الفهرس 
Chapter 1Only 14 pages are availabe for public view
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Abstract
Improving Available amount of lifetime data for analysis became very large and requires new families of lifetime distributions for modelling. This thesis consists of 7 chapters as follow: Chapter 1 introduces some main definitions, concepts, and survival models used in this thesis. Chapter 2 presents a new generalized power Akshaya distribution. Also, some statistical properties such that moments of the distribution, incomplete moments, and mean time to failure. In addition, two methods of parameter estimation are given. Finally, an application of two types of data, real data and simulation study are presented. In Chapter 3, the radar system is introduced as an example of the series-parallel system structure and improved its performance using three methods of improving using hot, cold, and reduction methods. The components are assumed to be independent and identically distributed and follow generalized power Akshaya distribution. It is concluded that the cold duplication method is the best method of improving. Chapter 4 presented a new flexible distribution modelling data in the unit interval (0,1) named as unit half-logistic geometric (UHLG) distribution with some attractive properties such as statistical functions with a closed form expression. Also, statistical properties of the UHLG distribution were derived in simple expressions. Finally, a new regression model is introduced considering parameterizing the UHLG distribution in terms of its quantile function in a closed-form expression. In Chapter 5 the bridge system structure is introduced as an application on the UHLG distribution. Its performance is improved using three methods of improving using hot, cold, and reduction methods. It is concluded that the cold duplication method is the best method of the improving methods. Chapter 6 discusses some mainly properties of the lifetime index and the conforming rate and shows the relationship between them. In addition, some methods of estimations including the maximum likelihood method and the Bayesian method for a parameter following the Bilal distribution are introduced. Testing hypothesises procedure for the lifetime Performance index and a (1- )100 % confidence interval for the lifetime index are introduced. Finally, some numerical examples are introduced to illustrate the theoretical study. In chapter 7 We reviewed what was accomplished in the thesis. Also, some important remarks we have noted during the thesis are presented. Finally, some ideas for the future works are introduced