On the Asymptotic Normality of the Method of Moments Estimators for the Birnbaum–Saunders Distribution with a New Parametrization

On the Asymptotic Normality of the Method of Moments Estimators for the Birnbaum–Saunders Distribution with a New Parametrization

This study investigates the asymptotic properties of method-of-moments estimators for the Birnbaum–Saunders distribution under a newly proposed parametrization. Theoretical derivations establish the asymptotic normality of these estimators, supported by explicit expressions for the mean vector and v...

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Bibliographic Details
Main Authors: Piyapatr Busababodhin, Tossapol Phoophiwfa, Andrei Volodin, Sujitta Suraphee
Format: Article
Language:English
Published: MDPI AG 2025-02-01
Series:Mathematics
Subjects:
Birnbaum–Saunders distribution
method of moments estimation
asymptotic normality
delta method
return level
Online Access:https://www.mdpi.com/2227-7390/13/4/636
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