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Quasi-Likelihood Functions
Open accessAbstract
The connection between quasi-likelihood functions, exponential family models and nonlinear weighted least squares is examined. Consistency and asymptotic normality of the parameter estimates are discussed under second moment assumptions. The parameter estimates are shown to satisfy a property of asymptotic optimality similar in spirit to, but more general than, the corresponding optimal property of Gauss-Markov estimators.
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Citations
Cited by
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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
Zero-Inflated Poisson Regression, with an Application to Defects in Manufacturing
Lambert, D. (1992) · Technometrics · doi:10.2307/1269547 · Cited by 3,988
Econometric models based on count data. Comparisons and applications of some estimators and tests
Cameron, A. C., & Trivedi, P. K. (1986) · Journal of Applied Econometrics · doi:10.1002/jae.3950010104 · Cited by 1,771
Principles of Statistical Inference
Cox, D. R. (2006) · doi:10.1017/cbo9780511813559 · Cited by 670
Metadata
- Authors
- McCullagh, P.
- Venue
- The Annals of Statistics
- Publisher
- Institute of Mathematical Statistics
- Published
- 1983-03-01
- Volume
- 11
- Issue
- 1
- ISSN
- 0090-5364 (ISSN-L)
- OpenAlex
- W2556205749
- Cited by
- 770
- References
- 0
- FWCI
- 20.57
- Type
- journal article
- Language
- en
- Open access
- bronze
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- McCullagh, P. (1983). Quasi-Likelihood Functions. The Annals of Statistics. https://doi.org/10.1214/aos/1176346056
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
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.
