Estimation of Parameters of the GIE Distribution Under Progressive Type-I Censoring

Autor: Mahmoud R. Mahmoud, Hiba Z. Muhammed, Ahmed R. El-Saeed, Ashraf D. Abdellatif
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Journal of Statistical Theory and Applications (JSTA), Vol 20, Iss 2 (2021)
Druh dokumentu: article
ISSN: 2214-1766
DOI: 10.2991/jsta.d.210510.001
Popis: In this paper, we consider generalized inverted exponential distribution which is capable of modeling various shapes of failure rates and aging processes. Based on progressive Type-I censored data, we consider the problem of estimation of parameters under classical and Bayesian approaches. In this regard, we obtain maximum likelihood estimates and Bayes estimates under squared error loss function. We also compute a 95% asymptotic confidence interval, bootstrap confidence intervals and highest posterior density (HPD) credible interval estimates. Finally, we analyze a real data set and conduct a Monte Carlo simulation study to compare the performance of the various proposed estimators.
Databáze: Directory of Open Access Journals