Progressively Type-II censored conditionally N-ordered statistics from a unified elliptically contoured copula

Mohsen Rezapour

Communications in Statistics - Theory and Methods, 2017, vol. 46, issue 11, 5595-5611

Abstract: Progressively Type-II censored conditionally N-ordered statistics (PCCOS-N) arising from iid random vectors Xi = (X1i, X2i, …, Xip), i = 1, 2…, n, were investigated by Bairamov (2006), with respect to the magnitudes of N(Xi), i = 1, 2, …, n, where N( · ) is a p-variate measurable function defined on the support set of X1 satisfying certain regularity conditions and N(Xi) denotes the lifetime of the random vector Xi, i = 1, …, n. Under the PCCOS-N sampling scheme, n independent units are placed on a life-test and after the ith failure, Ri (i = 1, …, m) of the surviving units are removed at random from the remaining observations. In this article, we consider PCCOS-N arising from a vector with identical as well as non identical dependent components, jointly distributed according to a unified elliptically contoured copula (PCCOSDUECC-N). Results established here contain the previous results as particular cases. Illustrative examples and simulation studies show that PCCOSDUECC-N enables us to analyze the lifetime of several systems, including repairable systems and systems with standby components, more efficiently than PCCOS-N.

Date: 2017
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DOI: 10.1080/03610926.2015.1107584

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