ON A NEW GENERALIZED LOGISTIC DISTRIBUTION

Print ISSN: 2319-1023 | Online ISSN: 2582-5461 | Total Downloads : 240

Volume : 9 , Issue : 1
DOI:
Author :
Prabhata K. Swamee (House No. 179, N. Block, South City 1, Gurugram 122001, Haryana, INDIA)
Pushpa N. Rathie (Department of Statistics, University of Brasilia, 70910-900 Brasília, BRAZIL)
Arthur Canotilho (Department of Statistics, University of Brasilia, 70910-900 Brasília, BRAZIL)
Guilherme S. Rodrigues (Department of Statistics, University of Brasilia, 70910-900 Brasília, BRAZIL)

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 distribution, H- function, Reliability $P(X

A.M.S. subject classification

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

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