Journal of Statistical Theory and Applications

Volume 20, Issue 2, June 2021, Pages 364 - 379

Inference in Simple Step-Stress Accelerated Life Tests for Type-II Censoring Lomax Data

Authors
Mohammad A. Amleh, Mohammad Z. Raqab*, ORCID
Department of Mathematics, The University of Jordan, Amman, 11942, JORDAN
*Corresponding author. Email: mraqab@ju.edu.jo
Corresponding Author
Mohammad Z. Raqab
Received 30 November 2020, Accepted 4 March 2021, Available Online 12 April 2021.
DOI
https://doi.org/10.2991/jsta.d.210406.001How to use a DOI?
Keywords
Confidence and prediction intervals, Conditional median predictor, Cumulative exposure model, Highest conditional density, Lomax distribution, Maximum likelihood estimation, Maximum likelihood prediction, Pivot quantity, Step-stress accelerated life test
Abstract

In this paper, step-stress accelerated life test is considered to obtain the failure time data of highly reliable units in specified conditions. It is assumed that the lifetime data of such units follow Lomax distribution with a scale parameter depends on the stress level and the shape parameter remains constant. It is also assumed that failure times occur according to a cumulative exposure model (CEM). Using this model, the maximum likelihood estimators (MLEs) and the respective confidence intervals (CIs) based on the asymptotic normality theory as well as the ones based on parametric bootstrap method are considered. In the context of prediction, point and interval predictions are also addressed. A simulation study has been performed to assess the estimation and prediction methods and a real dataset is analyzed for illustrative purposes.

Copyright
© 2021 The Authors. Published by Atlantis Press B.V.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Download article (PDF)
View full text (HTML)

Journal
Journal of Statistical Theory and Applications
Volume-Issue
20 - 2
Pages
364 - 379
Publication Date
2021/04/12
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
https://doi.org/10.2991/jsta.d.210406.001How to use a DOI?
Copyright
© 2021 The Authors. Published by Atlantis Press B.V.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Mohammad A. Amleh
AU  - Mohammad Z. Raqab
PY  - 2021
DA  - 2021/04/12
TI  - Inference in Simple Step-Stress Accelerated Life Tests for Type-II Censoring Lomax Data
JO  - Journal of Statistical Theory and Applications
SP  - 364
EP  - 379
VL  - 20
IS  - 2
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.d.210406.001
DO  - https://doi.org/10.2991/jsta.d.210406.001
ID  - Amleh2021
ER  -