The DOI matches its Crossref record; 11 of the 11 references it cites were found in a registry or an index.
Natural Exponential Families with Quadratic Variance Functions: Statistical Theory
Open accessAbstract
The normal, Poisson, gamma, binomial, negative binomial, and NEFGHS distributions are the six univariate natural exponential families (NEF) with quadratic variance functions (QVF). This sequel to Morris (1982) treats certain statistical topics that can be handled within this unified NEF-QVF formulation, including unbiased estimation, Bhattacharyya and Cramer-Rao lower bounds, conditional distributions and moments, quadratic regression, conjugate prior distributions, moments of conjugate priors and posterior distributions, empirical Bayes and $G_2$ minimax, marginal distributions and their moments, parametric empirical Bayes, and characterizations.
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Cites
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Nelder, J. A., & Wedderburn, R. W. M. (1972) · Journal of the Royal Statistical Society. Series A (General) · doi:10.2307/2344614 · Cited by 7,194
The Advanced Theory of Statistics.
Clarke, G. M., Kendall, M., & Stuart, A. (1978) · Journal of the Royal Statistical Society. Series A (General) · doi:10.2307/2344782 · Cited by 6,658
Estimation with Quadratic Loss
James, W., & Stein, C. (1992) · Springer Series in Statistics · doi:10.1007/978-1-4612-0919-5_30 · Cited by 2,252
Quasi-likelihood functions, generalized linear models, and the Gauss—Newton method
WEDDERBURN, R. W. M. (1974) · Biometrika · doi:10.1093/biomet/61.3.439 · Cited by 2,122
Parametric empirical Bayes inference: theory and applications
Morris, C. N. (1983) · Journal of the American Statistical Association · doi:10.1080/01621459.1983.10477920 · Cited by 1,448
Stein's Estimation Rule and its Competitors—An Empirical Bayes Approach
Efron, B., & Morris, C. (1973) · Journal of the American Statistical Association · doi:10.1080/01621459.1973.10481350 · Cited by 981
Self-citationConjugate Priors for Exponential Families
Diaconis, P., & Ylvisaker, D. (1979) · The Annals of Statistics · doi:10.1214/aos/1176344611 · Cited by 700
Natural Exponential Families with Quadratic Variance Functions
Morris, C. N. (1982) · The Annals of Statistics · doi:10.1214/aos/1176345690 · Cited by 617
Self-citationA Note on the Posterior Mean of a Population Mean
Ericson, W. A. (1969) · Journal of the Royal Statistical Society Series B (Statistical Methodology) · doi:10.1111/j.2517-6161.1969.tb00794.x · Cited by 154
Cited by
Sampling-based approaches to calculating marginal densities
Gelfand, A. E., & Smith, A. F. M. (1990) · Journal of the American Statistical Association · doi:10.1080/01621459.1990.10476213 · Cited by 6,606
Parametric empirical Bayes inference: theory and applications
Morris, C. N. (1983) · Journal of the American Statistical Association · doi:10.1080/01621459.1983.10477920 · Cited by 1,448
Hierarchical Bayesian Analysis of Changepoint Problems
Carlin, B. P., Gelfand, A. E., & Smith, A. F. M. (1992) · Applied Statistics · doi:10.2307/2347570 · Cited by 584
A Coefficient of Determination for Generalized Linear Models
Zhang, D. (2017) · The American Statistician · doi:10.1080/00031305.2016.1256839 · Cited by 444
Brillinger, D. R. (1986) · Biometrics · doi:10.2307/2530689 · Cited by 344
Metadata
- Authors
- Morris, C. N.
- Venue
- The Annals of Statistics
- Publisher
- Institute of Mathematical Statistics
- Published
- 1983-06-01
- Volume
- 11
- Issue
- 2
- ISSN
- 0090-5364 (ISSN-L)
- OpenAlex
- W1990029739
- Cited by
- 253
- References
- 11
- FWCI
- 3.89
- Type
- journal article
- Language
- en
- Open access
- bronze
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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