Interval estimation for Topp-Leone distribution

Hao Qian, Bing Xing Wang, Han Zhou and Shasha Wang

Communications in Statistics - Theory and Methods, 2025, vol. 54, issue 18, 5912-5933

Abstract: This article presents several point estimation and interval estimation methods for the Topp-Leone distribution and applies them to the stress-strength model. A new moment estimation and inverse estimation are derived. The algorithm of the maximum likelihood estimation is discussed. Using the generalized pivotal quantity method, the generalized confidence intervals for model parameters and some reliability metrics are also obtained. For the estimation on reliability of stress-strength model, the generalized confidence intervals and bootstrap-p confidence intervals are given. The performance of the proposed methods is assessed by Monte Carlo simulation. Finally, a real example is used to illustrate the proposed methods.

Date: 2025
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DOI: 10.1080/03610926.2024.2447847

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