A New Two-Parametric Maxwell-Rayleigh Distribution: Application to the Analysis of Engineering Data
Muzamil Jallal
Department of Mathematics, Bhagwant University, Ajmer, India.
Aijaz Ahmad *
Department of Mathematics, Bhagwant University, Ajmer, India.
Rajnee Tripathi
Department of Mathematics, Bhagwant University, Ajmer, India.
*Author to whom correspondence should be addressed.
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.
Keywords: Maxwell distribution, Rayleigh distribution, Renyi entropy, maximum likelihood estimation, order statistics