RELIABILITY INVOLVING GENERALIZED GAMMA, GENERALIZED FOLDED LOGISTIC DISTRIBUTIONS AND FGM COPULA

Ronald T. Nojosa; Charandeep S. Sodhi; Pushpa N. Rathie

Ronald T. Nojosa Department of Statistics and Applied Mathematics, Federal University of Ceara, 60440-900, Fortaleza, BRAZIL

Charandeep S. Sodhi 11500 Lago Vista, Apt. 2439, Farmers Branch, Texas 75234, USA

Pushpa N. Rathie Senior Research Collaborator, Departament of Statistics, University of Brasilia, 70910-900 Brasilia, BRAZIL

Volume 8, Issue 2 Pages 17-28 June 30, 2021 289 downloads

Article overview

Abstract

This paper deals with reliability measure $P(Y<X)$ using FGM copula, when $X$ and $Y$ follow (a) Weibull and generalized gamma distributions, and (b) Rathie-Swamee generalized folded logistic distributions. The use of copula is better and widely employed than doing the classical joint distribution dependence. A few particular cases are also indicated.

Keywords and Phrases

Stress-strength reliability$P(Y<X)$FGM copulaFolded Rathie-SwameeGamma and Weibull distributions.

AMS Subject Classification

60E05, 62N05.

Reference information

How to Cite

Ronald T. Nojosa, Charandeep S. Sodhi, Pushpa N. Rathie (2021). RELIABILITY INVOLVING GENERALIZED GAMMA, GENERALIZED FOLDED LOGISTIC DISTRIBUTIONS AND FGM COPULA. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 8(2), 17-28.

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