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A matrix-valued Bernoulli distribution

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  • Lovison, Gianfranco

Abstract

Matrix-valued distributions are used in continuous multivariate analysis to model sample data matrices of continuous measurements; their use seems to be neglected for binary, or more generally categorical, data. In this paper we propose a matrix-valued Bernoulli distribution, based on the log-linear representation introduced by Cox [The analysis of multivariate binary data, Appl. Statist. 21 (1972) 113-120] for the Multivariate Bernoulli distribution with correlated components.

Suggested Citation

  • Lovison, Gianfranco, 2006. "A matrix-valued Bernoulli distribution," Journal of Multivariate Analysis, Elsevier, vol. 97(7), pages 1573-1585, August.
    • Handle: RePEc:eee:jmvana:v:97:y:2006:i:7:p:1573-1585
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    References listed on IDEAS

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    1. Teugels, Jozef L, 1990. "Some representations of the multivariate Bernoulli and binomial distributions," Journal of Multivariate Analysis, Elsevier, vol. 32(2), pages 256-268, February.
    2. Peter Xue‐Kun Song, 2000. "Multivariate Dispersion Models Generated From Gaussian Copula," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 27(2), pages 305-320, June.
    3. D. R. Cox, 1972. "The Analysis of Multivariate Binary Data," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 21(2), pages 113-120, June.
    4. Rebecca A. Betensky & Alice S. Whittemore, 1996. "An Analysis of Correlated Multivariate Binary Data: Application to Familial Cancers of the Ovary and Breast," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 45(4), pages 411-429, December.
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    Cited by:

    1. Lingzhe Guo & Reza Modarres, 2020. "Testing the equality of matrix distributions," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 29(2), pages 289-307, June.

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