Inference for the Exponential Distribution under Generalized Progressively Hybrid Censored Data from Partially Accelerated Life Tests with a Time Transformation Function

Alaa H. Abdel-Hamid and Atef F. Hashem
Additional contact information
Alaa H. Abdel-Hamid: Mathematics and Computer Science Department, Faculty of Science, Beni-Suef University, 62521 Beni-Suef, Egypt
Atef F. Hashem: Mathematics and Computer Science Department, Faculty of Science, Beni-Suef University, 62521 Beni-Suef, Egypt

Mathematics, 2021, vol. 9, issue 13, 1-28

Abstract: In this article, the tampered failure rate model is used in partially accelerated life testing. A non-decreasing time function, often called a ‘ ‘ time transformation function", is proposed to tamper the failure rate under design conditions. Different types of the proposed function, which have sufficient conditions in order to be accelerating functions, are investigated. A baseline failure rate of the exponential distribution is considered. Some point estimation methods, as well as approximate confidence intervals, for the parameters involved are discussed based on generalized progressively hybrid censored data. The determination of the optimal stress change time is discussed under two different criteria of optimality. A real dataset is employed to explain the theoretical outcomes discussed in this article. Finally, a Monte Carlo simulation study is carried out to examine the performance of the estimation methods and the optimality criteria.

Keywords: partially accelerated life tests; generalized progressively hybrid censoring; maximum likelihood and percentile estimations; simulation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://www.mdpi.com/2227-7390/9/13/1510/pdf (application/pdf)
https://www.mdpi.com/2227-7390/9/13/1510/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:9:y:2021:i:13:p:1510-:d:583897

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().