A Goodness-of-Fit Test for the Birnbaum-Saunders Distribution Based on the Probability Plot

Chanseok Park and Min Wang ()
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Chanseok Park: Pusan National University Busan
Min Wang: The University of Texas at San Antonio

A chapter in Reliability Analysis and Maintenance Optimization of Complex Systems, 2025, pp 345-359 from Springer

Abstract: Abstract In the present paper, we develop a new goodness-of-fit test for the Birnbaum-Saunders distribution based on the probability plot. We utilize the sample correlation coefficient from the Birnbaum-Saunders probability plot as a measure of goodness of fit. Unfortunately, it is impossible or extremely difficult to obtain an explicit distribution of this sample correlation coefficient. To address this challenge, we employ extensive Monte Carlo simulations to obtain the empirical distribution of the sample correlation coefficient from the Birnbaum-Saunders probability plot. This empirical distribution allows us to determine the critical values alongside their corresponding significance levels, thus facilitating the computation of the $$p$$ p -value when the sample correlation coefficient is obtained. Finally, two real-data examples are provided for illustrative purposes.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:spr:ssrchp:978-3-031-70288-4_19

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DOI: 10.1007/978-3-031-70288-4_19

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