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Titlebook: Random Evolutions and their Applications; New Trends Anatoly Swishchuk Book 2000 Springer Science+Business Media B.V. 2000 Martingale.Stoch

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樓主
發(fā)表于 2025-3-21 16:23:59 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Random Evolutions and their Applications
副標(biāo)題New Trends
編輯Anatoly Swishchuk
視頻videohttp://file.papertrans.cn/822/821041/821041.mp4
叢書名稱Mathematics and Its Applications
圖書封面Titlebook: Random Evolutions and their Applications; New Trends Anatoly Swishchuk Book 2000 Springer Science+Business Media B.V. 2000 Martingale.Stoch
描述The book is devoted to the new trends in random evolutions and their various applications to stochastic evolutionary sytems (SES). Such new developments as the analogue of Dynkin‘s formulae, boundary value problems, stochastic stability and optimal control of random evolutions, stochastic evolutionary equations driven by martingale measures are considered. The book also contains such new trends in applied probability as stochastic models of financial and insurance mathematics in an incomplete market. In the famous classical financial mathematics Black-Scholes model of a (B,S)- market for securities prices, which is used for the description of the evolution of bonds and stocks prices and also for their derivatives, such as options, futures, forward contracts, etc., it is supposed that the dynamic of bonds and stocks prices are set by a linear differential and linear stochastic differential equations, respectively, with interest rate, appreciation rate and volatility such that they are predictable processes. Also, in the Arrow-Debreu economy, the securities prices which support a Radner dynamic equilibrium are a combination of an Ito process and a random point process, with the all c
出版日期Book 2000
關(guān)鍵詞Martingale; Stochastic model; Stochastic models; Stochastic processes; operator; statistics; stochastic pr
版次1
doihttps://doi.org/10.1007/978-94-015-9598-8
isbn_softcover978-90-481-5441-8
isbn_ebook978-94-015-9598-8
copyrightSpringer Science+Business Media B.V. 2000
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沙發(fā)
發(fā)表于 2025-3-21 21:04:30 | 只看該作者
Introduction,The model of evolution of many physical processes which appears naturally in random media is a dynamical system perturbed by random disturbances of the media The abstract mathematical model of this evolution is a . (RE), namely, the solutions of a stochastic operator integral equation in separable Banach space.
板凳
發(fā)表于 2025-3-22 04:13:40 | 只看該作者
地板
發(fā)表于 2025-3-22 04:48:16 | 只看該作者
Boundary Value Problems (BVP) for RE and SES,We study the solutions of boundary value problems (BVP) for Markov and semi-Markov random evolutions (RE) Applications of these results are considered for traffic, storage and diffusion processes in random media [130, 132].
5#
發(fā)表于 2025-3-22 12:01:41 | 只看該作者
Stochastic Stability of RE and SES,In this chapter we consider stochastic stability of Markov and semi-Markov processes, random evolutions and stochastic evolutionary systems, using analogue of Dynkin’s formula for them and martingale theory.
6#
發(fā)表于 2025-3-22 16:52:44 | 只看該作者
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發(fā)表于 2025-3-22 17:55:06 | 只看該作者
8#
發(fā)表于 2025-3-23 00:34:54 | 只看該作者
Random Evolutions in Insurance Mathematics. Incomplete Market,We consider application of random evolutions to stochastic models of insurance mathematics in an incomplete market.
9#
發(fā)表于 2025-3-23 04:54:15 | 只看該作者
Stochastic Stability of Financial and Insurance Stochastic Models,In this chapter we consider stochastic stability of financial and insurance stochastic models, including dynamics of stocks prices and risk processes Also, we study stochastic stability for such models in averaging, merging, diffusion approximation and normal deviation schemes [134, 133, 131], [143]–[145].
10#
發(fā)表于 2025-3-23 06:01:39 | 只看該作者
Stochastic Optimal Control of Financial and Insurance Stochastic Models,The optimal stochastic control of financial and insurance stochastic models such as dynamics of stocks prices and risk processes in semi-Markov random media is investigated The cost functions are introduced and the dynamical programming equations are derived for these systems [137, 143, 151, 133, 131].
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