Optimal design of life testing plans under Type II hybrid censoring scheme with random sample size
Keywords:
Proportional Hazard Rate Model, Type II Hybrid Censoring, Optimization Problem, Power Series Distribution
Abstract
Hybrid censoring is a combination of Type I and Type II censoring schemes, which is divided into two types, Type I and Type II hybrid censoring schemes. One practical problem in the discussion of censoring is choosing the best censoring scheme. Towards this end, different criteria can be considered, each of them may lead to a different result. One of the most important criteria is the cost of the experiment. In this article, considering a cost function as an optimization criterion in Type II hybrid censoring, the optimal censoring scheme is determined. Here, the sample size is considered as a fixed value as well as a random variable from the power series distribution, and the optimal scheme of censoring is determined so that the cost function does not exceed a pre-determined value. Numerical computation as well as a simulation study are presented for illustrating the results.
Published
2025-06-03
How to Cite
Basiri, E., & Hosseinzadeh, E. (2025). Optimal design of life testing plans under Type II hybrid censoring scheme with random sample size . Statistics, Optimization & Information Computing. https://doi.org/10.19139/soic-2310-5070-1891
Issue
Section
Research Articles
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).
