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

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