Open AccessParametric inference of Akash distribution for Type-Ⅱ censoring with analyzing of relief times of patients
Author(s) -
Tahani A. Abushal
Publication year - 2021
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2021627
Subject(s) - censoring (clinical trials) , mathematics , estimator , statistics , confidence interval , parametric statistics , monte carlo method , inference , bayesian probability , statistical inference , bayesian inference , frequentist inference , computer science , artificial intelligence
In this paper, the problem of estimating the parameter of Akash distribution applied when the lifetime of the product follow Type-Ⅱ censoring. The maximum likelihood estimators (MLE) are studied for estimating the unknown parameter and reliability characteristics. Approximate confidence interval for the parameter is derived under the s-normal approach to the asymptotic distribution of MLE. The Bayesian inference procedures have been developed under the usual error loss function through Lindley's technique and Metropolis-Hastings algorithm. The highest posterior density interval is developed by using Metropolis-Hastings algorithm. Finally, the performances of the different methods have been compared through a Monte Carlo simulation study. The application to set of real data is also analyzed using proposed methods.