.
Begum, Anjuman A., Khan, A. H.
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Distribution of extremal order statistics from large subsets of concomitants
Statistics & Probability Letters, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Ke, Nagaraja, H. N.
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Concomitants of Multivariate Order Statistics With Application to Judgment Poststratification
Journal of the American Statistical Association, 2006We generalize the definition of a concomitant of an order statistic in the multivariate case, develop general expressions for its density, and establish related properties. We study the concomitant of a normal random vector in detail and discuss methods for calculating its moments.
Wang, Xinlei +3 more
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Characterizations of bivariate distributions by properties of concomitants of order statistics
Statistics & Probability Letters, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Veena, T. G., Thomas, P. Yageen
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On a new sample rank of an order statistics and its concomitant
Statistics & Probability Letters, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eryılmaz, S., Bairamov, I. G.
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Properties on Concomitants of Generalized Order Statistics from a Bivariate Rayleigh Distribution
Bulletin of the Malaysian Mathematical Sciences Society, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tahmasebi, S. +2 more
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Nonparametric Regression Based on the Concomitants of Order Statistics.
1979Abstract : The properties of nonparametric regression function estimates based on the concomitants of order statistics are investigated.
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Cancer treatment and survivorship statistics, 2022
Ca-A Cancer Journal for Clinicians, 2022Kimberly D Miller +2 more
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