Statistical inferences for type-II hybrid censoring data from the alpha power exponential distribution

• Published in: PloS one 2021-01, Vol.16 (1), p.e0244316-e0244316
• Main Authors: Salah, Mukhtar M, Ahmed, Essam A, Alhussain, Ziyad A, Ahmed, Hanan Haj, El-Morshedy, M, Eliwa, M S
• Format: Article
• Language: English
• Subjects: Algorithms; Censoring (Statistics); Computer Simulation; Cost effectiveness; Electric power distribution; Engineering and Technology; Exact solutions; Experiments; Failure; Failure times; Gaussian distribution; Likelihood Functions; Mathematics; Methods; Nonlinear equations; Normal distribution; Parameter estimation; Physical sciences; Power; Probability distribution functions; Research and analysis methods; Simultaneous equations; Statistics; Testing time
• ISSN: 1932-6203; 1932-6203
• DOI: 10.1371/journal.pone.0244316

This paper describes a method for computing estimates for the location parameter μ > 0 and scale parameter λ > 0 with fixed shape parameter α of the alpha power exponential distribution (APED) under type-II hybrid censored (T-IIHC) samples. We compute the maximum likelihood estimations (MLEs) of (μ, λ) by applying the Newton-Raphson method (NRM) and expectation maximization algorithm (EMA). In addition, the estimate hazard functions and reliability are evaluated by applying the invariance property of MLEs. We calculate the Fisher information matrix (FIM) by applying the missing information rule, which is important in finding the asymptotic confidence interval. Finally, the different proposed estimation methods are compared in simulation studies. A simulation example and real data example are analyzed to illustrate our estimation methods.