Inverse probability weighted estimation for general missing data problems
Jeffrey Wooldridge
No 05/04, CeMMAP working papers from Institute for Fiscal Studies
Abstract:
I study inverse probability weighted M-estimation under a general missing data scheme. The cases covered that do not previously appear in the literature include M-estimation with missing data due to a censored survival time, propensity scoreestimation of the average treatment effect for linear exponential family quasi-log-likelihood functions, and variable probability sampling with observed retainment frequencies. I extend an important result known to hold in special cases: estimating the selection probabilities is generally more efficient than if the known selection probabilities could be used in estimation. For the treatment effect case, the setup allows for a simple characterization of a double robustness result due to Scharfstein, Rotnitzky, and Robins (1999): given appropriate choices for the conditional mean function andquasi-log-likelihood function, only one of the conditional mean or selection probability needs to be correctly specified in order to consistently estimate the average treatmenteffect.
Date: 2004-04-01
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Related works:
Journal Article: Inverse probability weighted estimation for general missing data problems (2007) 
Working Paper: Inverse probability weighted estimation for general missing data problems (2004) 
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Persistent link: https://EconPapers.repec.org/RePEc:azt:cemmap:05/04
DOI: 10.1920/wp.cem.2004.0504
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