UNIT FAV-JERRY DISTRIBUTION: PROPERTIES AND APPLICATIONS

Kadir Karakaya; Şule Sağlam

Article Details

UNIT FAV-JERRY DISTRIBUTION: PROPERTIES AND APPLICATIONS

Authors:

Kadir Karakaya | Şule Sağlam

Publisher:

Mugla Sitki Kocman University

Main Topics:

Olasılık Teorisi | Uygulamalı İstatistik

Journal:

Mugla Journal of Science and Technology Vol.11 Issue 1, pp.11-17

Document Type:

Article

Publication Date:

6/2025

Document Language:

English

Document ID (Org No.):

2001352537

pISSN:

2149-3596

Keywords:

Abstract:

 This paper introduces a novel bounded statistical distribution and explores its key characteristics, including cumulative distribution, probability density, and hazard rate functions, illustrated using graphical representations. The study examines mathematical properties such as moments, skewness, kurtosis, the Bonferroni and Lorenz curves, and order statistics. Estimators for the unknown parameter of new models are assessed, with performance evaluated via bias, mean square errors, average absolute bias, and mean relative error in Monte Carlo simulations. Finally, the practical utility of the new model is demonstrated through two real data analyses.

 This paper introduces a novel bounded statistical distribution and explores its key characteristics, including cumulative distribution, probability density, and hazard rate functions, illustrated using graphical representations. The study examines mathematical properties such as moments, skewness, kurtosis, the Bonferroni and Lorenz curves, and order statistics. Estimators for the unknown parameter of new models are assessed, with performance evaluated via bias, mean square errors, average absolute bias, and mean relative error in Monte Carlo simulations. Finally, the practical utility of the new model is demonstrated through two real data analyses.

 This paper introduces a novel bounded statistical distribution and explores its key characteristics, including cumulative distribution, probability density, and hazard rate functions, illustrated using graphical representations. The study examines mathematical properties such as moments, skewness, kurtosis, the Bonferroni and Lorenz curves, and order statistics. Estimators for the unknown parameter of new models are assessed, with performance evaluated via bias, mean square errors, average absolute bias, and mean relative error in Monte Carlo simulations. Finally, the practical utility of the new model is demonstrated through two real data analyses.

 Bu makale yeni bir sınırlı istatistiksel dağılım sunmakta ve grafik gösterimler kullanılarak gösterilen kümülatif dağılım, olasılık yoğunluğu ve tehlike oranı fonksiyonları dahil olmak üzere temel özelliklerini araştırmaktadır. Çalışmada momentler, çarpıklık, basıklık, Bonferroni ve Lorenz eğrileri ve sıra istatistikleri gibi matematiksel özellikler incelenmektedir. Yeni modellerin bilinmeyen parametrelerine ilişkin tahminciler, Monte Carlo simülasyonlarında performans bias, ortalama karesel hatalar, ortalama mutlak bias ve ortalama bağıl hata üzerinden değerlendiriliyor. Son olarak, yeni modelin pratik uygulanabilirliği, iki gerçek veri analizi aracılığıyla gösterilmektedir.

Article Details

UNIT FAV-JERRY DISTRIBUTION: PROPERTIES AND APPLICATIONS

Authors:

Kadir Karakaya | Şule Sağlam

Publisher:

Mugla Sitki Kocman University

Main Topics:

Olasılık Teorisi | Uygulamalı İstatistik

Journal:

Mugla Journal of Science and Technology Vol.11 Issue 1, pp.11-17

Document Type:

Article

Publication Date:

6/2025

Document Language:

English

Document ID (Org No.):

2001352537

pISSN:

2149-3596

Bounded Statistical Distribution

Bonferroni and Lorenz Curves

Moment Properties

Point Estimation

Total Milk Production Proportion DataSınırlı İstatistiksel Dağılım

Bonferroni ve Lorenz Eğrileri

Moment Özellikleri

Nokta Tahmini

Toplam Süt Üretimi Oranı Verisi

Issues

Article Details

Authors: Kadir Karakaya | Şule Sağlam

Publisher: Mugla Sitki Kocman University

Main Topics: Olasılık Teorisi | Uygulamalı İstatistik

Journal: Mugla Journal of Science and Technology Vol.11 Issue 1, pp.11-17

Document Type: Article

Publication Date: 6/2025

Document Language: English

Document ID (Org No.): 2001352537

pISSN: 2149-3596

Issues

Authors:

Kadir Karakaya | Şule Sağlam

Publisher:

Mugla Sitki Kocman University

Main Topics:

Olasılık Teorisi | Uygulamalı İstatistik

Journal:

Mugla Journal of Science and Technology Vol.11 Issue 1, pp.11-17

Document Type:

Article

Publication Date:

6/2025

Document Language:

English

Document ID (Org No.):

2001352537

pISSN:

2149-3596