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Doubly bounded exponential model: Some information measures and estimation

Communications in Statistics - Theory and Methods · Ocak 2024

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Doubly bounded exponential model: Some information measures and estimation
Communications in Statistics - Theory and Methods · 2024 SCI-Expanded
DOÇENT KADİR KARAKAYA →

Makale Bilgileri

DergiCommunications in Statistics - Theory and Methods
Yayın TarihiOcak 2024
Cilt / Sayfa53 · 7842-7859
Özet Abstract.: A three-parameter probability distribution is derived from a composed cumulative distribution function, which is itself a family of bounded support transformations. The transformed model called the doubly bounded exponential distribution, which exhibits decreasing shaped density while the hazard rate has increasing shape. Some statistical properties are obtained in closed form, such as the moments and various entropy functions. The parameter estimation is carried out by the methods of maximum likelihood estimate, least squares estimate, weighted least squares estimate, Anderson-Darling estimate, and Cramér-von Mises estimate. The performance of these estimators is assessed through a Monte Carlo simulation study. The identifiability of the DB-Exp model’s parameters is also investigated. The proposed distribution can produce a higher performance than several well-known bounded distributions in the literature, as shown by an application to rainfall data.

Yazarlar (5)

1
Brijesh P. Singh
2
Utpal Dhar Das
3
Kadir Karakaya
4
Hassan S. Bakouch
5
Badamasi Abba

Anahtar Kelimeler

Bounded distributions entropy estimation methods generating function hazard function simulation

Kurumlar

Banaras Hindu University
Varanasi India
Central South University
Changsha China
Faculty of Science
Tanta Egypt
Qassim University
Al-Mulida Saudi Arabia
Selçuk Üniversitesi
Selçuklu Turkey
Sharda University
Greater Noida India
Yusuf Maitama Sule University, Kano
Kano Nigeria

Metrikler

1
Atıf
5
Yazar
6
Anahtar Kelime

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