JSM 2005 - Toronto

Abstract #304129

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Legend: = Applied Session, = Theme Session, = Presenter
Activity Number: 325
Type: Contributed
Date/Time: Tuesday, August 9, 2005 : 2:00 PM to 3:50 PM
Sponsor: Section on Statistical Computing
Abstract - #304129
Title: A Computationally Quick Bootstrap Procedure for Semiparametric Models
Author(s): John R. Dixon*+
Companies: Florida State University
Address: 214 Oceanography and Statistics Building, Tallahassee, FL, 32306, United States
Keywords: Bootstrap ; Semiparametric Inference ; Empirical Processes ; MCMC ; Biased Sampling ; Survival Analysis
Abstract:

We introduce a computationally quick bootstrap procedure. Like the weighted bootstrap, our procedure can be used to generate random draws that approximate the joint sampling distribution of the parametric and nonparametric maximum likelihood estimators in a variety of semiparametric models, including several useful biased sampling and survival analysis models. But the dimension of the maximization problem for each bootstrapped likelihood is smaller. The procedure can be stated simply. First, obtain a valid random draw for the parametric component of the model, which in many cases can be done at low computational cost. Then, take the draw for the nonparametric component to be the maximizer of the weighted bootstrap profile likelihood with the parametric component fixed at the parametric draw. This avoids the computationally costly computation of the parametric maximizers of the weighted bootstrap likelihoods necessary to give the parametric draws in the weighted bootstrap. We illustrate the computational savings for simulated vaccine efficacy trials.


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