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Compound Poisson approximations for individual models with dependent risks

Insurance: Mathematics and Economics, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Genest, Christian   +2 more
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Zero-Distorted Compound Poisson INGARCH Models

2019
Compound Poisson INGARCH (CP-INGARCH) models are a wide class of processes recently introduced in the literature, which are able to describe counting systems compatible with all compound Poisson distributions and incorporating other general characteristics as conditional heteroscedasticity or overdispersion.
E. Gonçalves, N. Mendes-Lopes
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Compound Poisson Regression Models

1982
Count data are easily modelled in GLIM using the Poisson distribution. However, in modelling such data the counts are often aggregated over one or more factors, or important explanatory variables are unavailable and as a result the fit obtained is often poor.
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The compound Poisson risk model with multiple thresholds

Insurance: Mathematics and Economics, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lin, X. Sheldon, Sendova, Kristina P.
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Bivariate regression models based on compound Poisson distribution

Communications in Statistics - Theory and Methods, 2017
ABSTRACTBased on a compound Poisson distribution, new bivariate regression models are introduced and studied. The parameters of the bivariate regression models are estimated by using the maximum likelihood method. Two applications on real datasets are presented to illustrate the models.
Abdulhamid A. Alzaid   +2 more
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The Perturbed Compound Poisson Risk Model with Proportional Investment

Acta Mathematicae Applicatae Sinica, English Series
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Deng, Nai-dan   +2 more
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Modeling the Demand for Sicilian Regional Parks: A Compound Poisson Approach

Environmental and Resource Economics, 2009
This analysis examines the demand for a system of regional parks in Sicily (Italy). The analysis utilizes conventional count data methods that do not account for correlation across parks as well as a new model that allows for cross-site correlation and dispersion.
SIGNORELLO, Giovanni   +3 more
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A compound method of modelling a Poisson distribution

USSR Computational Mathematics and Mathematical Physics, 1979
Abstract A METHOD of modelling the Poisson distribution, based on the property of closedness of this distribution with respect to the convolution operator, is explained.
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Compound Poisson approximation for the Johnson-Mehl model

Journal of Applied Probability, 2000
We consider the uncovered set (i.e. the complement of the union of growing random intervals) in the one-dimensional Johnson-Mehl model. Let S(z,L) be the number of components of this set at time z > 0 which intersect (0, L]. An explicit bound is known for the total variation distance between the distribution of S(z,L) and a Poisson distribution,
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An application of compound Poisson modelling to biological dosimetry

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2010
In this paper, the r th-order univariate Hermite distributions are proposed to model the number of dicentrics in biological dosimetry. These families of distributions are introduced from compound Poisson process modelling. Regression models appropriate for analysing the number of dicentrics as a function of doses of
Puig, Pedro, Barquinero, Joan Fransesc
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