Scopus
🔓 Açık Erişim YÖKSİS Eşleşti
Power Lambert uniform distribution: Statistical properties, actuarial measures, regression analysis, and applications
AIP Advances · Eylül 2023
YÖKSİS Kayıtları
Power Lambert uniform distribution: Statistical properties, actuarial measures, regression analysis, and applications
AIP Advances · 2023 SCI-Expanded
DOÇENT KADİR KARAKAYA →
Power Lambert uniform distribution: Statistical properties, actuarial measures, regression analysis, and applications
AIP Advances · 2023 SCI-Expanded
DOÇENT KADİR KARAKAYA →
Makale Bilgileri
DergiAIP Advances
Yayın TarihiEylül 2023
Cilt / Sayfa13
Scopus ID2-s2.0-85172695423
Erişim🔓 Açık Erişim
Özet
Here, we present a new bounded distribution known as the power Lambert uniform distribution, and we deduce some of its statistical properties such as quantile function, moments, incomplete moments, mean residual life and mean inactivity time, Lorenz, Bonferroni, and Zenga curves, and order statistics. We presented different shapes of the probability density function and the hazard function of the proposed model. Eleven traditional methods are used to estimate its parameters. The behavior of these estimators is investigated using simulation results. Some actuarial measures are derived mathematically for our proposed model. Some numerical computations for these actuarial measures are given for some choices of parameters and significance levels. A new quantile regression model is constructed based on the new unit distribution. The maximum likelihood estimation method is used to estimate the unknown parameters of the regression model. Furthermore, the usability of the new distribution and regression models is demonstrated with the COVID-19 and educational datasets, respectively.
Yazarlar (6)
1
Ahmed M. Gemeay
2
Kadir Karakaya
3
M. E. Bakr
4
Oluwafemi Samson Balogun
ORCID: 0000-0002-8870-9692
5
Mintodê Nicodème Atchadé
ORCID: 0000-0002-5507-6251
6
Eslam Hussam
Kurumlar
College of Sciences
Riyadh Saudi Arabia
Faculty of Science
Helwan Egypt
Faculty of Science
Tanta Egypt
Itä-Suomen yliopisto
Kuopio Finland
National University of Sciences
Abomey Benin
Selçuk Üniversitesi
Selçuklu Turkey
Metrikler
19
Atıf
6
Yazar