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

In this paper the two-parameter alpha-power exponential distribution is studied. We study the two-parameter alpha-power exponential mu,lambda distribution with the location parameter mu > 0 and scale parameter lambda > 0 under progressive Type-II censored data with fixed shape parameter alpha. 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 mu* and lambda*, as an initial guesses to obtain the MLEs (mu) over cap and (lambda) over cap. We estimate the interval estimation of these unknowns' parameters. Monte Carlo simulations are performed and data examples have been provided for illustration and comparison.