Semiparametric Regression Model with Missing Response Data

来源 :2010年第十届中日统计研讨会 | 被引量 : 0次 | 上传用户:xamalong
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  Let (X,T,Y) be a random vector such that X is a d × 1 vector on Rd,T ranges over a nondegenerate compact l-dimensional interval I,and Y is a response variable influenced by the factors (X,T).Without loss of generality,it can be assumed that I is the unit interval [0,1].In practice,some Y values in a sample of size n may be missing,but X and T are observed completely.That is,the data consists of the incomplete observations {(Xi,Ti,Yi,δi),1 ≤ i ≤ n} from (X,T,Y,δ),where all the Xis and Tis are observed,and δ,=0 if Yi is missing,δi =1 otherwise.Throughout this paper,we assume that Y is missing at random (MAR),that is,P(δ =1 |X,T,Y) =P(δ =l |X,T).Let {(Xi,Ti,Yi,δi),1 ≤ i ≤ n} be independent and identically distributed (i.i.d.) observations.
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