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Asymptotics of Symmetric Compound Poisson Population Models [PDF]
Compound Poisson population models are particular conditional branching process models. A formula for the transition probabilities of the backward process for general compound Poisson models is verified. Symmetric compound Poisson models are defined in terms of a parameter θ ∈ (0, ∞) and a power series φ with positive radiusrof convergence. It is shown
Huillet, Thierry, Moehle, Martin
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Multi-species indices (MSI) are widely used as ecological indicators and as instruments to inform environmental policies. Many of these indices combine species-specific estimates of relative population sizes using the geometric mean.
Fränzi Korner-Nievergelt +12 more
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Existing structures may suffer from resistance deterioration due to repeated attacks. The modeling of resistance deterioration is a critical ingredient in the reliability assessment and service life prediction of these degraded structures. In this paper,
Cao Wang
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A bivariate survival model with compound Poisson frailty [PDF]
AbstractA correlated frailty model is suggested for analysis of bivariate time‐to‐event data. The model is an extension of the correlated power variance function (PVF) frailty model (correlated three‐parameter frailty model) (J. Epidemiol. Biostat. 1999; 4:53–60).
A, Wienke +3 more
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Analysing autoregressive counts over time remains a relevant and evolving matter of interest, where oftentimes the assumption of normality is made for the error terms. In the case when data are discrete, the Poisson model may be assumed for the structure
Ané van der Merwe, Johannes T. Ferreira
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Model Uncertainty in Claims Reserving within Tweedie's Compound Poisson Models [PDF]
AbstractIn this paper we examine the claims reserving problem using Tweedie's compound Poisson model. We develop the maximum likelihood and Bayesian Markov chain Monte Carlo simulation approaches to fit the model and then compare the estimated models under different scenarios.
Peters, Gareth W. +2 more
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In this paper, we model the insurance company’s surplus by a compound Poisson risk model, where the surplus process can only be observed at random observation times.
Wenguang Yu +5 more
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Mixtures of compound Poisson processes as models of tick-by-tick financial data [PDF]
A model for the phenomenological description of tick-by-tick share prices in a stock exchange is introduced. It is based on mixtures of compound Poisson processes.
Allegrini +20 more
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Fitting Tweedie's Compound Poisson Model to Insurance Claims Data: Dispersion Modelling [PDF]
AbstractWe reconsider the problem of producing fair and accurate tariffs based on aggregated insurance data giving numbers of claims and total costs for the claims. Jørgensen and de Souza (Scand Actuarial J., 1994) assumed Poisson arrival of claims and gamma distributed costs for individual claims.
Smyth, Gordon K., Jørgensen, Bent
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Claims Reserving Using Tweedie's Compound Poisson Model [PDF]
We consider the problem of claims reserving and estimating run-off triangles. We generalize the gamma cell distributions model which leads to Tweedie's compound Poisson model. Choosing a suitable parametrization, we estimate the parameters of our model within the framework of generalized linear models (see Jørgensen-de Souza [2] and Smyth-Jørgensen [8])
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