Inference in Simple Step-Stress Accelerated Life Tests for Type-II Censoring Lomax Data
- https://doi.org/10.2991/jsta.d.210406.001How to use a DOI?
- 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
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.
- © 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 -