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Based on the statistical analysis of degradation or failure model

Author: SuZhenZhong
Tutor: ChengYiMing
School: East China Normal University
Course: Probability Theory and Mathematical Statistics
Keywords: Degradation or failure Wiener process Random degradation rate Gibbs sampling
CLC: O212.7
Type: Master's thesis
Year: 2011
Downloads: 157
Quote: 1
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Abstract


This article discusses the degradation product reliability failure models , the main purpose is to describe the product with Wiener process degradation orbit , and its statistical analysis . Article first chapter introduces the research status degradation or failure model , and gives dimension Wiener process with a simple definition of the nature of the second chapter gives a constant stress level is degraded orbit Wiener process of degradation or failure model, and the model parameters to calculate the maximum likelihood estimate confirmed by the data in the analog composite data occasions for parameter estimation than in the general failure data occasions better than the third chapter gives under constant stress accelerated life test model and its parameters of degradation or failure of maximum likelihood estimation . further deterioration rate is a random variable the model parameter estimation and Gibbs sampling with WinBUGS made ??to obtain the posterior distribution of the parameter , then , with the posterior mean parameter estimates as parameters , obtained product life density function estimation fourth chapter a step stress accelerated life test , the degradation rate of failure is a random variable model and parameter estimation main work of this paper are: a constant rate of degradation of the product is extended to the random variables . expanded the scope of degradation or failure model .

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CLC: > Mathematical sciences and chemical > Mathematics > Probability Theory and Mathematical Statistics > Mathematical Statistics > Non-parametric statistics
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