Thesis (M.Sc.) - Cairo University - Faculty of Graduate Studies for Statistical Research - Department of Mathematical Statistics

Probability distributions are very important and fundamental to the real world and it is the basis for the study of uncertainty. In the last few decades, the extended distributions have attracted the attention of many authors. This thesis focuses on developing new generating families of continuous univariate distributions to extend any continuous distribution. Therefore, three new families of distributions called the generalized odd Lomax generated family, the generalized odd linear exponential family and the generalized linear failure rate family are introduced in this dissertation.The most important features of these new families are the generation of distributions that have all shapes of failure rates, and, it includes some well-known lifetime distributions as special sub-models.The new families also extend some well-known families in the literature. For the new families statistical and reliability properties are fully investigated. Several special distributions in the literature are derived from our newly introduced families as special cases. The importance and usefulness of the introduced families are demonstrated in applications by conducting simulation models and fitting real-world data

Issued also as CD