On the choice of nonparametric entropy estimator in entropy-based goodness-of-fit test statistics

Sangun Park, Dong Wan Shin

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Entropy-based goodness-of-fit test statistics can be established by estimating the entropy difference or Kullback-Leibler information, and several entropy-based test statistics based on various entropy estimators have been proposed. In this article, we first give comments on some problems resulting from not satisfying the moment constraints. We then study the choice of the entropy estimator by noting the reason why a test based on a better entropy estimator does not necessarily provide better powers.

Original languageEnglish
Pages (from-to)809-819
Number of pages11
JournalCommunications in Statistics - Theory and Methods
Volume41
Issue number5
DOIs
Publication statusPublished - 2012 Jun 26

Fingerprint

Goodness of Fit Test
Test Statistic
Entropy
Estimator
Kullback-Leibler Information
Moment

All Science Journal Classification (ASJC) codes

  • Statistics and Probability

Cite this

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abstract = "Entropy-based goodness-of-fit test statistics can be established by estimating the entropy difference or Kullback-Leibler information, and several entropy-based test statistics based on various entropy estimators have been proposed. In this article, we first give comments on some problems resulting from not satisfying the moment constraints. We then study the choice of the entropy estimator by noting the reason why a test based on a better entropy estimator does not necessarily provide better powers.",
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On the choice of nonparametric entropy estimator in entropy-based goodness-of-fit test statistics. / Park, Sangun; Shin, Dong Wan.

In: Communications in Statistics - Theory and Methods, Vol. 41, No. 5, 26.06.2012, p. 809-819.

Research output: Contribution to journalArticle

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