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Hypothesis testing with Rao's quadratic entropy and its application to Dinosaur biodiversity

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  • Yueqin Zhao
  • Dayanand N. Naik

Abstract

Entropy indices, such as Shannon entropy and Gini-Simpson index, have been used for analysing biological diversities. However, these entropy indices are based on abundance of the species only and they do not take differences between the species into consideration. Rao's quadratic entropy has found many applications in different fields including ecology. Further, the quadratic entropy (QE) index is the only ecological diversity index that reflects both the differences and abundances of the species. The problem of testing of hypothesis of the equality of QEs is formulated as a problem of comparing practical equivalence intervals. Simulation experiments are used to compare various equivalence intervals. Previously analyzed dinosaur data are used to illustrate the methods for determining biodiversity.

Suggested Citation

  • Yueqin Zhao & Dayanand N. Naik, 2012. "Hypothesis testing with Rao's quadratic entropy and its application to Dinosaur biodiversity," Journal of Applied Statistics, Taylor & Francis Journals, vol. 39(8), pages 1667-1680, January.
    • Handle: RePEc:taf:japsta:v:39:y:2012:i:8:p:1667-1680
    DOI: 10.1080/02664763.2012.663347
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    Cited by:

    1. Benoît Carmichael & Gilles Boevi Koumou & Kevin Moran, 2023. "Unifying Portfolio Diversification Measures Using Rao’s Quadratic Entropy," Journal of Quantitative Economics, Springer;The Indian Econometric Society (TIES), vol. 21(4), pages 769-802, December.
    2. Benoit Carmichael & Gilles Boevi Koumou & Kevin Moran, 2021. "The political reception of innovations," Cahiers de recherche 2107, Centre de recherche sur les risques, les enjeux économiques, et les politiques publiques.
    3. Benoît Carmichael & Gilles Boevi Koumou & Kevin Moran, 2021. "The RQE-CAPM : New insights about the pricing of idiosyncratic risk," CIRANO Working Papers 2021s-28, CIRANO.
    4. Dionne, Georges & Koumou, Gilles Boevi, 2018. "Machine Learning and Risk Management: SVDD Meets RQE," Working Papers 18-6, HEC Montreal, Canada Research Chair in Risk Management.

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