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In this article, we proposed a new probability distribution named as powerMaxwell distribution (PMaD). It is another extension of Maxwell distribution(MaD) which would lead more flexibility to analyze the data with non-monotonefailure rate. Different statistical properties such as reliabilitycharacteristics, moments, quantiles, mean deviation, generating function,conditional moments, stochastic ordering, residual lifetime function andvarious entropy measures have been derived. The estimation of the parametersfor the proposed probability distribution has been addressed by maximumlikelihood estimation method and Bayes estimation method. The Bayes estimatesare obtained under gamma prior using squared error loss function. Lastly,real-life application for the proposed distribution has been illustratedthrough different lifetime data.

Power Maxwell distribution: Statistical Properties, Estimation and Application