Unit Power Lindley Distribution: Properties and Estimation

Hülya Karakuş; Fatma Zehra Doğru; Fatma Gül Akgül

Makale detayları

Unit Power Lindley Distribution: Properties and Estimation

Yazarlar:

Hülya Karakuş | Fatma Zehra Doğru | Fatma Gül Akgül

Yayıncı:

Gazi University

Ana Başlıklar:

Computational Statistics | Statistical Theory

Dergi:

Gazi University Journal of Science Vol.38 Issue 1, pp.502-526

Belge Tipi:

Makale

Yayın Tarihi:

1/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001341124

pISSN:

2147-1762

Anahtar kelimeler:

Özet:

 This paper introduces the unit power Lindley distribution and presents its fundamental statistical properties, such as density and cumulative distribution functions, hazard rate functions, and, their characteristics, moments, and related measures. The parameters of this newly proposed distribution are estimated by using six different methods: maximum likelihood, least squares, weighted least squares, Cramér von Mises, Anderson Darling, and right-tail Anderson Darling. The performances of the considered estimation methods are compared through an extensive Monte Carlo simulation study. Additionally, two real datasets are modeled to demonstrate that the unit power Lindley distribution provides a significantly better fit than compared to commonly used unit distributions.

 This paper introduces the unit power Lindley distribution and presents its fundamental statistical properties, such as density and cumulative distribution functions, hazard rate functions, and, their characteristics, moments, and related measures. The parameters of this newly proposed distribution are estimated by using six different methods: maximum likelihood, least squares, weighted least squares, Cramér von Mises, Anderson Darling, and right-tail Anderson Darling. The performances of the considered estimation methods are compared through an extensive Monte Carlo simulation study. Additionally, two real datasets are modeled to demonstrate that the unit power Lindley distribution provides a significantly better fit than compared to commonly used unit distributions.

 This paper introduces the unit power Lindley distribution and presents its fundamental statistical properties, such as density and cumulative distribution functions, hazard rate functions, and, their characteristics, moments, and related measures. The parameters of this newly proposed distribution are estimated by using six different methods: maximum likelihood, least squares, weighted least squares, Cramér von Mises, Anderson Darling, and right-tail Anderson Darling. The performances of the considered estimation methods are compared through an extensive Monte Carlo simulation study. Additionally, two real datasets are modeled to demonstrate that the unit power Lindley distribution provides a significantly better fit than compared to commonly used unit distributions.

 This paper introduces the unit power Lindley distribution and presents its fundamental statistical properties, such as density and cumulative distribution functions, hazard rate functions, and, their characteristics, moments, and related measures. The parameters of this newly proposed distribution are estimated by using six different methods: maximum likelihood, least squares, weighted least squares, Cramér von Mises, Anderson Darling, and right-tail Anderson Darling. The performances of the considered estimation methods are compared through an extensive Monte Carlo simulation study. Additionally, two real datasets are modeled to demonstrate that the unit power Lindley distribution provides a significantly better fit than compared to commonly used unit distributions.

Makale detayları

Unit Power Lindley Distribution: Properties and Estimation

Yazarlar:

Hülya Karakuş | Fatma Zehra Doğru | Fatma Gül Akgül

Yayıncı:

Gazi University

Ana Başlıklar:

Computational Statistics | Statistical Theory

Dergi:

Gazi University Journal of Science Vol.38 Issue 1, pp.502-526

Belge Tipi:

Makale

Yayın Tarihi:

1/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001341124

pISSN:

2147-1762

Unit power Lindley

Estimation

Unit distributions

Sayı

Makale detayları

Unit Power Lindley Distribution: Properties and Estimation

Yazarlar: Hülya Karakuş | Fatma Zehra Doğru | Fatma Gül Akgül

Yayıncı: Gazi University

Ana Başlıklar: Computational Statistics | Statistical Theory

Dergi: Gazi University Journal of Science Vol.38 Issue 1, pp.502-526

Belge Tipi: Makale

Yayın Tarihi: 1/2025

Belge Dili: İngilizce

Document ID (Org No.): 2001341124

pISSN: 2147-1762

Unit power Lindley

Estimation

Unit distributions

Sayı

Yazarlar:

Hülya Karakuş | Fatma Zehra Doğru | Fatma Gül Akgül

Yayıncı:

Gazi University

Ana Başlıklar:

Computational Statistics | Statistical Theory

Dergi:

Gazi University Journal of Science Vol.38 Issue 1, pp.502-526

Belge Tipi:

Makale

Yayın Tarihi:

1/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001341124

pISSN:

2147-1762