Optimal Step Stress Accelerated Life Testing for the Length-Biased Exponential Cumulative Exposure Model

Çağatay ÇETİNKAYA

Article Details

Optimal Step Stress Accelerated Life Testing for the Length-Biased Exponential Cumulative Exposure Model

Authors:

Çağatay ÇETİNKAYA

Publisher:

Başbakanlık

Main Topics:

Mathematics

Journal:

Istatistik Journal of The Turkish Statistical Association 2021 Vol.13 Issue 1, pp.1-11

Document Type:

Article

Publication Date:

1/2021

Document Language:

English

Document ID (Org No.):

2000709886

Frequency:

Bi-Annual

pISSN:

1300-4077

Abstract:

 

This paper considers a simple step stress accelerated life test for units modeled by a length-biased exponential distribution. The cumulative exposure model of time to failure holds in this accelerated life test model. The optimal test plan is constructed by determining the optimal stress change time. Parameters of the model are estimated by using the maximum likelihood estimation method. The corresponding approximate confidence intervals are obtained by using the asymptotic normality features of the maximum likelihood estimators. Theoretical outcomes are illustrated with simulation studies and a real data example.

Article Details

Optimal Step Stress Accelerated Life Testing for the Length-Biased Exponential Cumulative Exposure Model

Authors: Çağatay ÇETİNKAYA

Publisher: Başbakanlık

Main Topics: Mathematics

Journal: Istatistik Journal of The Turkish Statistical Association 2021 Vol.13 Issue 1, pp.1-11

Document Type: Article

Publication Date: 1/2021

Document Language: English

Document ID (Org No.): 2000709886

Frequency: Bi-Annual

pISSN: 1300-4077

Issues

Authors:

Çağatay ÇETİNKAYA

Publisher:

Başbakanlık

Main Topics:

Mathematics

Journal:

Istatistik Journal of The Turkish Statistical Association 2021 Vol.13 Issue 1, pp.1-11

Document Type:

Article

Publication Date:

1/2021

Document Language:

English

Document ID (Org No.):

2000709886

Frequency:

Bi-Annual

pISSN:

1300-4077