一元p-范极大似然平差

基金项目: 国家教委博士点基金资助项目。

详细信息

The Monadic p-th Norm the Maximum Likelihood Adjustment

Insititute of Earth Science and Engineering, WTUSM, Luoyu Road 39, Wuhan, China, 430070

摘要: 本文详细推导了一元p-范极大似然平差的计算公式。在观测误差分布单峰、对称的条件下,该法可同时确定参数估值μ、σ₀、p在忽略p的随机性影响时,本文还推导了D_μ的估算公式。
- P-范分布 /
- 极大似然平差,单位权方差因子
Abstract: The calculating formulas of the monadic p-th norm maximum likelihood adjustment is derived. Under the assumption that the distribution of observations is unimodal and Symmetrical,this method can give the estimated values of μ,σ₀, p simultaneously.A formula is also given to calculate D_μ. Two examples are presented finally. When the size of.the sample is large,the estimated values are near to their theoretical ones.
- p-th norm distribution /
- maximum likelihood adjustment