Progressive Type-II Censoring Schemes of Extended Odd Weibull Exponential Distribution with Applications in Medicine and Engineering

R. Alshenawy, Ali Al-Alwan, Ehab M. Almetwally, Ahmed Z. Afify and Hisham M. Almongy
Additional contact information
R. Alshenawy: Department of Mathematics and Statistics, College of Science, King Faisal University P.O. Box 400, Al-Ahsa 31982, Saudi Arabia
Ali Al-Alwan: Department of Mathematics and Statistics, College of Science, King Faisal University P.O. Box 400, Al-Ahsa 31982, Saudi Arabia
Ehab M. Almetwally: Department of Statistics, Faculty of Business Administration, Delta University of Science and Technology, El-Mansoura 11152, Egypt
Ahmed Z. Afify: Department of Statistics, Mathematics and Insurance, Benha University, Benha 13511, Egypt
Hisham M. Almongy: Department of Statistics, Faculty of Commerce Mansoura University, El-Mansoura 35516, Egypt

Mathematics, 2020, vol. 8, issue 10, 1-19

Abstract: In this paper, the parameters of the extended odd Weibull exponential distribution are estimated under progressive type-II censoring scheme with random removal. The model parameters are estimated using the maximum product spacing and maximum likelihood estimation methods. Further, we explore the asymptotic confidence intervals and bootstrap confidence intervals for the model parameters. Monte Carlo simulations are performed to compare between the proposed estimation methods under progressive type-II censoring scheme. An empirical study using two real datasets form engineering and medicine fields to validate the introduced methods of inference. Based on our study, we can conclude that the maximum product of spacing method outperforms the maximum likelihood method for estimating the extended odd Weibull exponential (EOWE) parameters under a progressive type-II censoring scheme in both numerical and empirical cases.

Keywords: exponential distribution; progressive type-II censoring; maximum likelihood estimation; maximum product spacing; bootstrap confidence intervals (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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