Open AccessA New Two-Parametric Maxwell-Rayleigh Distribution: Application to the Analysis of Engineering Data
Author(s) -
Muzamil Jallal,
Adeel Ahmad,
Rajnee Tripathi
Publication year - 2021
Publication title -
asian journal of probability and statistics
Language(s) - English
Resource type - Journals
ISSN - 2582-0230
DOI - 10.9734/ajpas/2021/v15i230352
Subject(s) - rayleigh distribution , parametric statistics , distribution (mathematics) , moment (physics) , rayleigh scattering , method of moments (probability theory) , mathematics , function (biology) , distribution function , hazard , probability density function , statistical physics , computer science , mathematical analysis , statistics , physics , classical mechanics , thermodynamics , chemistry , organic chemistry , estimator , evolutionary biology , optics , biology
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.