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Structural equation modeling of multivariate gamma density

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Abstract

There is an increased interest in the multivariate gamma distribution, not only in its properties and functionality but also in its parameter estimations. In this work, we present a review of the multivariate gamma distribution, and propose a multivariate gamma distribution based on a linear relationship of a structural equation modeling. The objective is to include proportional occurrence in the density formulation for limited data applications. The dependence in the structure is maintained, and our approach uses the familiar expectation-maximization technique.

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Acknowledgments

The first author gratefully acknowledges the grant support of the Old Dominion University Office of Research. We are grateful to the editor and to the reviewers for many helpful suggestions.

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Correspondence to Norou Diawara.

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Diawara, N., Oluyede, B. & King, R.A.R. Structural equation modeling of multivariate gamma density . Afr. Mat. 25, 345–356 (2014). https://doi.org/10.1007/s13370-012-0121-7

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