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We construct a general stochastic process and prove weak convergence results. It is scaled in space and through the parameters of its distribution. We show that our simplified scaling is equivalent ...
This paper deals with optimal dividend payment problem in the general setup of a piecewise-deterministic compound Poisson risk model. The objective of an insurance business under consideration is to...
Abstract: The fractional Poisson process (FPP) is a counting process with independent and identically distributed inter-event times following the Mittag-Leffler distribution. This process is very usef...
This chapter is an attempt to present a mathematical theory of compound fractional Poisson processes. The chapter begins with the characterization of a well-known L\'evy process: The compound Poisson ...
The claim experience of the past is a very important information to calculate the fair price of an insurance contract. In a lot of European countries for instance the prices for motor car insurance d...
We introduce an algorithm for the segmentation of a class of regime switching processes. The segmentation algorithm is a non parametric statistical method able to identify the regimes (patches) of th...
We consider a Poisson process $\eta$ on a measurable space $(\BY,\mathcal{Y})$ equipped with a partial ordering, assumed to be strict almost everwhwere with respect to the intensity measure $\lambda$...
The aim of this paper is to study the construction of prospective mortality tables from a low number of persons subjected to risk. The presented models are the Lee-Carter and log-Poisson methods resp...
对理赔到达为复合PoissonGeometric过程的风险模型进行了推广,建立了双复合PoissonGeometric风险模型,即保单到达与理赔到达均为复合PoissonGeometric过程的风险模型并对其进行了研究,证明了基于此模型的调节系数是不存在的。并进一步考虑到保险经营中的随机因素,将模型推广为带干扰的情形,得到了破产概率表达式及其上界。
Using the results of a unique telephone survey the frequency of consumer flights from airports in a multi-airport region are modeled using a multivariate Poisson framework, the parameters of which wer...
研究一类相依风险过程,其中保费收入为复合Poisson过程,且索赔产生时以概率的可能性同时产生一次续保。运用鞅方法得出破产概率满足的Lundberg不等式和一般公式,给出当收取的保费和索赔额及续保保费均为指数分布时破产概率的具体表达式,并通过数值计算分析了初始资本、期望理赔额及续保率对保险公司破产概率的影响.
The order submission and cancelation processes are two crucial aspects in the price formation of stocks traded in order-driven markets. We investigate the dynamics of order cancelation by studying the...
In 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 m...
In this paper we study Backward Stochastic Differential Equations with two reflecting right continuous with left limits obstacles (or barriers) when the noise is given by Brownian motion and a Poisson...
本文研究索赔次数为复合Poisson-Geometric过程下的风险模型;当个体索赔额服从相位(Phase-Type)分布时,得到了破产概率的显式表达式及数值结果。

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