Estimation for half-triangular distribution based on combined type II progressive hybrid censoring scheme
Kyeongjun Lee1
1Department of Mathematics and Big Data Science, Kumoh National Institute of Technology
Correspondence to: 1 Assistant professor, Department of Mathematics and Big Data Science, Kumoh National Institute of Technology, Gumi 39177, Korea. E-mail: leekj@kumoh.ac.kr
Received October 31, 2024; Revised November 15, 2024; Accepted November 17, 2024.
This is an Open Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/by-nc/3.0) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.
- Abstract
- Due to constraints in cost and time, life-testing and reliability studies often necessitate termination before all failures are observed. Censoring techniques are extensively utilized to reduce test duration and costs. Recently, combined type II progressive hybrid censoring scheme was proposed. In this article, the estimation of the parameter of half-triangular distribution based on the combined type II progressive hybrid censored sample has been considered. The parameter is estimated by maximum likelihood estimator and approximate maximum likelihood estimator using Taylor series expansion. Simulation experiments are performed to see the effectiveness of the maximum likelihood estimator and approximate maximum likelihood estimator. Finally, a real dataset has been analyzed for illustrative purposes.
- Keywords : Approximate maximum likelihood estimator, combined type II progressive hybrid censoring scheme, half-triangular distribution, maximum likelihood estimator
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