Constructing a probability distribution of an extended power function with practical application

Authors

  • Falah Hasan Jabaar Economics and Administration College - Karbala University
  • Enas Abdel Hafez Mohamed Economics and Administration College - Karbala University

Keywords:

the distribution of the power function, The New Exponential-X Power function distribution, the least squares method

Abstract

   The process of expanding the probability distributions is one of the important operations that has increased in importance significantly during the past few decades, due to the increase in the ability of classical distributions to represent real data in a broader and more accurate way. In this research, the new exponential family (NEX-Family) was used to build a new probabilistic model called (The New Exponential-X Power function distribution) (NEXPF), and the proposed model is an expansion of the distribution of the power function. As some of its statistical properties were studied, the parameters of the new distribution were estimated in two ways: (the least squares method, the partial estimator’s method). In (Wolfram Mathematica 12.2), several experiments were conducted with small, medium and large sample sizes (100, 75, 50, 25), and the mean square error(MSE)was used to compare the two estimation methods for parameter estimations.                      

Author Biographies

Falah Hasan Jabaar , Economics and Administration College - Karbala University

باحث 

قسم الاحصاء 

Enas Abdel Hafez Mohamed , Economics and Administration College - Karbala University

استاذ مساعد دكنور 

قسم الاحصاء 

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دالة الكثافة الاحتمالية (p.d.f) لتوزيع دالة القوى الموسع الجديد (NEXPF) ولقيم مختلفة لمعلمتي الشكل (β ، λ) بثبات قيمة معلمة القياس(α)

Published

2024-06-11

How to Cite

فلاح حسن جبار, & ايناس عبدالحافظ محمد. (2024). Constructing a probability distribution of an extended power function with practical application . Iraqi Journal for Administrative Sciences, 19(75), 249–265. Retrieved from https://mail.journals.uokerbala.edu.iq:8443/index.php/ijas/article/view/1877