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Finite frames can be viewed as mass points distributed in N-dimensional Euclidean space. As such they form a subclass of a larger and rich class of probability measures that we call probabilistic fram...
We investigate the optimal configurations of n points on the unit sphere for a class of potential functions. In particular, we characterize these optimal configurations in terms of theirapproximation ...
The Dirac chord method may be suitable in different areas of physics for the repre-sentation of certain six-dimensional integrals for a convex body using the probability density of the chord length di...
Many applications in the eld of statistics require Markov chain Monte Carlo methods. Determining appropriate starting values and run lengths can be both analytically and empirically challenging.
In this paper, we investigate a characterization of Quantum Mechanics by two physical principles based on general probabilistic theories.
The aim of this article is to promote the use of probabilistic methods in the study of problems in mathematical general relativity. Two new and simple singularity theorems, whose features are differen...
For a large class of absolutely continuous probabilities P it is shown that, for r > 0, for n-optimal Lr(P)-codebooks n, and any Voronoi partition Vn,a with respect to n the local probabilities P(Vn...
We find the minimum probability of lifetime ruin of an investor who can invest in a market with a risky and a riskless asset and who can purchase a reversible life annuity. The surrender charge of a l...
This work illustrates how several new pricing formulas for exotic options can be derived within a Levy framework by employing a unique pricing expression. Many existing pricing formulas of the traditi...
Urban transportation is a complex phenomenon. Since many agents are constantly interacting in parallel, it is difficult to predict the future state of a transportation system. Because of this, optimiz...
本文考虑了一类相邻两次索赔的时间间隔服从Erlang($n$)和 Erlang($m$)的混合分布的Sparre Andersen风险模型. 主要目的是研究Gerber-Shiu函数$\phi_\delta(u)$, 首先证明了$\phi_\delta(u)$满足一个高阶的积分微分方程, 然后讨论了广义Lundberg方程根的性质, 在此基础上导出了$\phi_\delta(u)$的拉普...
基于条件概率的思想,在连续值命题逻辑系统中引入赋值密度函数概念,给出了公式的概率真度、数学期望、条件概率真度的定义,并得到了一些概率真度的推理规则。证明了Lukasiewicz逻辑系统中概率真度、条件概率真度在[0,1]中稠密。
通过引入赋值密度函数、边缘密度函数等概念给出了连续值命题逻辑系统中公式概率真度的定义,并得到了一些概率真度的推理规则;引入相似度,给出了伪距离的定义,确定了二者之间的关系.
研究了一个有如下特征的排队系统:该系统的到达间隔及服务时间均为相互独立的随机变量,但不一定同分布。特别地,到达间隔分布与系统的瞬时输入量有关。这个系统是GI/G/1系统的拓广。该系统的瞬时队长过程一般不是一个马尔可夫过程,难于直接求取它的分布。利用补充变量技术,可以得到一个多维马尔可夫过程,使得上述系统的瞬时队长过程构成多维过程的一个分量过程,这样,便可借助马尔可夫过程理论及马氏骨架过程理论,得到...

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