Title: A study on step stress partially accelerated life test under adaptive type-II progressive hybrid censoring for inverse Lomax distribution

Authors: Intekhab Alam; Mustafa Kamal; Ahmadur Rahman; Nayabuddin

Addresses: School of Engineering & Technology, Maharishi University of Information Technology, Noida, Uttar Pradesh, India ' Department of Basic Sciences, College of Science and Theoretical Studies, Saudi Electronic University, Dammam, Saudi Arabia ' Department of Statistics & Operations Research, Aligarh Muslim University, Aligarh, Uttar Pradesh, India ' Department of Epidemiology, Faculty of Public Health and Tropical Medicine, Saudi Arabia

Abstract: Using traditional life tests in testing and reliability theory may result in extremely few failures by the completion of the experiment, leading to poorer estimations. To get the required failure as rapidly as possible for better estimation, products are exposed to higher stress levels, and this process is known as accelerated life testing. This paper develops a step stress partially accelerated life test that employs adaptive type-II progressive hybrid censoring scheme and assumes that the lifespan of test items follows a two-parameter inverted Lomax distribution. The likelihood and log-likelihood functions were created for adaptive type-II progressive hybrid censoring scheme data in order to get the point and interval of the model parameters using the maximum-likelihood estimation approach. Furthermore, using a Monte Carlo simulation analysis, the biases and mean square errors of the maximum-likelihood estimators are estimated to examine their performances in the presence of censoring introduced in this work.

Keywords: partially accelerated life test; inverse Lomax distribution; Newton Raphson; adaptive type-II progressive hybrid censoring; simulation study.

DOI: 10.1504/IJRS.2024.139194

International Journal of Reliability and Safety, 2024 Vol.18 No.1, pp.1 - 18

Received: 02 Apr 2022
Received in revised form: 24 May 2022
Accepted: 17 Jun 2022
Published online: 25 Jun 2024 *

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