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Research article2015Peer reviewedOpen access

Bilinear regression model with Kronecker and linear structures for the covariance matrix

Nzabanita, Joseph; Von Rosen, Dietrich; Singull, Martin

Abstract

In this paper, the bilinear regression model based on normally distributed random matrix is studied. For these models, the dispersion matrix has the so called Kronecker product structure and they can be used for example to model data with spatio-temporal relationships. The aim is to estimate the parameters of the model when, in addition, one covariance matrix is assumed to be linearly structured. On the basis of n independent observations from a matrix normal distribution, estimating equations in a flip-flop relation are established and the consistency of estimators is studied.

Published in

Afrika Statistika
2015, Volume: 10, number: 2, pages: 827- 837

    UKÄ Subject classification

    Probability Theory and Statistics

    Publication identifier

    DOI: https://doi.org/10.16929/as/2015.827.77

    Permanent link to this page (URI)

    https://res.slu.se/id/publ/83674