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Dergiler / Cumhuriyet Science Journal / 2022 / Cilt: 43 - Sayı: 2

A New Extension Form for Continuous Probability Distributions: Uniform-X Distributions

Çiğdem TOPÇU GÜLÖKSÜZ
Nuri ÇELİK
Sayfa
351–357
Yayın Tarihi
2022-10-12
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The new extensions give the best fit to the corresponding data over the well-known probability distributions.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, generating extension forms for continuous probability distribution functions is studied.
📊
Temel Bulgular & Veri:The related functions of the new extensions are defined, random samples are generated from the new extensions and the results are presented.
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Sonuç & Katkı:The new extensions give the best fit to the corresponding data over the well-known probability distributions.
🔬Tür:Modelleme & Sayısal Simülasyon
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In this paper, generating extension forms for continuous probability distribution functions is studied. The considered transformer function is applied to three well-known probability distributions- Normal, Kumaraswamy, Weibull- and new extensions of these distributions are obtained. The related functions of the new extensions are defined, random samples are generated from the new extensions and the results are presented. Parameter estimation procedures of the extensions are studied, and likelihood equations are obtained. To demonstrate the modeling performance of the extensions, three different data sets are considered, separately. Each data set is modeled by both the corresponding probability distribution and its extensions. The new extensions give the best fit to the corresponding data over the well-known probability distributions.

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Bu Makaleye Atıf Yap

GÜLÖKSÜZ, Ç. T., ÇELİK, N. (2022). A New Extension Form for Continuous Probability Distributions: Uniform-X Distributions. Cumhuriyet Science Journal, Cilt: 43 - Sayı: 2, 351–357. https://ajindex.com/articles/477486

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