الفهرس 
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Abstract
Reliability is considered to be one of the most quality characteristics of technical systems. Reliability assurance should therefore be an important topic during the engineering design process. Many industries have realized this and integrated a reliability program in the design process. This is specially the case within the nuclear power, the aviation, the aerospace and the offshore industries. In order to achieve this, it must be expressed in quantitative terms and specified as part of the system objective.
The analysis of the reliability of a system must be based on precisely defined concept. Since it is readily accepted that a population of supposedly identical systems, operating under similar conditions, fall at different points in time, then a failure phenomenon can only be described in probabilistic terms. Thus, the fundamental definitions of reliability must depend on concepts from probability theory.
This thesis consists of five chapters which can be summarized as follows:
Chapter (1), we review the reliability and availability measures. We also review some important probability distribution functions. Reliability evaluation of stress-strength model is considered. Mixture models and their uses in reliability work are discussed. The method of exponentiated distributions is considered. Maximum like hood method and simulation study in the reliability work are discussed.
Chapter (2), finite mixture model is applied on the life time of electronic system contains 20 electronic units, each unit include two electronic component having lindley distributions in order to estimate the reliability and failure rate of the electronic system by using mixture lindely distribution.
Chapter (3), we apply the stress-strength model to study the inference of the system performance R, where X and Y are two independent random variables belonging to pareto distribution. Maximum like hood method is applied to get the estimated parameters. Simulation study is used to compare between the real and estimated data.
Chapter (4), we have extension of exponentiated Lomax, exponentiated exponential, exponentiated Gumble, exponentiated pareto, Weibull and gumble distribution. Maximum like hood method is considered to estimate the parameters of these distributions. The Anderson value test give us the better fit of the data we are use in this chapter.
Chapter (5) we give conclusion of thesis and suggestion for the future work.
The main contribution of this thesis:
Chapter (2) has been accepted for publication in the journal of applied science research.
Chapter (3) has been accepted for publication in the journal of applied science research.
Reliability is considered to be one of the most quality characteristics of technical systems. Reliability assurance should therefore be an important topic during the engineering design process. Many industries have realized this and integrated a reliability program in the design process. This is specially the case within the nuclear power, the aviation, the aerospace and the offshore industries. In order to achieve this, it must be expressed in quantitative terms and specified as part of the system objective.
The analysis of the reliability of a system must be based on precisely defined concept. Since it is readily accepted that a population of supposedly identical systems, operating under similar conditions, fall at different points in time, then a failure phenomenon can only be described in probabilistic terms. Thus, the fundamental definitions of reliability must depend on concepts from probability theory.
This thesis consists of five chapters which can be summarized as follows:
Chapter (1), we review the reliability and availability measures. We also review some important probability distribution functions. Reliability evaluation of stress-strength model is considered. Mixture models and their uses in reliability work are discussed. The method of exponentiated distributions is considered. Maximum like hood method and simulation study in the reliability work are discussed.
Chapter (2), finite mixture model is applied on the life time of electronic system contains 20 electronic units, each unit include two electronic component having lindley distributions in order to estimate the reliability and failure rate of the electronic system by using mixture lindely distribution.
Chapter (3), we apply the stress-strength model to study the inference of the system performance R, where X and Y are two independent random variables belonging to pareto distribution. Maximum like hood method is applied to get the estimated parameters. Simulation study is used to compare between the real and estimated data.
Chapter (4), we have extension of exponentiated Lomax, exponentiated exponential, exponentiated Gumble, exponentiated pareto, Weibull and gumble distribution. Maximum like hood method is considered to estimate the parameters of these distributions. The Anderson value test give us the better fit of the data we are use in this chapter.
Chapter (5) we give conclusion of thesis and suggestion for the future work.
The main contribution of this thesis:
Chapter (2) has been accepted for publication in the journal of applied science research.
Chapter (3) has been accepted for publication in the journal of applied science research.
Reliability is considered to be one of the most quality characteristics of technical systems. Reliability assurance should therefore be an important topic during the engineering design process. Many industries have realized this and integrated a reliability program in the design process. This is specially the case within the nuclear power, the aviation, the aerospace and the offshore industries. In order to achieve this, it must be expressed in quantitative terms and specified as part of the system objective.
The analysis of the reliability of a system must be based on precisely defined concept. Since it is readily accepted that a population of supposedly identical systems, operating under similar conditions, fall at different points in time, then a failure phenomenon can only be described in probabilistic terms. Thus, the fundamental definitions of reliability must depend on concepts from probability theory.
This thesis consists of five chapters which can be summarized as follows:
Chapter (1), we review the reliability and availability measures. We also review some important probability distribution functions. Reliability evaluation of stress-strength model is considered. Mixture models and their uses in reliability work are discussed. The method of exponentiated distributions is considered. Maximum like hood method and simulation study in the reliability work are discussed.
Chapter (2), finite mixture model is applied on the life time of electronic system contains 20 electronic units, each unit include two electronic component having lindley distributions in order to estimate the reliability and failure rate of the electronic system by using mixture lindely distribution.
Chapter (3), we apply the stress-strength model to study the inference of the system performance R, where X and Y are two independent random variables belonging to pareto distribution. Maximum like hood method is applied to get the estimated parameters. Simulation study is used to compare between the real and estimated data.
Chapter (4), we have extension of exponentiated Lomax, exponentiated exponential, exponentiated Gumble, exponentiated pareto, Weibull and gumble distribution. Maximum like hood method is considered to estimate the parameters of these distributions. The Anderson value test give us the better fit of the data we are use in this chapter.
Chapter (5) we give conclusion of thesis and suggestion for the future work.
The main contribution of this thesis:
Chapter (2) has been accepted for publication in the journal of applied science research.
Chapter (3) has been accepted for publication in the journal of applied science research.