The DOI matches its Crossref record; 13 of the 13 references it cites were found in a registry or an index.
Estimating Equations for Parameters in Means and Covariances of Multivariate Discrete and Continuous Responses
Abstract
Generalized estimating equations are introduced in an ad hoc fashion for the covariance matrix of a multivariate response. These equations are to be solved jointly with score equations from a generalized linear model for mean parameters. A class of quadratic exponential models is used to develop joint estimating equations for mean and covariance parameters in a more systematic fashion, and proposals for the use of such equations are developed. Comments on the relative merits of the ad hoc and model-based approaches to estimation are given and a regression illustration with a bivariate response is provided.
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Cites
(2005) · Statistics for Biology and Health · doi:10.1007/0-387-27255-0_9 · Cited by 20,133
Longitudinal data analysis using generalized linear models
LIANG, K.-Y., & ZEGER, S. L. (1986) · Biometrika · doi:10.1093/biomet/73.1.13 · Cited by 18,550
Longitudinal Data Analysis for Discrete and Continuous Outcomes
Zeger, S. L., & Liang, K.-Y. (1986) · Biometrics · doi:10.2307/2531248 · Cited by 7,764
Discrete Multivariate Analysis: Theory and Practice.
Beniger, J. R., Bishop, Y. M. M., Feinberg, S. E., Holland, P. W., Light, R. J., & Mosteller, F. (1975) · Contemporary Sociology · doi:10.2307/2063625 · Cited by 5,108
Models for Longitudinal Data: A Generalized Estimating Equation Approach
Zeger, S. L., Liang, K.-Y., & Albert, P. S. (1988) · Biometrics · doi:10.2307/2531734 · Cited by 4,505
Discrete Multivariate Analysis
(1977) · Technometrics · doi:10.1080/00401706.1977.10489605 · Cited by 1,757
Pseudo Maximum Likelihood Methods: Theory
Gourieroux, C., Monfort, A., & Trognon, A. (1984) · Econometrica · doi:10.2307/1913471 · Cited by 1,407
Structural Analysis of Discrete Data with Econometric Applications
Kamakura, W., Manski, C. F., & McFadden, D. (1982) · Journal of Marketing Research · doi:10.2307/3151745 · Cited by 1,107
Correlated Binary Regression with Covariates Specific to Each Binary Observation
Prentice, R. L. (1988) · Biometrics · doi:10.2307/2531733 · Cited by 856
Self-citationLauritzen, S. L., & Wermuth, N. (1989) · The Annals of Statistics · doi:10.1214/aos/1176347003 · Cited by 672
Cited by
Variance components testing in the longitudinal mixed effects model
Stram, D. O., & Lee, J. W. (1994) · Biometrics · doi:10.2307/2533455 · Cited by 992
An overview of methods for the analysis of longitudinal data
Zeger, S. L., & Liang, K. (1992) · Statistics in Medicine · doi:10.1002/sim.4780111406 · Cited by 678
Modelling multivariate binary data with alternating logistic regressions
CAREY, V., ZEGER, S. L., & DIGGLE, P. (1993) · Biometrika · doi:10.1093/biomet/80.3.517 · Cited by 514
Thomas, J. G., Olson, J. M., Tapscott, S. J., & Zhao, L. P. (2001) · Genome Research · doi:10.1101/gr.165101 · Cited by 316
Self-citationOn the use of a working correlation matrix in using generalised linear models for repeated measures
CROWDER, M. (1995) · Biometrika · doi:10.1093/biomet/82.2.407 · Cited by 287
Metadata
- Authors
- Prentice, R. L., & Zhao, L. P.
- Venue
- Biometrics
- Publisher
- JSTOR
- Published
- 1991-09
- Volume
- 47
- Issue
- 3
- Pages
- 825
- ISSN
- 0006-341X (ISSN-L)
- OpenAlex
- W2058558131
- Cited by
- 542
- References
- 13
- FWCI
- 12.47
- Type
- journal article
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.