STRESS-STRENGTH RELIABILITY MODELS INVOLVING H-FUNCTION DISTRIBUTIONS

Print ISSN: 2319-1023 | Online ISSN: 2582-5461 | Total Downloads : 166

Volume : 9 , Issue : 2
DOI:
Author :
Pushpa N. Rathie (Department of Statistics, University of Brasilia, 70910-900, Brasilia, BRAZIL)
Silvia M. de Freitas (Department of Statistics and Applied Mathematics, Federal University of Ceara, 60440-900, Fortaleza, BRAZIL)
Ronald T. Nojosa (Department of Statistics and Applied Mathematics, Federal University of Ceara, 60440-900, Fortaleza, BRAZIL)
Amanda M. F. Mendes (State University of Campinas, Campinas, BRAZIL)
Thaina S. Silva (University of Sao Paulo, Sao Paulo, BRAZIL)

Abstract

This paper deals with four theorems for the stress-strength reliability measure $R=P(Y<X)$, when $X$ and $Y$ are independent H-function random variables with different parameters. Several new particular cases of the general results are given along with known results in the literature. For ready reference, the results are given in tabular form.

Keywords and Phrases

Stress-strength reliability, $P(X

A.M.S. subject classification

60E05, 62N05.

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