Convergence Rate of K-Step Maximum Likelihood Estimate in Semiparametric Models

dc.creatorCheng, Guang
dc.date2007-08-22
dc.date.accessioned2026-07-07T08:24:59Z
dc.date.available2026-07-07T08:24:59Z
dc.descriptionWe suggest an iterative approach to computing K-step maximum likelihood estimates (MLE) of the parametric components in semiparametric models based on their profile likelihoods. The higher order convergence rate of K-step MLE mainly depends on the precision of its initial estimate and the convergence rate of the nuisance functional parameter in the semiparametric model. Moreover, we can show that the K-step MLE is as asymptotically efficient as the regular MLE after a finite number of iterative steps. Our theory is verified for several specific semiparametric models. Simulation studies are also presented to support these theoretical results.
dc.description22 pages, 2 tables
dc.identifierhttps://arxiv.org/abs/0708.3041
dc.identifierhttp://arxiv.org/abs/0708.3041
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136526
dc.subjectStatistics Theory
dc.titleConvergence Rate of K-Step Maximum Likelihood Estimate in Semiparametric Models
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