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On the null distributions of the entropy tests for the gaussian and inverse gaussian models

  • University of Rochester

Research output: Contribution to journalConference articlepeer-review

4 Scopus citations

Abstract

Vasicek (1) used the "convolution of twelve uniforms" for a Monte Carlo tabulation of the 5% critical values for his entropy test for normality. We employ a superior normal generator to construct a corrected and extended tabulation for his test. Interestingly, it is shown that, the same tables can be used for implementing Mudholkar and Tian's (2) entropy test for the composite inverse Gaussian hypothesis. The finding extends the known Gaussian, inverse Gaussian analogies.

Original languageEnglish
Pages (from-to)1507-1520
Number of pages14
JournalCommunications in Statistics - Theory and Methods
Volume30
Issue number8-9
DOIs
StatePublished - 2001
EventStatistics Reflections on the Past and Visions for the Future-International Conference in Honor of Prof. C.R. Rao on the Occasion of His 80th Birthday- - San Antonio, TX, United States
Duration: Mar 16 2000Mar 19 2000

Keywords

  • Maximum entropy
  • Normality
  • Vasicek test

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