02372cam a2200325 a 4500 EG-GiCUC 20250223032834.0 211024s2021 ua d f m 000 0 eng d EG-GiCUC eng EG-GiCUC eng Deposite M.Sc Cai01.18.03.M.Sc.2021.Ay.N Aya Daw Ahmed Alhrram A new generalized linear failure rate family of distributions / Aya Daw Ahmed Alhrram ; Supervised Abdelhady Nabih Ahmed عائلة توزيعات جديدة ذات معدل فشل خطى Cairo : Aya Daw Ahmed Alhrram , 2021 95 Leaves : charts ; 30cm 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 Distributions Failure rate family Generalized linear Abdelhady Nabih Ahmed , Supervisor http://172.23.153.220/th.pdf Nazla Revisor Shimaa Cataloger ddc TH 82765 82765 ddc 0 CUCL cl210 2024-02-11 Cai01.18.03.M.Sc.2021.Ay.N 01010110084518000 2023-09-22 00:00:00 TH ddc 0 CUCL cl2u8 2024-02-11 Cai01.18.03.M.Sc.2021.Ay.N 01020110084518000 2023-09-22 00:00:00 84518.CD CD