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Journals / Hacettepe Journal of Mathematics and Statistics / 2017 / Cilt: 46 - Sayı: 5

Modi ed slash Birnbaum-Saunders distribution

Filidor VİLCA
Diego I. GALLARDO
Héctor W. GÖRMEZ
Jimmy REYES
Pages
969–984
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

A real data application is presented where the model ttingis implemented by using maximum likelihood estimation producingbetter results than the classic BS model and slash BS model.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we introduce an extension for the Birnbaum-Saunders(BS) distribution based on the modied slash (MS) distribution proposedby [12].
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Key Findings & Data:The resulting distribution is an extension of the BSdistribution that has greater kurtosis values than the usual BS distributionand the slash Birnbaum-Saunders (SBS) distribution (see [7]).Moments and some properties are derived for the new distribution.Also, we draw inferences by the method of moments and maximumlikelihood.
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Conclusion & Impact:A real data application is presented where the model ttingis implemented by using maximum likelihood estimation producingbetter results than the classic BS model and slash BS model.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, we introduce an extension for the Birnbaum-Saunders(BS) distribution based on the modied slash (MS) distribution proposedby [12]. This new family of BS type distributions is obtainedby replacing the usual normal distribution with the quotient of twoindependent random variables, one being a normal distribution in thenumerator and the power of a exponential of parameter equal to two atthe denominator. The resulting distribution is an extension of the BSdistribution that has greater kurtosis values than the usual BS distributionand the slash Birnbaum-Saunders (SBS) distribution (see [7]).Moments and some properties are derived for the new distribution.Also, we draw inferences by the method of moments and maximumlikelihood. A real data application is presented where the model ttingis implemented by using maximum likelihood estimation producingbetter results than the classic BS model and slash BS model.

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Cite This Article

VİLCA, F., GALLARDO, D. I., GÖRMEZ, H. W., REYES, J. (2022). Modi ed slash Birnbaum-Saunders distribution. Hacettepe Journal of Mathematics and Statistics, Cilt: 46 - Sayı: 5, 969–984. https://ajindex.com/articles/530021

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