Maximum Likelihood Estimate of Accelerated Life Test Under Constant Stress Under Grouping Situation on the Exponential Distribution Occasion
Tian Yun-xia
Abstract
Tian Yun-xia
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.
Key concepts: Maximum likelihood, Mathematics, Exponential distribution, Constant (computer programming), Exponential function, Maximum likelihood sequence estimation, Statistics, Exponential family