LIKELIHOOD AND BAYESIAN INFERENCE OF THE STRESS-STRENGTH RELIABILITY BASED ON RECORD VALUES FROM PROPORTIONAL AND PROPORTIONAL REVERSED HAZARD RATE MODELS

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SANJARI FARSIPOUR NAHID; RIYAHI HAJAR

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Journal: JOURNAL OF STATISTICAL SCIENCES Year:2014 | Volume:7 | Issue:2 Page(s): 207-232

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Information Journal Paper

Title

LIKELIHOOD AND BAYESIAN INFERENCE OF THE STRESS-STRENGTH RELIABILITY BASED ON RECORD VALUES FROM PROPORTIONAL AND PROPORTIONAL REVERSED HAZARD RATE MODELS

Author(s)

SANJARI FARSIPOUR NAHID | RIYAHI HAJAR | Issue Writer Certificate

Keywords

PROPORTIONAL HAZARD RATE MODELQ2

PROPORTIONAL REVERSED HAZARD RATE MODELQ2

RECORD VALUESQ2

STRESSQ2

STRENGTH MODELQ2

BOOTSTRAP INTERVALQ2

Abstract

In this paper the likelihood and Bayesian inference of the STRESS-strength reliability are considered based on RECORD VALUES from proportional and PROPORTIONAL REVERSED HAZARD RATE MODELs. Then inference of the STRESS-strength reliability based on lower RECORD VALUES from some generalized distributions are also considered. Next the likelihood and Bayesian inference of the STRESS-strength model based on upper RECORD VALUES from Gompertz, Burr type XII, Lomax and Weibull distributions are considered. The ML estimators and their properties are studied. Likelihood-based confidence intervals, exact, as well as the Bayesian credible sets and BOOTSTRAP INTERVAL for the STRESS-strength reliability in all distributions are obtained. Simulation studies are conducted to investigate and compare the performance of the intervals.

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