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 : Dr. Ali Al-Shamrani 
Thesis Type : Master Thesis 
Publishing Year : 1444 AH
2023 AD 
Added Date : Saturday, June 17, 2023 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
أحمد جمال العرفجAl-Arfaj, Ahmed JamalResearcherMaster 

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