Famoye, Felix Restricted generalized Poisson regression model. (English) Zbl 0784.62018 Commun. Stat., Theory Methods 22, No. 5, 1335-1354 (1993). Summary: The family of generalized Poisson distributions has been found useful in describing over-dispersed and under-dispersed count data. We propose the use of restricted generalized Poisson regression models to predict a response variable affected by one or more explanatory variables. Approximate tests for the adequacy of the model and the estimation of the parameters are considered. A restricted generalized Poisson regression model has been applied to an observed data set. Cited in 36 Documents MSC: 62F10 Point estimation 62J99 Linear inference, regression 62F03 Parametric hypothesis testing 62E20 Asymptotic distribution theory in statistics Keywords:over-dispersion; under-dispersion; approximate tests; generalized Poisson distributions; count data; restricted generalized Poisson regression models; explanatory variables PDFBibTeX XMLCite \textit{F. Famoye}, Commun. Stat., Theory Methods 22, No. 5, 1335--1354 (1993; Zbl 0784.62018) Full Text: DOI References: [1] DOI: 10.2307/2347661 [2] DOI: 10.2307/2289799 [3] Consul P.C., Generalized Poisson Distributions: Properties and Applications (1989) · Zbl 0691.62015 [4] DOI: 10.1080/03610929208830766 · Zbl 0800.62355 [5] DOI: 10.1080/03610928808829623 · Zbl 0850.62263 [6] DOI: 10.2307/1267389 · Zbl 0271.60020 [7] Consul P.C., Comm. Statist. - Theor. & Meth 17 pp 1533– (1984) [8] DOI: 10.1080/03610918508812463 [9] DOI: 10.1093/biomet/70.1.269 · Zbl 0511.62007 [10] DOI: 10.2307/3314846 · Zbl 0679.62051 [11] DOI: 10.2307/2289002 · Zbl 0611.62072 [12] DOI: 10.2307/2531094 · Zbl 0534.62073 [13] DOI: 10.2307/2284525 · Zbl 0271.62086 [14] Gupta R.C., Sankhya series B 36 pp 288– (1974) [15] Hinde, J. Compound Poisson regression models. GLIM 82: Proc. Internat. Conf. Generalized Linear Models. Edited by: Gilchrist, R. pp.109–121. Berlin: Springer. · Zbl 0505.62050 [16] DOI: 10.2307/2531004 [17] DOI: 10.1007/BF02479355 · Zbl 0332.62022 [18] Janardan K.G., Amer. Journ of Math. Management Sci 2 pp 145– (1982) [19] DOI: 10.2307/3314912 · Zbl 0632.62060 [20] DOI: 10.2307/2530416 [21] DOI: 10.1080/03610928808829640 · Zbl 04516461 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.