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The resampling of entropies with the application of biodiversity

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  • Saeid Amiri

Abstract

This paper discusses the bootstrap test of entropies. Since the comparison of entropies is of prime interest in applied fields, finding an appropriate way to carry out such a comparison is of utmost importance. This paper presents how resampling should be performed to obtain an accurate p -value. Although the test using a pair-wise bootstrap confidence interval (CI) has already been dealt with in few works, here the bootstrap tests are studied because it may demand quite a different resampling algorithm compared with the CI. Moreover, the multiple test is studied. The proposed tests appear to yield several appreciable advantages. The easy implementation and the power of the proposed test can be considered as advantages. Here the entropy of the discrete variable is studied. The proposed tests are examined using Monte Carlo investigations and also evaluated using various distributions.

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  • Saeid Amiri, 2014. "The resampling of entropies with the application of biodiversity," Journal of Applied Statistics, Taylor & Francis Journals, vol. 41(2), pages 407-422, February.
    • Handle: RePEc:taf:japsta:v:41:y:2014:i:2:p:407-422
    DOI: 10.1080/02664763.2013.840052
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    References listed on IDEAS

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    1. Martin, Michael A., 2007. "Bootstrap hypothesis testing for some common statistical problems: A critical evaluation of size and power properties," Computational Statistics & Data Analysis, Elsevier, vol. 51(12), pages 6321-6342, August.
    2. Kathleen S. Fritsch & Jason C. Hsu, 1999. "Multiple Comparison of Entropies with Application to Dinosaur Biodiversity," Biometrics, The International Biometric Society, vol. 55(4), pages 1300-1305, December.
    3. Horowitz, Joel L., 2001. "The bootstrap and hypothesis tests in econometrics," Journal of Econometrics, Elsevier, vol. 100(1), pages 37-40, January.
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