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指数分布串—并联混合系统产品的统计分析

         

摘要

给出单元寿命服从同一指数分布的串-并联混合系统产品参数的矩估计和极大似然估计,并通过大量Monte-Carlo模拟比较了估计的精度,得到在样本容量小于35时矩估计优于极大似然估计,而样本容量不小于35时极大似然估计优于矩估计.另外,还给出了参数的精确区间估计与近似区间估计,并通过大量Monte-Carlo模拟考察了区间估计的精度.%The paper presents the moment estimate and the maximum likelihood estimate of the parameters of a product which is a mixed system of series and parallel connection in which the lifetime of every single unit submitted to the same exponential distribution.Moreover,the precisions of the above point estimates are compared by performing a great deal of Monte-Carlo simulation.It can be concluded that the moment estimate is better than the maximum likelihood estimate when the sample size is less than 35 while it's the opposite when the sample size is not less than 35.Furthermore,the precise interval estimate and the approximate interval estimate of the parameters are presented and a large amount of Monte-Carlo simulation is conducted to investigate the precisions of the above interval estimates.

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