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Abstract
This paper addresses the estimation of the unknown parameters of the alpha
power exponential distribution (Mahdavi and Kundu, 2017) using nine frequentist estimation methods. We discuss the nite sample properties of the parameter
estimates of the alpha power exponential distribution via Monte Carlo simulations. The potentiality of the distribution is analyzed by means of two real data
sets from the elds of engineering and medicine. Finally, we use the maximum
likelihood method to derive the estimates of the distribution parameters under
competing risks data and analyze one real data set.
Keywords
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