Distributional Results for Dependent Type-II Hybrid Censored Order Statistics

Abbas Pak, Hamid Dashti

Abstract


The scheme of type-II hybrid censoring is of great value in life-testing experiments. In the literature, type-II hybrid censored order statistics are assumed to arise from independent random variables. However, in real lifetime systems, it is quite common for the components to be dependent. In this paper, we study the properties of type-II hybrid censored order statistics in the case when the units are statistically dependent. Density, distribution and joint density functions of dependent type-II hybrid censored order statistics are derived under this set-up. For certain special cases, more explicit expressions are presented. Illustrative examples are also provided.

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DOI: http://dx.doi.org/10.18187/pjsor.v13i1.1462

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Title

Distributional Results for Dependent Type-II Hybrid Censored Order Statistics

Keywords


Description

The scheme of type-II hybrid censoring is of great value in life-testing experiments. In the literature, type-II hybrid censored order statistics are assumed to arise from independent random variables. However, in real lifetime systems, it is quite common for the components to be dependent. In this paper, we study the properties of type-II hybrid censored order statistics in the case when the units are statistically dependent. Density, distribution and joint density functions of dependent type-II hybrid censored order statistics are derived under this set-up. For certain special cases, more explicit expressions are presented. Illustrative examples are also provided.

Date

2017-03-01

Identifier


Source

Pakistan Journal of Statistics and Operation Research; Vol. 13 No. 1, 2017



Print ISSN: 1816-2711 | Electronic ISSN: 2220-5810