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On The Range Of Correlation Coefficients Of Bivariate Ordered Discrete Random Variables

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  • Lee, Lung-fei

Abstract

The range of correlation coefficient of any bivariate discrete random vector with finite or countably infinite values is derived. We show analytically that the normal-transformed discrete bivariate probability system of Van Ophem (1999, Econometric Theory 15, 228–237) has a flexible correlation coefficient. We establish the strictly monotonic relation of its correlation coefficient with the bivariate normal correlation-coefficient parameter in the system.

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  • Lee, Lung-fei, 2001. "On The Range Of Correlation Coefficients Of Bivariate Ordered Discrete Random Variables," Econometric Theory, Cambridge University Press, vol. 17(1), pages 247-256, February.
    • Handle: RePEc:cup:etheor:v:17:y:2001:i:01:p:247-256_17
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    Cited by:

    1. Faugeras Olivier P., 2017. "Inference for copula modeling of discrete data: a cautionary tale and some facts," Dependence Modeling, De Gruyter, vol. 5(1), pages 121-132, January.
    2. Mothafer, Ghasak I.M.A. & Yamamoto, Toshiyuki & Shankar, Venkataraman N., 2018. "A multivariate heterogeneous-dispersion count model for asymmetric interdependent freeway crash types," Transportation Research Part B: Methodological, Elsevier, vol. 108(C), pages 84-105.

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