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Multivariate Mean Parameter Estimation by Using a Partly Exponential Model

Multivariate Mean Parameter Estimation by Using a Partly Exponential Model A class of partly exponential models is proposed for the regression analysis of multivariate response data. The class is parameterized in terms of the response mean and a general shape parameter. It includes the generalized linear error model and exponential dispersion models as special cases. Maximum likelihood equations for mean parameters are shown to be of the same form as certain generalized estimating equations, and maximum likelihood estimates of mean and shape parameters are asymptotically independent. Some results are given on the efficiency of the estimating equation procedure under misspecification of the response covariance matrix. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of the Royal Statistical Society Series B (Statistical Methodology) Oxford University Press

Multivariate Mean Parameter Estimation by Using a Partly Exponential Model

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References (14)

Publisher
Oxford University Press
Copyright
© Royal Statistical Society
ISSN
1369-7412
eISSN
1467-9868
DOI
10.1111/j.2517-6161.1992.tb01453.x
Publisher site
See Article on Publisher Site

Abstract

A class of partly exponential models is proposed for the regression analysis of multivariate response data. The class is parameterized in terms of the response mean and a general shape parameter. It includes the generalized linear error model and exponential dispersion models as special cases. Maximum likelihood equations for mean parameters are shown to be of the same form as certain generalized estimating equations, and maximum likelihood estimates of mean and shape parameters are asymptotically independent. Some results are given on the efficiency of the estimating equation procedure under misspecification of the response covariance matrix.

Journal

Journal of the Royal Statistical Society Series B (Statistical Methodology)Oxford University Press

Published: Jul 1, 1992

Keywords: ; ; ; ;

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