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Deanship of Graduate Studies
Document Details
Document Type
:
Thesis
Document Title
:
A NEW FAMILY OF DISTRIBUTIONS: THEORY AND APPLICATIONS
عائلة جديدة من التوزيعات: نظرية وتطبيقات
Subject
:
Faculty of Science
Document Language
:
Arabic
Abstract
:
Statistical models are important and have essential benefits to our world by describing and predicting real phenomena. The process of extension distributions has been used over the past years for modelling data in many fields. Nowadays, researchers tend to develop new families by extending the well-known distributions to obtain great flexibility in modelling data in practice. The aim of the current thesis is to introduce and study a new family of distributions namely, The Odd Kappa-G family of distributions by using T-X generating distributions method. The three-parameter Kappa distribution is the generator. The Odds ratio is to be taken as transformation of the baseline distribution by dividing the cumulative distribution function of the baseline distribution by one minus itself. The exponential distribution is chosen to be the representor as the baseline distribution to the new family with the supporting of real-life applications. Numerous properties of the current new family have been studied for example, moments, moment generating function, order statistics, Entropy. It is worthy to conclude by saying that as a member of this family of distributions namely the Odd Kappa-Exponential distribution is the best representor of the four real-life application examples based on goodness of fit criterions such as Akaike information criterion, Bayesian Information Criterion, Anderson_Darling, Cramér-Von and Kolmogorov-Smirnov. These criterions are used to determinate the best representor distribution of the data, this family introduces strong competitor flexible distributions among the existing distributions.
Supervisor
:
D. Ali Abdullah Alshamrani
Thesis Type
:
Master Thesis
Publishing Year
:
1444 AH
2023 AD
Added Date
:
Monday, June 5, 2023
Researchers
Researcher Name (Arabic)
Researcher Name (English)
Researcher Type
Dr Grade
Email
أحمد جمال العرفج
Alshamrani, Ahmed Jamal
Researcher
Master
Files
File Name
Type
Description
49197.pdf
pdf
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