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利用随机过程相关知识对理赔次数服从复合Poisson-Geometric过程带干扰的风险模型做进一步研究,得出直至破产时刻总红利付款的期望现值、矩母函数及n阶矩所满足的积分微分方程及边界条件。
Exchangeable Pairs and Poisson Approximation。
We generalize the standard Poisson summation formula for lattices so that it operates on the level of theta series, allowing us to introduce noninteger dimension parameters (using the dimensionally c...
Optimal $\mathfrak{L}^β$-Control for the Global Cauchy Problem of the Relativistic Vlasov-Poisson System
the Global Cauchy Problem Relativistic Vlasov-Poisson System
2010/11/15
Recently, M.K.-H. Kiessling and A.S. Tahvildar-Zadeh proved that a unique global classical solution to the relativistic Vlasov-Poisson system exists whenever the positive, integrable initial datum is...
Notes on the Poisson formula
the Poisson formula math
2010/11/19
These notes are a part of my lectures on representations of adelic groups attached to two-dimensional schemes. They contain a study of the one-dimensional case as a preliminary step to the case of di...
A time-dependent Poisson random field model for polymorphism within and between two related biological species
A time-dependent Poisson random field model polymorphism biological species
2010/11/12
We derive a Poisson random field model for population site polymorphisms differences within and between two species that share a relatively recent common ancestor. The model can be either equilibrium ...
Existence of Spherically Symmetric Initial Data with Zero Energy, Unit Mass, and Virial less than - 1/2 for the Relativistic Vlasov-Poisson Equation with Attractive Coupling
Zero Energy Unit Mass
2010/11/19
In a recent paper, Kiessling and Tahvildar-Zadeh proved that any spherically symmetric classical solution of the attractive relativistic Vlasov-Poisson equation launched by sufficiently regular initi...
Poisson smooth structures on stratified symplectic spaces
Poisson smooth structures stratified symplectic spaces
2010/11/9
In this note we introduce the notion of a Poisson smooth structure on a symplectic stratified space. We show that under a mild condition many properties of a symplectic manifold can be extended to a ...
关于一个复合Poisson定理
2007/12/12
最近,王尧弘[4]证明了一个复合Poisson收敛定理,从而将Poisson逼近定理推广到了更为一般的情形。对于他的两个主要条件中的第一个,他猜测可以用较弱的限制去代替;至于第二个条件,他认为已不能再放宽了。本文的目的在于证明:对于他的结论而言,第一个条件已不能再减弱了;但是第二个条件是能够再放宽的。