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An Introduction to Bartlett Correction and Bias Reduction

  • Book
  • © 2014

Overview

  • Provides a unified overview of Bartlett corrections and bias reduction
  • Discusses bootstrap-based inference
  • Includes applications to important statistical models
  • Includes supplementary material: sn.pub/extras

Part of the book series: SpringerBriefs in Statistics (BRIEFSSTATIST)

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Table of contents (4 chapters)

Keywords

About this book

This book presents a concise introduction to Bartlett and Bartlett-type corrections of statistical tests and bias correction of point estimators. The underlying idea behind both groups of corrections is to obtain higher accuracy in small samples. While the main focus is on corrections that can be analytically derived, the authors also present alternative strategies for improving estimators and tests based on bootstrap, a data resampling technique and discuss concrete applications to several important statistical models.

Reviews

From the book reviews:

“This monograph endeavors to give a review of research on the topic of Bartlett and Bartlett-type corrections that can be applied to test statistics as well as bias corrections of maximum likelihood estimators. The authors have written an interesting book, which is intended to serve the need of researchers and graduate students in statistics. The book could also be very useful as a supplement for graduate level courses among others in statistical inference.” (Apostolos Batsidis, zbMATH 1306.62025, 2015)

Authors and Affiliations

  • Departamento de Estatística, Universidade Federal de Pernambuco, Recife, Brazil

    Gauss M. Cordeiro, Francisco Cribari-Neto

About the authors

Gauss M. Cordeiro is a Professor of Statistics at Universidade Federal de Pernambuco in Brazil. He is a former chief editor of the Brazilian Journal of Probability and Statistics and a former president of the Brazilian Statistical Association.

Francisco Cribari-Neto is a Professor of Statistics at Universidade Federal de Pernambuco in Brazil. He is a former applications editor of the Brazilian Journal of Probability and Statistics and a former president of the Brazilian Econometric Society.

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