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Journals / TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics / 2020 / Cilt: 10 - Sayı: 4

ESTIMATION OF THE LOCATION AND SCALE PARAMETERS OF MOYAL DISTRIBUTION

Talha ARSLAN
Sukru ACITAS
Birdal SENOGLU
Pages
1135–1144
DOI
—
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AI Summary & Key Takeaways

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

At the end of the study, areal data set is used to show the implementation of the methodology developed in this paper.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Abstract.In this study, we estimate the parameters of the Moyal distribution by usingwell-known and widely-used maximum likelihood (ML) and method of moments (MoM)methodologies.
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Key Findings & Data:Howeverwhen the sample size increases performances of the ML and MML estimators are almostsame in terms of the Defficiency (Def) criterion as expected.
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Conclusion & Impact:At the end of the study, areal data set is used to show the implementation of the methodology developed in this paper.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Özet

Abstract.In this study, we estimate the parameters of the Moyal distribution by usingwell-known and widely-used maximum likelihood (ML) and method of moments (MoM)methodologies. The ML estimators of the location and scale parameters of the Moyaldistribution cannot be obtained in closed forms therefore iterative methods should beutilized. To make the study complete, modifed ML (MML) estimators for the locationand the scale parameters of the Moyal distribution are also derived. The MML estimatorsare in closed forms and asymptotically equivalent to the ML estimators. Efficiencies of theMML estimators are compared with their ML and MoM counterparts using Monte-Carlo(MC) simulation study. Results of the simulation study show that the ML estimatorsare more efficient than the MML and MoM estimators for small sample sizes. Howeverwhen the sample size increases performances of the ML and MML estimators are almostsame in terms of the Defficiency (Def) criterion as expected. At the end of the study, areal data set is used to show the implementation of the methodology developed in this paper.

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Cite This Article

ARSLAN, T., ACITAS, S., SENOGLU, B. (2020). ESTIMATION OF THE LOCATION AND SCALE PARAMETERS OF MOYAL DISTRIBUTION. TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics, Cilt: 10 - Sayı: 4, 1135–1144. https://ajindex.com/articles/327407

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