The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
Maximum Likelihood Algorithms for Generalized Linear Mixed Models
Abstract
Maximum likelihood algorithms are described for generalized linear mixed models. I show how to construct a Monte Carlo version of the EM algorithm, propose a Monte Carlo Newton-Raphson algorithm, and evaluate and improve the use of importance sampling ideas. Calculation of the maximum likelihood estimates is feasible for a wide variety of problems where they were not previously. I also use the Newton-Raphson algorithm as a framework to compare maximum likelihood to the “joint-maximization” or penalized quasi-likelihood methods and explain why the latter can perform poorly.
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Cites
Handbook of Mathematical Functions
McQuarrie, D. A. (1966) · American Journal of Physics · doi:10.1119/1.1972842 · Cited by 40,433
McCullagh, P., & Nelder, J. A. (1989) · doi:10.1007/978-1-4899-3242-6 · Cited by 16,836
Searle, S. R., Casella, G., & McCulloch, C. E. (1992) · Wiley Series in Probability and Statistics · doi:10.1002/9780470316856 · Cited by 1,926
Self-citation
Cited by
Generalized additive models for location, scale and shape.
Rigby, R. A., & Stasinopoulos, D. M. (2005) · Journal of the Royal Statistical Society Series C: Applied Statistics · doi:10.1111/j.1467-9876.2005.00510.x · Cited by 3,228
Zero‐Inflated Poisson and Binomial Regression with Random Effects: A Case Study
Hall, D. B. (2000) · Biometrics · doi:10.1111/j.0006-341x.2000.01030.x · Cited by 913
Pattern discovery and cancer gene identification in integrated cancer genomic data
Mo, Q., Wang, S., Seshan, V. E., Olshen, A. B., Schultz, N., Sander, C., Powers, R. S., Ladanyi, M., & Shen, R. (2013) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1208949110 · Cited by 474
Flood frequency analysis for nonstationary annual peak records in an urban drainage basin
Villarini, G., Smith, J. A., Serinaldi, F., Bales, J., Bates, P. D., & Krajewski, W. F. (2009) · Advances in Water Resources · doi:10.1016/j.advwatres.2009.05.003 · Cited by 454
A General Maximum Likelihood Analysis of Variance Components in Generalized Linear Models
Aitkin, M. (1999) · Biometrics · doi:10.1111/j.0006-341x.1999.00117.x · Cited by 398
Metadata
- Authors
- McCulloch, C. E.
- Venue
- Journal of the American Statistical Association
- Publisher
- Informa UK Limited
- Published
- 1997-03
- Volume
- 92
- Issue
- 437
- Pages
- 162-170
- ISSN
- 0162-1459 (ISSN-L)
- 1537-274X
- OpenAlex
- W2117180217
- Cited by
- 761
- References
- 3
- FWCI
- 20.52
- 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).
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