Step Stress Partially Accelerated Life Tests and Estimating Costs of Maintenance Service Policy for the Power Function Distribution under Progressive Type-II Censoring

Authors

Intekhab Alam, Department of Statistics and Operations Research, Aligarh Muslim University, Aligarh, IndiaFollow
Arif Ul Islam
Aquil Ahmed

Author Country (or Countries)

India

Abstract

The present paper illustrates how to analyze and design the accelerated life testing (ALTg) plans for the improvement of the quality and reliability of the product. We focus on estimating the costs of maintenance service policy because it plays a very important role in manufacturing organization and providing cost-effective equipment and maintenance.. When the lifetime of units follows power function distribution, the partially step-stress accelerated life test is assumed. The maximum likelihood estimates (MLEs) are obtained under the progressive Type-II censoring. Using the Fisher Information matrix, the asymptotic variance and covariance matrix are obtained. The confidence intervals (CIs) of the estimators are also constructed. Furthermor, a simulation study is conducted to check the results accuracy.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/jsap/090209

Recommended Citation

Alam, Intekhab; Ul Islam, Arif; and Ahmed, Aquil (2020) "Step Stress Partially Accelerated Life Tests and Estimating Costs of Maintenance Service Policy for the Power Function Distribution under Progressive Type-II Censoring," Journal of Statistics Applications & Probability: Vol. 9: Iss. 2, Article 9.
DOI: http://dx.doi.org/10.18576/jsap/090209
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol9/iss2/9