23318

ESTIMATION AND OPTIMAL PLANS OF MULTIPLE RAMP-STRESS ACCELERATED LIFE TESTS FOR THE GENERALIZED HALF-NORMAL DISTRIBUTION

Article

Last updated: 03 Jan 2025

Subjects

-

Tags

-

Abstract

Accelerated life tests are commonly utilized in manufacturing industries to induce early failures of highly reliable
products. In this paper, estimation and optimal design issues of multiple ramp-stress accelerated life tests are discussed
for the generalized half-normal distribution. Assuming inverse power model as a life-stress relationship, the maximum
likelihood estimates of the parameters, as well as Fisher information matrix are derived. In addition, the methods of least
square, moments, Bayes are used for estimating the model parameters. The optimal proportion of test units allocated
to each stress level is obtained under D and A-optimality criteria. A sensitivity analysis of the optimal allocation to
misspeci cation of the model parameters is carried out. Furthermore, a real data set is used to show the application of
the generalized half-normal distribution in reliability studies. Finally, a Monte Carlo simulation study is carried out to
examine the performance of the estimation methods and the optimality criteria.

DOI

10.21608/JOMES.2018.2713.1029

Keywords

accelerated life testing, Optimal design, Fisher information matrix, generalized half-normal distribution, least square method, Bayes estimation, simulation study

Authors

First Name

A.

Last Name

Abd El-Raheem

MiddleName

-

Affiliation

Department of Mathematics, Faculty of Education, Ain Shams University, Cairo, Egypt

Email

-

City

-

Orcid

-

Volume

26

Article Issue

2

Related Issue

4360

Issue Date

2018-04-01

Receive Date

2018-03-18

Publish Date

2018-04-01

Page Start

347

Page End

364

Print ISSN

1110-256X

Online ISSN

2090-9128

Link

https://joems.journals.ekb.eg/article_23318.html

Detail API

https://joems.journals.ekb.eg/service?article_code=23318

Order

12

Type

Original Article

Type Code

485

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

ESTIMATION AND OPTIMAL PLANS OF MULTIPLE RAMP-STRESS ACCELERATED LIFE TESTS FOR THE GENERALIZED HALF-NORMAL DISTRIBUTION

Details

Type

Article

Created At

22 Jan 2023