Asymptotic properties of bivariate random extremes

DOI10.1016/S0378-3758(96)00157-7zbMath0872.62019MaRDI QIDQ1362174

H. M. Barakat

Publication date: 3 August 1997

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

zbMATH Keywords

weak convergencerandom sample sizedomains of attractionbivariate extremes order statisticslimit distribution functions

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Order statistics; empirical distribution functions (62G30)

Related Items (16)

On the confidence region for the bivariate co-ordinate-wise quantiles of the continuous bivariate distribution functions ⋮ Limit theory of bivariate dual generalized order statistics with random index ⋮ Computing the Distribution and Expected Value of the Concomitant Rank-Order Statistics ⋮ A note on the convergence of trivariate extreme order statistics and extension ⋮ Limit theory of generalized order statistics ⋮ Limit theorems for univariate and bivariate order statistics with variable ranks ⋮ On the trivariate extreme value distributions ⋮ Asymptotic behavior of the records of multivariate random sequences in a norm sense ⋮ On tail behaviour ofkth upper order statistics under fixed and random sample sizes via tail equivalence ⋮ On multivariate order statistics. Application to ranked set sampling ⋮ On the computing of the moments of bivariate order statistics ⋮ Asymptotic properties of multivariate order statistics with random index ⋮ Limit theory of bivariate generalized order statistics with random sample size ⋮ Asymptotic behavior of the maximum of multivariate order statistics in a norm sense ⋮ A family of waiting time distributions arising from a bivariate Bernoulli scheme ⋮ A General Recurrence Relation for the Moments of Bivariate and Trivariate Order Statistics

Cites Work

• Limit theorems for lower-upper extreme values from two-dimensional distribution function
• Domains of attraction of multivariate extreme value distributions
• On the limit distribution of the extremes of a random number of independent random variables
• Order Statistics of Samples from Multivariate Distributions
• The distribution of the maximum of a random number of random variables with applications
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