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Some representations of the multivariate Bernoulli and binomial distributions

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  • Teugels, Jozef L
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    Abstract

    Multivariate but vectorized versions for Bernoulli and binomial distributions are established using the concept of Kronecker product from matrix calculus. The multivariate Bernoulli distribution entails a parameterized model, that provides an alternative to the traditional log-linear model for binary variables.

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    Bibliographic Info

    Article provided by Elsevier in its journal Journal of Multivariate Analysis.

    Volume (Year): 32 (1990)
    Issue (Month): 2 (February)
    Pages: 256-268

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    Handle: RePEc:eee:jmvana:v:32:y:1990:i:2:p:256-268

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    Keywords: multivariate Bernoulli distribution multivariate binomial distribution log-linear models categorical data;

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    Cited by:
    1. Lovison, Gianfranco, 2006. "A matrix-valued Bernoulli distribution," Journal of Multivariate Analysis, Elsevier, vol. 97(7), pages 1573-1585, August.
    2. Albert Maydeu-Olivares & Harry Joe, 2006. "Limited Information Goodness-of-fit Testing in Multidimensional Contingency Tables," Psychometrika, Springer, vol. 71(4), pages 713-732, December.
    3. Wu, Jianmin & Bentler, Peter M., 2013. "Limited information estimation in binary factor analysis: A review and extension," Computational Statistics & Data Analysis, Elsevier, vol. 57(1), pages 392-403.
    4. Ip, Edward H. & Wang, Yuchung J. & Yeh, Yeong-nan, 2004. "Structural decompositions of multivariate distributions with applications in moment and cumulant," Journal of Multivariate Analysis, Elsevier, vol. 89(1), pages 119-134, April.
    5. Alberto Maydeu, 2005. "A Multidimensional Unfolding Latent Trait Model For Binary Data," Working Papers Economia wp05-11, Instituto de Empresa, Area of Economic Environment.
    6. Lieven Baele & Geert Bekaert & Koen Inghelbrecht & Min Wei, 2012. "Flights to Safety," Working Paper Research 230, National Bank of Belgium.
    7. Alberto Maydeu-Olivares & Rosa MontaƱo, 2013. "How Should We Assess the Fit of Rasch-Type Models? Approximating the Power of Goodness-of-Fit Statistics in Categorical Data Analysis," Psychometrika, Springer, vol. 78(1), pages 116-133, January.
    8. Xiao, Tim, 2013. "The Impact of Default Dependency and Collateralization on Asset Pricing and Credit Risk Modeling," MPRA Paper 47136, University Library of Munich, Germany.
    9. Alberto Maydeu, 2003. "Limited and full information estimation and goodness-of-fit testing in 2n contingency tables," Working Papers Economia wp03-14, Instituto de Empresa, Area of Economic Environment.
    10. Maydeu-Olivares, Albert, 2002. "Limited information estimation and testing of Thurstonian models for preference data," Mathematical Social Sciences, Elsevier, vol. 43(3), pages 467-483, July.
    11. Teugels, J. L. & Van Horebeek, J., 1998. "Algebraic Descriptions of Nominal Multivariate Discrete Data," Journal of Multivariate Analysis, Elsevier, vol. 67(2), pages 203-226, November.

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