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RSMAMS JRSMAMS Journal of Ramanujan Society of Mathematics and Mathematical Sciences
Home Volume 9, Issue 2 Article
Research Article

STRESS-STRENGTH RELIABILITY MODELS INVOLVING H-FUNCTION DISTRIBUTIONS

P
Pushpa N. Rathie Department of Statistics, University of Brasilia, 70910-900, Brasilia, BRAZIL
S
Silvia M. de Freitas Department of Statistics and Applied Mathematics, Federal University of Ceara, 60440-900, Fortaleza, BRAZIL
R
Ronald T. Nojosa Department of Statistics and Applied Mathematics, Federal University of Ceara, 60440-900, Fortaleza, BRAZIL
A
Amanda M. F. Mendes State University of Campinas, Campinas, BRAZIL
T
Thaina S. Silva University of Sao Paulo, Sao Paulo, BRAZIL
Volume 9, Issue 2 Pages 217-234 June 30, 2022 416 downloads
Article overview

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$P(X<Y)$ and H-function.

AMS Subject Classification

60E05, 62N05.

Reference information

How to Cite

Pushpa N. Rathie, Silvia M. de Freitas, Ronald T. Nojosa, Amanda M. F. Mendes, Thaina S. Silva (2022). STRESS-STRENGTH RELIABILITY MODELS INVOLVING H-FUNCTION DISTRIBUTIONS. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 9(2), 217-234.
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