  In this article, we proposed a new probability distribution named as power
Maxwell distribution (PMaD). It is another extension of Maxwell distribution
(MaD) which would lead more flexibility to analyze the data with non-monotone
failure rate. Different statistical properties such as reliability
characteristics, moments, quantiles, mean deviation, generating function,
conditional moments, stochastic ordering, residual lifetime function and
various entropy measures have been derived. The estimation of the parameters
for the proposed probability distribution has been addressed by maximum
likelihood estimation method and Bayes estimation method. The Bayes estimates
are obtained under gamma prior using squared error loss function. Lastly,
real-life application for the proposed distribution has been illustrated
through different lifetime data.
