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Pseudoscore‐based estimation from biased observations
Author(s) -
Hu X. Joan,
Schroeder R. Jason,
Wang Winfred C.,
Boyett James M.
Publication year - 2006
Publication title -
statistics in medicine
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.996
H-Index - 183
eISSN - 1097-0258
pISSN - 0277-6715
DOI - 10.1002/sim.2754
Subject(s) - estimation , computer science , statistics , econometrics , mathematics , management , economics
There are many practical situations where observation of the primary variable Y for individuals in a population is incomplete and depends on some auxiliary variables X that are potentially correlated with Y . We consider parameter estimation for the distribution of Y with the incomplete data, without specifying the underlying association between Y and X . The approach is based on a class of pseudoscore functions using available information of X . We demonstrate the consistency and asymptotic normality of the estimators and study their finite‐sample properties in various situations via simulation. The methodology is illustrated by an example involving kindergarten readiness skills in children with sickle cell disease. Copyright © 2006 John Wiley & Sons, Ltd.