Interval Estimation for the Shape and Scale Parameters of the Birnbaum—Saunders Distribution
- 作者: Jantakoon N.1, Volodin A.2
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隶属关系:
- Department of Applied Statistics
- Department of Mathematics and Statistics
- 期: 卷 40, 编号 8 (2019)
- 页面: 1164-1177
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/205331
- DOI: https://doi.org/10.1134/S1995080219080110
- ID: 205331
如何引用文章
详细
Two-parameter Birnbaum-Saunders distribution has been widely studied in Reliability Theory due to its important Engineering applications. This article proposes a novel confidence intervals construction for the shape and scale parameters of the Birnbaum-Saunders distribution. We apply the following two methods: The generalized pivotal approach and the percentile bootstrap approach. The Monte Carlo simulations are used to evaluate the performance of the confidence intervals. We compare the coverage probability and average width of the proposed confidence intervals with already known. Simulation results have shown that the proposed confidence intervals perform well in terms of coverage probability and average length for various sample sizes. The illustrative example and some concluding remarks are finally presented.
作者简介
N. Jantakoon
Department of Applied Statistics
编辑信件的主要联系方式.
Email: nitaya.ja@rmu.ac.th
泰国, Muang Maha Sarakham, 44000
A. Volodin
Department of Mathematics and Statistics
编辑信件的主要联系方式.
Email: andrei.volodin@uregina.ca
加拿大, Regina, SK, S4S 0A2