Generalized fiducial inference for the generalized logistic distribution: Censored and uncensored cases

Menghan Li, Liang Yan, Meng Li and Qi Wang

Communications in Statistics - Theory and Methods, 2025, vol. 54, issue 7, 1969-1990

Abstract: This article primarily considers the statistical inference of the scale parameter, shape parameter, and reliability of the generalized logistic distribution in both censored and uncensored cases. For the progressively Type-II censored and complete samples, the frequentist method is utilized to construct asymptotic confidence intervals, and the Bayesian inference method is employed for constructing the point estimators as well as posterior credible intervals. Then the generalized fiducial method is applied to construct the fiducial point estimators and the fiducial confidence intervals. Furthermore, the non parametric generalized fiducial method is introduced to estimate the survival function. Simulation results demonstrate that the generalized fiducial method consistently outperforms other methods in terms of mean square error, average length, and empirical coverage. Finally, two real datasets are used to illustrate the proposed methods.

Date: 2025
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DOI: 10.1080/03610926.2024.2354810

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