Semi-parametric extended Poisson process models for count data
- Author(s)
- Podlich, HM; Faddy, MJ; Smyth, GK;
- Details
- Publication Year 2004-10,Volume 14,Issue #4,Page 311-321
- Journal Title
- STATISTICS AND COMPUTING
- Publication Type
- Journal Article
- Abstract
- A general framework for the analysis of count data (with covariates) is proposed using formulations for the transition rates of a state-dependent birth process. The form for the transition rates incorporates covariates proportionally, with the residual distribution determined from a smooth non-parametric state-dependent form. Computation of the resulting probabilities is discussed, leading to model estimation using a penalized likelihood function. Two data sets are used as illustrative examples, one representing underdispersed Poisson-like data and the other overdispersed binomial-like data.
- Publisher
- KLUWER ACADEMIC PUBL
- Keywords
- GENERAL BIRTH PROCESS; SADDLEPOINT APPROXIMATION; LINEAR-REGRESSION; LIKELIHOOD; MATRIX
- Publisher's Version
- https://doi.org/10.1023/B:STCO.0000039480.66002.5a
- Terms of Use/Rights Notice
- Refer to copyright notice on published article.
Creation Date: 2004-10-01 12:00:00