A NON-PARAMETRIC TEST AGAINST RENEWAL INCREASING MEAN RESIDUAL LIFE DISTRIBUTIONS

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Jamshidian A.R.

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Seminar Paper

Paper Information

Seminar: SEMINAR ON RELIABILITY THEORY AND ITS APPLICATIONS
Year:2015 | Issue:1

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Title

A NON-PARAMETRIC TEST AGAINST RENEWAL INCREASING MEAN RESIDUAL LIFE DISTRIBUTIONS

Author(s)

Jamshidian A.R.

Keywords

POISSON SHOCK MODEL

INCREASING MEAN RESIDUAL LIFE

EXPONENTIAL DISTRI- BUTION

MOMENT INEQUALITIES

U-STATISTICS

Abstract

IN THIS PAPER WE INTRODUCE A NEW AGING CLASS OF LIFE DISTRIBUTIONS WHEN A DEVICE IS OPERATING IN A REALISTIC ENVIRONMENT. WE STUDY THE BEHAVIOR OF SUCH LIFE DISTRIBUTIONS THROUGH THE MEAN RESIDUAL LIFE NOTION, WHEN A DEVICE IS EXPERIENCING NUMBER OF SHOCKS. DUE TO THESE SHOCKS THE LIFETIME OF SUCH DEVICE HAS BECOME SHORTENED OR PROLONGED. THESE TEMPERED EVENTS ARE GOVERNED BY A HOMOGENOUS POISSON PROCESS. A MOMENT INEQUALITY WHICH CHARACTERIZES THIS NEW AGING CLASS, NAMELY RENEWAL INCREASING MEAN RESIDUAL LIFE, IS DERIVED. WE PROPOSE A NEW U-STATISTIC TEST PROCEDURE TO ADDRESS THE PROBLEM OF TESTING EXPONENTIALITY AGAINST SUCH CLASS OF LIFE DISTRIBUTIONS. IT IS SHOWN THAT THE PROPOSED TEST ENJOYS A SUPERIOR POWER FOR SOME COMMONLY USED ALTERNATIVE.

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APA: Copy

Jamshidian, A.R.. (2015). A NON-PARAMETRIC TEST AGAINST RENEWAL INCREASING MEAN RESIDUAL LIFE DISTRIBUTIONS. SEMINAR ON RELIABILITY THEORY AND ITS APPLICATIONS. SID. https://sid.ir/paper/926766/en

Vancouver: Copy

Jamshidian A.R.. A NON-PARAMETRIC TEST AGAINST RENEWAL INCREASING MEAN RESIDUAL LIFE DISTRIBUTIONS. 2015. Available from: https://sid.ir/paper/926766/en

IEEE: Copy

A.R. Jamshidian, “A NON-PARAMETRIC TEST AGAINST RENEWAL INCREASING MEAN RESIDUAL LIFE DISTRIBUTIONS,” presented at the SEMINAR ON RELIABILITY THEORY AND ITS APPLICATIONS. 2015, [Online]. Available: https://sid.ir/paper/926766/en

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