Interval Estimation for the Shape and Scale Parameters of the Birnbaum—Saunders Distribution
- Авторлар: Jantakoon N.1, Volodin A.2
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Мекемелер:
- Department of Applied Statistics
- Department of Mathematics and Statistics
- Шығарылым: Том 40, № 8 (2019)
- Беттер: 1164-1177
- Бөлім: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/205331
- DOI: https://doi.org/10.1134/S1995080219080110
- ID: 205331
Дәйексөз келтіру
Аннотация
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.
Авторлар туралы
N. Jantakoon
Department of Applied Statistics
Хат алмасуға жауапты Автор.
Email: nitaya.ja@rmu.ac.th
Таиланд, Muang Maha Sarakham, 44000
A. Volodin
Department of Mathematics and Statistics
Хат алмасуға жауапты Автор.
Email: andrei.volodin@uregina.ca
Канада, Regina, SK, S4S 0A2