A New Two-Parametric Maxwell-Rayleigh Distribution: Application to the Analysis of Engineering Data

Jallal, Muzamil and Ahmad, Aijaz and Tripathi, Rajnee (2021) A New Two-Parametric Maxwell-Rayleigh Distribution: Application to the Analysis of Engineering Data. Asian Journal of Probability and Statistics, 15 (2). pp. 75-89. ISSN 2582-0230

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Abstract

In this study a new generalisation of Rayleigh Distribution has been studied and referred it is as “A New Two-Parametric Maxwell-Rayleigh Distribution”. This distribution is obtained by adopting T-X family procedure. Several distributional properties of the formulated distribution including moments, moment generating function, Characteristics function and incomplete moments have been discussed. The expressions for ageing properties have been derived and discussed explicitly. The behaviour of the pdf and Hazard rate function has been illustrated through different graphs. The parameters are estimated through the technique of MLE. Eventually the versatility and the efficacy of the formulated distribution have been examined through real life data sets related to engineering science.

Item Type: Article
Subjects: STM Open Library > Mathematical Science
Depositing User: Unnamed user with email support@stmopenlibrary.com
Date Deposited: 13 Jan 2023 10:12
Last Modified: 22 May 2024 09:09
URI: http://ebooks.netkumar1.in/id/eprint/251

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