经验Bayes估计在距离测量中的应用研究

Application of experience Bayes estimation in ranging

根据Ｂａｙｅｓ方法的基本思想，研究多组距离（长度）测试Ｂａｙｅｓ估计，推导出均值、方差未知时的距离（长度）、密集度检验所用公式。举例说明Ｂａｙｅｓ假设检验有关问题以及各种决策的期望损失，距离（长度）测量采用经验Ｂａｙｅｓ方法比较古典方法估值准确度高，置信区间小，将明显减少测量次数，缩短测试周期，提高测试质量。

According to the basic theory of Bayes, research into Bayes estimation of multigroup ranging measurement test and derive formulas used in range and density test when average value and variance are unknow. It takes an example to explain some problems in relation to Bayes hypothesis tests and all kinds of decision expected loss value. Range measurement by Bayes method has higher accuracy and shorter confidence interval. In addition, can obviously reduce measuring number, short test period and improve test quality.