We investigate the statistical inferences and applications of the half exponential power distribution for the first time. The proposed\r\nmodel defined on the nonnegative reals extends the half normal distribution and is more flexible. The characterizations and\r\nproperties involving moments and some measures based on moments of this distribution are derived.The inference aspects using\r\nmethods of moment and maximum likelihood are presented. We also study the performance of the estimators using the Monte\r\nCarlo simulation. Finally, we illustrate it with two real applications.
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