Inferences for Alpha Power Exponential Distribution Using Adaptive Progressively Type-II Hybrid Censored Data with Applications

One of the most important asymmetrical probability distributions that recently presented as an extension conventional exponential distribution is alpha power distribution. It may be compared to various well-known models, such Weibull and gamma distributions. As a result, using adaptive progressive Type-II hybrid censoring scheme, this paper investigates estimation problems Maximum likelihood Bayesian methods are used estimate unknown parameters, reliability, hazard rate functions. Under assumption independent priors symmetric loss function, estimators examined. The credible intervals estimated confidence relevant values also calculated. estimating approaches evaluated simulation study considers sample sizes schemes. Furthermore, numerous optimality criteria examined, best schemes offered. Finally, for explanation, two real data sets from engineering chemical fields provided show applicability method parameters reliability indices recommended based on numerical results, especially when number observed small.