Marshall–Olkin Morgenstern–Weibull distribution: generalisations and applications

Jose Kanichukattu () and Sebastian Rani
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Sebastian Rani: Department of Statistics, K. E. College, Mannanam P.O, Kottayam, Kerala 686561

Stochastics and Quality Control, 2013, vol. 28, issue 2, 105-116

Abstract: In this paper a new bivariate distribution called Marshall–Olkin–Morgenstern-bivariate-Weibull distribution is introduced and studied. Two different models of minification processes with the above bivariate distribution as stationary marginal distribution are developed. It is shown that the process is strictly stationary. The properties of the process are derived. The expressions for reliability under stress-strength analysis when the components are in series and parallel are obtained. The process is extended to pth order as well as k-variate cases.

Keywords: Minification Process; Marshall–Olkin–Bivariate-Weibull Distribution; Stationary Process; Stress-Strength Analysis; Reliability; Minification Process; Marshall–Olkin–Bivariate-Weibull Distribution; Stationary Process; Stress-Strength Analysis; Reliability (search for similar items in EconPapers)
Date: 2013
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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DOI: 10.1515/eqc-2013-0018

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