Reliability Estimation And Properties Of Complex System Based On ZZ Distribution

Several elements are connected in a certain kind way.Whether each element works or not is independent.This structure is known as a complex system.For example,the power supply and distribution system of buildings,urban rail transit system and satellite propulsion system are all complex systems.The common reliability indexes of complex system include reliability,average life,reliable life,failure rate and so on.The reliability is one of the important indexes to evaluate the system.The reliability of the whole complex system can be deduced by studying the life of each component with sample data.Life distribution includes exponential distribution,Weibull distribution,extreme value distribution and lognormal distribution.Using the above four life distributions and based on various sample data,the statistical inference of the reliability of these complex systems is one of the main research contents of many scholars.But sometimes some results are quite different from the actual life of system components.This shows that the life distribution of this kind of components does not belong to the above four distributions.ZZ distribution is a new type of system life distribution proposed in recent two years.The value of the distribution random variable is nonnegative.The probability density function is determined by two parameters.It has been proved that the ZZ distribution is more accurate and reasonable than the commonly used distribution.In this paper,the life distribution of element is assumed to be ZZ distribution.On this premise.Firstly,based on the censored sample data,give out the maximum likelihood estimation and simple linear estimation of the reliability of complex system,then discuss the properties of estimation.Secondly,under complete samples,based on the ideology of moment estimation,the reliability estimation of complex system is given,and its properties are discussed.Thirdly,under the data of success or failure,the estimation of the reliability of complex system is given,and the properties of the estimation are discussed.Finally,a simulation example is given.