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Home Volume 9, Issue 1 Article
Research Article

ON A NEW GENERALIZED LOGISTIC DISTRIBUTION

P
Prabhata K. Swamee House No. 179, N. Block, South City 1, Gurugram 122001, Haryana, INDIA
P
Pushpa N. Rathie Department of Statistics, University of Brasilia, 70910-900 Brasília, BRAZIL
A
Arthur Canotilho Department of Statistics, University of Brasilia, 70910-900 Brasília, BRAZIL
G
Guilherme S. Rodrigues Department of Statistics, University of Brasilia, 70910-900 Brasília, BRAZIL
Volume 9, Issue 1 Pages 99-114 December 30, 2021 370 downloads
Article overview

Abstract

A new statistical distribution, which was talked about between Swamee and Rathie in 2020, is given in this paper along with several statistical properties, such as approximations, inversion result, moments, order statistics, and hazard rate function. In addition, new distributions such as Marshall-Olkin-Swamee-Rathie, generalized gamma and beta generated and Swamee-Rathie skew distributions are also obtained. Approximations to mathematical and statistical distributions are indicated. Reliability probability $P(X<Y)$, for $X$ and $Y$ independent Swamee-Rathie distributions, is derived.

Keywords and Phrases

Swamee-Rathie distributionH- functionReliability $P(X<Y)$.

AMS Subject Classification

60E05, 62E17, 62N05, 33C99.

Reference information

How to Cite

Prabhata K. Swamee, Pushpa N. Rathie, Arthur Canotilho, Guilherme S. Rodrigues (2021). ON A NEW GENERALIZED LOGISTIC DISTRIBUTION. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 9(1), 99-114.
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