Joint distribution of new sample rank of bivariate order statistics

Gulder Kemalbay and Ismihan Bayramoglu (Bairamov)

Journal of Applied Statistics, 2015, vol. 42, issue 10, 2280-2289

Abstract: Let , be independent copies of bivariate random vector with joint cumulative distribution function and probability density function . For , the vector of order statistics of and , respectively, is denoted by . Let , , be a new sample from , which is independent from . Let be the rank of order statistics in a new sample and be the rank of order statistics in a new sample . We derive the joint distribution of discrete random vector and a general scheme wherein the distributions of new and old samples are different is considered. Numerical examples for given well-known distribution are also provided.

Date: 2015
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DOI: 10.1080/02664763.2015.1023705

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