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A new unit distribution: properties, estimation, and regression analysis

Scientific Reports · Aralık 2024

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A new unit distribution: properties, estimation, and regression analysis
Scientific Reports · 2024 SCI-Expanded
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Makale Bilgileri

DergiScientific Reports
Yayın TarihiAralık 2024
Cilt / Sayfa14
Erişim🔓 Açık Erişim
Özet This research commences a unit statistical model named power new power function distribution, exhibiting a thorough analysis of its complementary properties. We investigate the advantages of the new model, and some fundamental distributional properties are derived. The study aims to improve insight and application by presenting quantitative and qualitative perceptions. To estimate the three unknown parameters of the model, we carefully examine various methods: the maximum likelihood, least squares, weighted least squares, Anderson–Darling, and Cramér-von Mises. Through a Monte Carlo simulation experiment, we quantitatively evaluate the effectiveness of these estimation methods, extending a robust evaluation framework. A unique part of this research lies in developing a novel regressive analysis based on the proposed distribution. The application of this analysis reveals new viewpoints and improves the benefit of the model in practical situations. As the emphasis of the study is primarily on practical applications, the viability of the proposed model is assessed through the analysis of real datasets sourced from diverse fields.

Yazarlar (9)

1
Kadir Karakaya
2
C. S. Rajitha
3
Şule Sağlam
4
Yusra A. Tashkandy
5
M. E. Bakr
6
Abdisalam Hassan Muse
7
Anoop Kumar
8
Eslam Hussam
9
Ahmed M. Gemeay

Anahtar Kelimeler

Beta regression model Educational attainment dataset Monte Carlo simulation Quantile regression analysis Stochastic ordering

Kurumlar

Amoud University
Borama Somalia
Amrita Vishwa Vidyapeetham
Coimbatore India
Central University of Haryana
Mahendergarh India
College of Sciences
Riyadh Saudi Arabia
Faculty of Science
Helwan Egypt
Faculty of Science
Tanta Egypt
Selçuk Üniversitesi
Selçuklu Turkey

Metrikler

1
Atıf
9
Yazar
5
Anahtar Kelime

Sistemimizdeki Yazarlar