共查询到18条相似文献,搜索用时 93 毫秒
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在本中,我们应用马尔可夫骨架过程的理论,建立了水库储水模型,并且用向后方程刻画了水库储水过程的一维分布,这一模型是随机环境流体模型的推广,在金融管理以及网络技术等领域中都有重要应用. 相似文献
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本文利用马尔可夫骨架过程理论研究PERT网络模型,其中网络各弧线的长度是相互独立的随机变量。文中构造了一个马尔可夫骨架过程,利用其向后方程求解随机网络最长路径长度的分布函数。 相似文献
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本文中,我们应用马尔可夫骨架过程的理论建立了商店出售易腐烂物品所得盈利的数学模型,并且用向后方程刻画了盈利额的一维分布. 相似文献
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侯振挺等^[1]引入了一类具有广泛应用前景的随机过程-Markov骨架过程,本文研究这类过程积分型泛函的分布和矩及其计算问题,作为应用,我们得到了Doob过程,生灰2过程积分型泛函的分布和矩的公式,尤其对于生灭过程,利用本文的方法也得到了[4]中定理1-3的结果。 相似文献
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本文借助于马尔可夫骨架过程(MSP)方法研究了SMAP/INID/1单重休假随机服务系统的队长及等待时间等指标的瞬时分布. 相似文献
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文献[1]引入一类具有广泛应用前景的随机过程-Markov骨架过程。借助Markov骨架过程的方法研究GI/G/1单重休假服务系统队长,及t时刻到达顾客等待时间的瞬时概率分布。 相似文献
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文献[1]引入了一类具有广泛应用前景的随机过程-Markov骨架过程,文献[2]研究了GI/G/1排队系统,本文对其进行了拓展,研究了多重休假GI/G/1排队模型。求出了此模型的到达过程,等待时间及队长的概率分布。 相似文献
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Kimiaki Sait 《Chaos, solitons, and fractals》2001,12(14-15)
In this paper we give stochastic processes generated by powers of the Lévy Laplacian acting on a space of generalized white noise distributions using stable processes. 相似文献
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Daniel Neuenschwander 《Insurance: Mathematics and Economics》2008,42(1):453-458
S-stable laws on the real line (more generally on Hilbert spaces), associated with some non-linear transformations (so-called “shrinking operations”), were introduced in [Jurek, Z.J., 1977. Limit distributions for truncated random variables. In: Proc. 2nd Vilnius Conference on Probability and Statistics, June 28-July 3, 1977. In: Abstracts of Communications, vol. 3, pp. 95-96; Jurek, Z.J., 1979. Properties of s-stable distribution functions. Bull. Acad. Polon. Sci. Sér. Math. XXVII (1), 135-141; Jurek, Z.J., 1981. Limit distributions for sums of shrunken random variables. Dissertationes Math. vol. CLXXXV]. In [Jurek, Z.J., Neuenschwander, D., 1999. S-stable laws in insurance and finance and generalization to nilpotent Lie groups. J. Theoret. Probab. 12 (4), 1089-1107], the authors interpreted s-stable motions on the real line as limits of total amount of claims processes (up to a deterministic premium) of a portfolio of excess-of-loss reinsurance contracts and showed that they led to Erlang’s model or to Brownian motion. In [Neuenschwander, D., 2000b. On option pricing in models driven by iterated integrals of Brownian motion. In: Mitt. SAV 2000, Heft 1, pp. 35-39], we considered stochastic integrals whose integrand and integrator are both independent Brownian motions, thus modelling a stochastic volatility; as a result we got an analogue of the Black-Scholes formula in this model, confirming a result of Hull and White [Hull, J., White, A., 1987. The pricing of options on assets with stochastic volatility. J. Finance XLII (2), 281-300]. In the present paper, we will look at a common generalization of these processes, namely s-stable motions on the real line perturbed by a stochastic integral whose integrand and integrator are both (not necessarily independent) s-stable motions. The main result will be that if we can observe the distribution of such so-perturbed s-stable motions (together with the values of the perturbing processes) at time t=1, then we can identify the whole model (including the perturbation) among all models with Lévy processes perturbed by an iterated stochastic integral of two Lévy processes (in the gaussian case) resp. among all models with a compound Poisson process with drift perturbed by an iterated stochastic integral of two compound Poisson processes (in the completely non-gaussian case if the perturbing processes have no drift) without knowing anything about the history or about its distribution during 0≤t<1. This applies, e.g., to a situation where several assets obey the same model and one can estimate the distribution at time one by looking at the values of all these assets at time t=1.Interestingly enough, it will be convenient to treat the whole matter in the algebraic framework of the so-called Heisenberg group. This is a concept coming in fact from quantum mechanics and is in a certain sense the simplest non-commutative Lie group. 相似文献
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In the paper D. Hoover, J. Keisler: Adapted probability distributions, Trans. Amer. Math. Soc. 286 (1984), 159–201 the notion of adapted distribution of two stochastic processes was introduced, which in a way represents
the notion of equivalence of those processes. This very important property is hard to prove directly, so we continue the work
of Keisler and Hoover in finding sufficient conditions for two stochastic processes to have the same adapted distribution.
For this purpose we use the concept of causality between stochastic processes, which is based on Granger’s definition of causality.
Also, we provide applications of our results to solutions of some stochastic differential equations. 相似文献
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In the first part of this paper we present an overview of relationships between time- and customer-stationary distributions of queueing processes. These have been proved by using the properties of random marked point processes, stochastic processes with embedded point processes, Palm distributions and an intensity conservation principle. In the second part a necessary and sufficient condition is established for the coincidence of the two types of stationary distributions, using conditional intensities. We also formulate the property of EPSTA that includes PASTA and ASTA as particular cases. A further result concerns the conditional EPSTA property. Applications to particular queueing systems are considered. 相似文献
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Dudley Paul Johnson 《Journal of multivariate analysis》1979,9(1):16-58
In this paper we carry on our study [4] of the algebraic representations of general stochastic processes. We give methods for constructing the algebraic representation of a stochastic process from the distribution of the process at a fixed finite number of times, we develope some techniques of integration, and we introduce the notion of a fibre bundle representation of a stochastic process. We then use this fibre bundle representation to study existence, methods of computation and the geometry of Markov process representations of the general stochastic process; thus extending [4] where existence was only discussed for discrete time or simple stochastic processes. 相似文献