On renewal increasing mean residual life distributions: An age replacement model with hypothesis testing application

Mohammad B. Sepehrifar, Kavoos Khorshidian and Ahmad R. Jamshidian

Statistics & Probability Letters, 2015, vol. 96, issue C, 117-122

Abstract: We study the life distribution of an operating device through the notion of mean residual life. The device is experiencing a random number of shocks governed by a homogeneous Poisson process, and a new U-statistic test procedure is introduced to test the hypothesis of that the life is exponentially distributed against the alternative that the life distribution is the life distribution has renewal increasing mean residual property.

Keywords: Poisson Shock model; Increasing mean residual life (IMRL); Exponential distribution; Moment inequalities; Estimates of power function (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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DOI: 10.1016/j.spl.2014.09.009

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