2008•Journal of Taiyuan University of Science and TechnologyRequires access

Maximum Likelihood Estimate of Accelerated Life Test Under Constant Stress Under Grouping Situation on the Exponential Distribution Occasion

Tian Yun-xia

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Abstract

This paper discussed the maximum likelihood estimation of three grouping situation of easy constant stress on the exponential distribution occasion,which is under the accelerated life test by applying differentiation.Firstly,this paper discussed the maximum likelihood estimation of the parameters a and b in the accelerated life test lnθi=a+bφ(si) that is under easy grouping situation.Secondly,this paper showed the theories of maximum likelihood estimation of the parameters a and b in lnθi=a+bφ(si),which is under the time divided into equal parts and at an ordinary point,and proved it.

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This paper discussed the maximum likelihood estimation of three grouping situation of easy constant stress on the exponential distribution occasion,which is under the accelerated life test by applying differentiation.Firstly,this paper discussed the maximum likelihood estimation of the parameters a and b in the accelerated life test lnθi=a+bφ(si) that is under easy grouping situation.Secondly,this paper showed the theories of maximum likelihood estimation of the parameters a and b in lnθi=a+bφ(si),which is under the time divided into equal parts and at an ordinary point,and proved it.

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Available abstract

This paper discussed the maximum likelihood estimation of three grouping situation of easy constant stress on the exponential distribution occasion,which is under the accelerated life test by applying differentiation.Firstly,this paper discussed the maximum likelihood estimation of the parameters a and b in the accelerated life test lnθi=a+bφ(si) that is under easy grouping situation.Secondly,this paper showed the theories of maximum likelihood estimation of the parameters a and b in lnθi=a+bφ(si),which is under the time divided into equal parts and at an ordinary point,and proved it.

Key concepts: Maximum likelihood, Mathematics, Exponential distribution, Constant (computer programming), Exponential function, Maximum likelihood sequence estimation, Statistics, Exponential family

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