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Research on Characterization and Parameter Estimation of Bivariate Exponential Distributions and Other Related Problems

Author: ZhuHan
Tutor: LiGuoAn
School: Ningbo University
Course: Basic mathematics
Keywords: Two yuan exponential distribution Feature Parameter Estimation System Reliability Hybrid Moments
CLC: O211.3
Type: Master's thesis
Year: 2009
Downloads: 25
Quote: 0
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Abstract


Two yuan exponential distribution and related reliability problems in the application of industrial technology and expert attention by scholars since the 1960s onwards, many scholars use different reliability models deduced various binary and multiple exponential distribution , but some do not belong to exponential family exponential distribution , while the distribution of these characteristics and parameter estimation began to develop ; -depth study of these exponential distribution , while also promoting system reliability issues. Based on the existing research work abroad on the basis of the Friday-Patil Bivariate exponential Distribution characteristics and parameter estimation were studied ; right Proschan-Sullo -and Friday-Patil Bivariate exponential Distribution stress - intensity system reliability are discussed , and gives the reliability of estimates ; on three typical binary exponential distribution -Marshall-Olkin type , Block-Basu -and Weinman type were calculated and the corresponding mixed moment correlation coefficient and other digital features , and the independence and irrelevance the situation was discussed article mainly divided into four parts: the first part will be divided into exponential distribution of the four directions , and domestic and foreign research literature describes the second part of the Friday-Patil type of binary index conducted a detailed study of the distribution . gives Friday-Patil type of binary exponential distribution characteristics deduced moment estimation and maximum likelihood estimation, also given stochastic simulation ; Finally, the carrier is a binary Friday-Patil exponential Distribution parallel and series systems discussed , gives the corresponding reliability estimates. third part in a number of scholars on the basis of existing literature on the carrier is a binary Proschan-Sullo exponential Distribution stress - intensity model the system is discussed . gives the stress intensity obey Proschan-Sullo exponential Distribution parallel and series system reliability estimation four cases . fourth part in turn based on the Marshall-Olkin , Block-Basu Bivariate -and Weinman exponential correlation coefficient correlation coefficient is calculated and tail are also calculated in two yuan Marshall-Olkin exponential Distribution and mixed moments , and through these calculations derive their independence and irrelevance equivalent conditions .

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CLC: > Mathematical sciences and chemical > Mathematics > Probability Theory and Mathematical Statistics > Theory of probability ( probability theory, probability theory ) > Distribution theory
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