MAXIMUM ORTHOGONAL COMPLEMENT LIKELIHOOD ESTIMATION FOR VARIANCE COMPONENTS
(1.Department of Mineral Engineering; Central South University of Technology; Changsha 410083；
2.Beijing General Research Institute for Nonferrous Metals; Beijing 100088)
2.Beijing General Research Institute for Nonferrous Metals; Beijing 100088)
Abstract: Based on the orthogonal complement likelihood function,the estimation formula for variance components was derived,and the Helmert's estimation formula was proved to be a special form under some assumed conditions.Finally,as an application example,the results solved by the above two formulas to a triangulateration geodetic network were shown.
Key words: orthogonal complement likelihood function; variance component; estimation formula