ABSTRACT

Note 4 r 7 l h e results presented in this note merely gives geometric tiescriptioll of the role of the liilcar constraints, and appareiitly provide no help in the calculatioris ilceded for relevant statistical iiifcrcncc. Given a liricar pararnetxic function b / O , we generally check whctlier. b/B is linearly estimable from the simple or patterned structure of t,hc tlesign matrix A. Otherwise, one has to resort to the sweep-out method or1 ( N I L ) to find out whether 1 t C(A/). We can also use the structure of A or tlic sweep-out method to find the value of t , and in case 0 i l 5 S ; we car] also get a basis of M n C. This, in turn, will avoid solving the norilia1 equations with Lagrarige mult,ipliers.