JSM 2005 - Toronto

Abstract #303525

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Legend: = Applied Session, = Theme Session, = Presenter
Activity Number: 100
Type: Contributed
Date/Time: Monday, August 8, 2005 : 8:30 AM to 10:20 AM
Sponsor: Biopharmaceutical Section
Abstract - #303525
Title: Estimating the Mixing Proportion in a Semiparametric Mixture Model from Censored Time-to-event Data
Author(s): Xi Zhang*+
Companies: Columbia University
Address: 362 Riverside Drive, New York, NY, 10025, United States
Keywords: semi-parametric ; mixture models ; survival analysis ; orthogonality equations ; consistency ; weak convergence
Abstract:

In a semiparametric model treated in H=theta*F+(1-theta)*G, a sample from a mixture of two unspecified distributions is obtained with separate samples from each. Interest is in estimating the mixing proportion theta. Here, the problem is extended to allow for right-censored outcomes. A family of estimating equations is developed and the optimal member of the family is derived. It is shown that the solution to the optimal estimating equation achieves the semiparametric information bound. An approach to estimating the optimal estimation equation is developed and investigated through simulation experiments.

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Revised March 2005