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Competing Risk Analysis in Constant Stress Partially Accelerated Life Tests Under Censored Information

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Abstract

A constant-stress partially accelerated life test (CSPALT) is the most widespread type where each examination unit is subjected to only one chosen stress level until its failure or the termination of the experiment, whichever occurs first. This paper presents the CSPALT with Type-I and -II censoring schemes in the occurrence of competing failure causes when the lifetime of test units follows the two-parameter Fréchet distribution. The lifetime of test units follows the two-parameter Fréchet distribution. The maximum likelihood method is used to estimate the parameters of the failure distribution. The Fisher Information Matrix and variance–covariance matrix are also assembled. Furthermore, a simulation technique is applied to investigate the performance of the theoretical estimators of the parameters.

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Data Availability

The data used in the simulation study was self-generated.

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There are no real data or data codes used in the research.

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The author received no specific funding for this study.

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Authors and Affiliations

  1. Department of Management, St. Andrews Institute of Technology & Management, Gurugram, Haryana, India

    Intekhab Alam & Lalit Kumar Sharma

  2. Department of Mathematics, College of Arts & Sciences (Wadi Ad Dawasir), Prince Sattam bin Abdulaziz University, Al Kharj, Saudi Arabia

    Sadia Anwar

  3. Department of Statistics & Operations Research, Aligarh Muslim University, Aligarh, India

    Aquil Ahmed

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  1. Intekhab Alam
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  2. Sadia Anwar
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  3. Lalit Kumar Sharma
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  4. Aquil Ahmed
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All authors equally contributed. They read and approved the manuscript.

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Correspondence to Intekhab Alam.

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Alam, I., Anwar, S., Sharma, L.K. et al. Competing Risk Analysis in Constant Stress Partially Accelerated Life Tests Under Censored Information. Ann. Data. Sci. 10, 1379–1403 (2023). https://doi.org/10.1007/s40745-022-00401-z

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