Some examples of solutions to an inverse problem for the first-passage place of a jump-diffusion process

Q4 Engineering
M. Abundo
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引用次数: 0

Abstract

Abstract We report some additional examples of explicit solutions to an inverse first-passage place problem for one-dimensional diffusions with jumps, introduced in a previous paper. If X(t) is a one-dimensional diffusion with jumps, starting from a random position η ∈ [a, b], let be τa,b the time at which X(t) first exits the interval (a, b), and πa = P (X(τa,b) ≤ a) the probability of exit from the left of (a, b). Given a probability q ∈ (0, 1), the problem consists in finding the density g of η (if it exists) such that πa = q; it can be seen as a problem of optimization.
跳跃扩散过程第一通道位置反问题解的几个例子
摘要我们报道了在前一篇论文中介绍的一维带跳跃扩散的逆第一通道位置问题的显式解的一些附加例子。如果X(t)是一个有跳跃的一维扩散,从随机位置η∈[a,b]开始,设τa,b为X(t,t)第一次离开区间(a,b)的时间,πa=P(X(τa,t)≤a)为从(a,d)左边离开的概率。给定概率q∈(0,1),问题在于找到η(如果存在)的密度g,使得πa=q;这可以看作是一个优化问题。
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来源期刊
Control and Cybernetics
Control and Cybernetics 工程技术-计算机:控制论
CiteScore
0.50
自引率
0.00%
发文量
0
期刊介绍: The field of interest covers general concepts, theories, methods and techniques associated with analysis, modelling, control and management in various systems (e.g. technological, economic, ecological, social). The journal is particularly interested in results in the following areas of research: Systems and control theory: general systems theory, optimal cotrol, optimization theory, data analysis, learning, artificial intelligence, modelling & identification, game theory, multicriteria optimisation, decision and negotiation methods, soft approaches: stochastic and fuzzy methods, computer science,
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