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Bartlett-Type Corrections

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An Introduction to Bartlett Correction and Bias Reduction

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

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Abstract

This chapter introduces Bartlett-type corrections. They extend the Bartlett correction to chi-squared asymptotic criteria other than the likelihood ratio statistic. Bartlett-type corrections are typically applied to score and Wald test statistics. The corrected tests are usually more accurate than the uncorrected ones. As with the correction described in the previous chapter, the test error vanishes faster after the correction to the test statistic has been applied. A key difference between Bartlett and Bartlett-type corrections is that the latter may involve a polynomial of second order on the test statistic.

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Authors and Affiliations

  1. Departamento de Estatística, Universidade Federal de Pernambuco, Recife, PE, Brazil

    Gauss M. Cordeiro & Francisco Cribari-Neto

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  1. Gauss M. Cordeiro
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  2. Francisco Cribari-Neto
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Correspondence to Gauss M. Cordeiro .

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Cordeiro, G.M., Cribari-Neto, F. (2014). Bartlett-Type Corrections. In: An Introduction to Bartlett Correction and Bias Reduction. SpringerBriefs in Statistics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55255-7_3

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