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论三角测量单位权方差的先验估计与后验估计
引用本文:覃辉.论三角测量单位权方差的先验估计与后验估计[J].四川测绘,1994(1).
作者姓名:覃辉
作者单位:中南工业大学
摘    要:三角洲量单位权方差的先验估值一般用经典菲列罗公式计算。实践中,经常出现三角测量单位权方差的先验估值不等于后验估值的情形.本文根据条件平差的原理,证明了单位权方基的先验估值是有偏估计,经典菲列罗公式是后验估计公式的特殊形式,并推导出了广义菲列罗公式。

关 键 词:三角网  单位权方差  后验估计  菲列罗公式

DISCUSSION OF A PRIOR AND A POSTERIOR ESTIMATE OF UNIT WEIGHT VARIANCE FOR TRIANGULATION
Qin Hui.DISCUSSION OF A PRIOR AND A POSTERIOR ESTIMATE OF UNIT WEIGHT VARIANCE FOR TRIANGULATION[J].Surveying and Mapping of Sichuan,1994(1).
Authors:Qin Hui
Institution:Central South University of Technology
Abstract:A prior estimate of unit weight variance is usually calculated by the classicalFerrelo's formula. In practice of survey, the case that a prior estimate of it is'nt equalto a peterior one appears frequently. Based on the principle of condition adjustment ,thispaper proves that a prior estimate of it is biased and the classical Fetrelo's formula is aspecial case of posterior estimate formule of it, A expanded Ferrelo's formula is derived.
Keywords:triangulation network  variance of unit weight  prior estimate  posterior estimate  Ferrelo's formula
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