Study on Step-Stress Accelerated Life Testing for the TDUSW Distribution Using the Cumulative Exposure Model Under Progressive Type-II Censoring

Latest revision as of 17:03, 17 February 2026

This work investigates a simple step-stress accelerated life testing plan based on progressive Type-II censoring for units whose lifetimes follow the TDUSW distribution. The cumulative exposure model is adopted to describe the effect of changing stress levels during the experiment. Under this framework, the probability density function and the cumulative distribution function of the TDUSW distribution are incorporated into the likelihood structure of the progressively censored sample. Maximum likelihood estimators of the distribution parameters are derived, and numerical procedures are suggested to obtain their estimates. In addition, the asymptotic variance--covariance matrix is computed via the observed Fisher information. A real data example and a simulation study are presented to illustrate the performance of the estimators under various censoring schemes. The results demonstrate that the TDUSW model provides a flexible structure for modeling accelerated life-testing data and yields stable parameter estimates even under moderate censoring.

Latest revision as of 17:03, 17 February 2026

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-==1 Title, abstract and keywords<!-- Your document should start with a concise and informative title. Titles are often used in information-retrieval systems. Avoid abbreviations and formulae where possible. Capitalize the first word of the title.
+This work investigates a simple step-stress accelerated life testing plan based on
+progressive Type-II censoring for units whose lifetimes follow the TDUSW distribution.
-Provide a maximum of 6 keywords, and avoiding general and plural terms and multiple concepts (avoid, for example, 'and', 'of'). Be sparing with abbreviations: only abbreviations firmly established in the field should be used. These keywords will be used for indexing purposes.
+The cumulative exposure model is adopted to describe the effect of changing stress levels
+during the experiment. Under this framework, the probability density function and the
-An abstract is required for every document; it should succinctly summarize the reason for the work, the main findings, and the conclusions of the study. Abstract is often presented separately from the article, so it must be able to stand alone. For this reason, references and hyperlinks should be avoided. If references are essential, then cite the author(s) and year(s). Also, non-standard or uncommon abbreviations should be avoided, but if essential they must be defined at their first mention in the abstract itself. -->==
+cumulative distribution function of the TDUSW distribution are incorporated into the
+likelihood structure of the progressively censored sample. Maximum likelihood estimators
+of the distribution parameters are derived, and numerical procedures are suggested to
+obtain their estimates. In addition, the asymptotic variance--covariance matrix is computed
+via the observed Fisher information. A real data example and a simulation study are
+presented to illustrate the performance of the estimators under various censoring schemes.
+The results demonstrate that the TDUSW model provides a flexible structure for modeling
+accelerated life-testing data and yields stable parameter estimates even under moderate
+censoring.
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