On Progressive Type-II Censored Samples from Alpha Power Exponential Distribution

Abstract

In this paper the two-parameter α-power exponential distribution is studied. We study the two-parameter α-power exponential μ,λ distribution with the location parameter μ>0 and scale parameter λ>0 under progressive Type-II censored data with fixed shape parameter α. We estimate the maximum likelihood estimators of these unknown parameters numerically since it cannot be solved analytically. We use the approximate best linear unbiased estimators μ∗ and λ∗, as an initial guesses to obtain the MLEs μ^ and λ^. We estimate the interval estimation of these unknowns’ parameters. Monte Carlo simulations are performed and data examples have been provided for illustration and comparison.