摘要
提出了一个新的估计类———极大可能性估计。详细研究了以p次抛物线为参照函数的极大可能性估计。在以p次抛物线为参照函数的极大可能性估计中,p=1对应可能性带权绝对值和最小估计,p=2对应可能性最小二乘估计。给出了确定观测值的权的一般方法。最后结合实例说明了极大可能性估计的实用性与正确性。
A new method of parameter estimation,which is called Maximum Possibility Estimation is presented. Theoretically speaking, the new method is different from the existing parameter estimation. Possibility is taken as the theoretical basis in the new method. At first the principle and the optimal criterion of Maximum Possibility Estimation using p parabola as a consult function are given in the paper. It is proved that we can obtain Least Absolute Value Sum Estimation and Least Square Estimation when p=1 and p=2 respectively. Then the general method of determining weight is given. Finally the correctness of the new method is validated with an example.
出处
《测绘学报》
EI
CSCD
北大核心
2003年第3期193-197,共5页
Acta Geodaetica et Cartographica Sinica
基金
国家高技术研究发展计划(863计划)资助项目(2001AA135081)
香港理工大学研究基金资助项目(1.34.37.9709)
