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Activity Number: 643
Type: Contributed
Date/Time: Thursday, August 7, 2014 : 10:30 AM to 12:20 PM
Sponsor: International Chinese Statistical Association
Abstract #311014 View Presentation
Title: Bias-Corrected Estimators of Scalar Skew Normal
Author(s): Guoyi Zhang*+ and Rong Liu
Companies: University of New Mexico and University of Toledo
Keywords: Bias-corrected estimators ; bias prevention ; scalar skew normal ; score function ; simulations
Abstract:

One problem of skew normal model is the difficulty in estimating the shape parameter, for which the maximum likelihood estimate may be infinite when sample size is moderate. The existing estimators suffer from large bias even for moderate size samples. In this paper, we proposed five estimators of the shape parameter for a scalar skew normal model, either by bias correction method or by solving a modified score equation. Simulation studies show that except bootstrap estimator, the proposed estimators have smaller bias compared to those estimators in literature for small and moderate samples.


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