Maximum Likelihood Adjustment of the monadic Unsymmetrical P-norm distribution

摘要：

According to the magnitudes of the measuring errors, the measuring errors distribution is determined by using the distribution collocation test method or figure method, but it is difficult to obtain the specific distribution. According to the foundational properties of the random errors, this paper deduces a more general error distribution—the unsymmetrical Pnorm distribution, and then discussing the maximum likelihood adjustment of the p-norm distribution in detail. The distributions of degenerate. Laplace, normal and rectangular are the specific cases of the unsymmetrical P-norm distribution respectively. The maximum likelihood adjustment method of the unsymmetrical P-norm distribution is proposed, and the foundational equations of the adjustment are given. For each concrete measuring data, we can select a suitable value for p to make the theoretical model of the error distribution which is used in the data processing be more closer to the true errors distribution than the normal distribution.

关键词： measure errors statistical properties maximum likelihood adjustment Lp estimation

作者: Zhao Chunru Cheng Shaojie Pan Xiong

作者单位: Faculty of Information Engineering China University of Geosciences Wuhan,China

会议类型: 国际会议

会议名称: The 2nd IEEE International Conference on Advanced Computer Control(第二届先进计算机控制国际会议 ICACC 2010)

会议地点: 沈阳

会议语种:英文

页码: 181-184

在线出版日期: 2010-03-27（万方平台首次上网日期，不代表论文的发表时间）