A compound Poisson risk model with variable premium rate
نویسندگان
چکیده
منابع مشابه
The perturbed compound Poisson risk model with two-sided jumps
In this paper, we consider a perturbed compound Poisson risk model with two-sided jumps. The downward jumps represent the claims following an arbitrary distribution, while the upward jumps are also allowed to represent the random gains. Assuming that the density function of the upward jumps has a rational Laplace transform, the Laplace transforms and defective renewal equations for the discount...
متن کاملOptimal Dividend Problem for a Compound Poisson Risk Model
In this note we study the optimal dividend problem for a company whose surplus process, in the absence of dividend payments, evolves as a generalized compound Poisson model in which the counting process is a generalized Poisson process. This model includes the classical risk model and the Pólya-Aeppli risk model as special cases. The objective is to find a dividend policy so as to maximize the ...
متن کاملModel risk in claims reserving within Tweedie’s compound Poisson models
In this paper we examine the claims reserving problem using Tweedie’s compound Poisson model. We develop maximum likelihood and Bayesian Markov chain Monte Carlo simulation approaches to fit the model and then compare estimated models under different scenarios. The key point we demonstrate relates to comparison of reserving quantities with and without model uncertainty incorporated into the pre...
متن کاملSome Results on a Double Compound Poisson-Geometric Risk Model with Interference
In this paper, we study the actual operating of an insurance company with random income. A double compound Poisson-Geometric risk model with interference was established. By using the martingale method, the adjustment coefficient equation, the formula and the upper bound of ruin probability, the time to reach a given level in this new risk model were obtained.
متن کاملClaims Reserving Using Tweedie’s Compound Poisson Model
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]). We show that these methods lead to reaso...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of the Korean Data and Information Science Society
سال: 2012
ISSN: 1598-9402
DOI: 10.7465/jkdi.2012.23.6.1289