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Statistical Analysis of the Accelerated Destructive Degradation Model

Author: LeWei
Tutor: TangYinCai
School: East China Normal University
Course: Probability Theory and Mathematical Statistics
Keywords: Destructive accelerated degradation test MLE Bayesian methods Gibbs sampling Numerical Simulation
CLC: TB114.3
Type: Master's thesis
Year: 2011
Downloads: 73
Quote: 0
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Abstract


Accelerated life testing in estimating degradation product reliability has played an increasingly important role. The destructive accelerated degradation test is a special kind of life test, currently the subject of research results less , in order to more deeply destructive accelerated degradation test and expand its scope of application of the future , a better estimate of the product's life , so this article select a destructive degradation model for statistical analysis , innovation of this paper is that Bayesian analysis method is applied to accelerate the degradation model destructive unknown parameters , in order to accelerate the degradation model parameter estimation destructive provides a new idea . The first chapter introduces the accelerated degradation test statistical analysis of the research status destructive accelerated degradation test arrangements and discussed in the text of a particular class of accelerated degradation model, where the model of accelerated degradation rate Arrhenius relationship meets the second in the next chapter on the full sample of unknown parameters in the model four maximum likelihood estimation and Bayesian estimation Bayesian estimation in which selected two different prior distribution for each parameter estimation . first no information first experience ; another is conjugate prior addition, as full conditional posterior distributions is not easy to direct sampling , so take the Metropolis and Gibbs sampling to perform numerical simulations of unknown parameters , and finally carried out using the mean ergodic model parameter estimation . numerical Simulation Description Bayesian estimation method to estimate model parameters destructive accelerated degradation test is superior to the maximum likelihood estimates. The third chapter describes the censored model unknown parameters maximum likelihood estimation and Bayesian estimation of the theoretical findings .

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CLC: > Industrial Technology > General industrial technology > Engineering and basic science > Engineering Mathematics > The application of probability theory, mathematical statistics > Reliability theory
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