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导弹最大射程Bayes估计的分析和改进
引用本文:张健,赵建华,安维廉.导弹最大射程Bayes估计的分析和改进[J].应用数学学报,1995(2).
作者姓名:张健  赵建华  安维廉
作者单位:中国科学院系统科学研究所,北京市乔根电子新技术开发中心
摘    要:本文用验前数据的质量因子及估计的相对均方误差分析了导弹最大射程的一类Bayes估计的性能,对不同的质量因子,给出了最佳验前数据量的一种近似公式。针对这类Bayes估计的冒进问题,本文对它们进行了改进并得到了一类新的估计。最后,通过MonteCarlo法比较了这些估计的相对均方误差,验证了新估计的优良性。

关 键 词:导弹最大射程,质量因子,最佳验前数据量,Bayes估计,合并均值与方差

ANALYSIS AND IMPROVEMENT OF SOME BAYES ESTIMATE FOR THE MAXIMUM RANGE OF A MISSILE
ZHANG JIAN.ANALYSIS AND IMPROVEMENT OF SOME BAYES ESTIMATE FOR THE MAXIMUM RANGE OF A MISSILE[J].Acta Mathematicae Applicatae Sinica,1995(2).
Authors:ZHANG JIAN
Abstract:In this paper, the performance of some kind of Bayes estimates for the maximum range of a missile is analysed in terms of the quality factor of the prior data and their mean square error. For the different quality factor, some approximation to the best volume of the prior bata are given. In view of the rash advance of this kind of Bayes estimates, an improvement is made for them and some new kinds of estimates are obtained. Furthermore,a comparision of their mean square error is reported by the Monte Carlo, and shows the good performance of the new estimates.
Keywords:Maximum range of a missile  quality factor  best volume of the prior data  Bayes estimate  pooling mean and variance  
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