Dergiler / Hacettepe Journal of Mathematics and Statistics / 2021 / Cilt: 50 - Sayı: 6

A new extension of von Mises-Fisher distribution

Sayfa
1838–1854
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

To evaluate the performance of the proposed distribution, some simulation studies and analyzing three real-life examples are presented.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:Spherical distributions, including the von Mises-Fisher density, have received a great attention in the literature because of their usefulness to model circular data lying on the unit sphere.
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Temel Bulgular & Veri:However, there is a paucity of research on proposing spherical densities possing multimode tuned with a single parameter.
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Sonuç & Katkı:To evaluate the performance of the proposed distribution, some simulation studies and analyzing three real-life examples are presented.
🔬Tür:Modelleme & Sayısal Simülasyon
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Directional statistics · von Mises-Fisher distribution · Spherical data

Abstract

Spherical distributions, including the von Mises-Fisher density, have received a great attention in the literature because of their usefulness to model circular data lying on the unit sphere. However, there is a paucity of research on proposing spherical densities possing multimode tuned with a single parameter. To fill in this gap, we extend von Mises-Fisher distribution to construct a new density. Moreover, some of the important statistical properties of the proposed distribution including the estimation of parameters are highlighted. To evaluate the performance of the proposed distribution, some simulation studies and analyzing three real-life examples are presented.

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Bu Makaleye Atıf Yap

Moghimbeygi, M., Golalizadeh, M. (2022). A new extension of von Mises-Fisher distribution. Hacettepe Journal of Mathematics and Statistics, Cilt: 50 - Sayı: 6, 1838–1854. https://ajindex.com/articles/529469

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Kaynakça (19)

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