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Titlebook: An Introduction to Continuous-Time Stochastic Processes; Theory, Models, and Vincenzo Capasso,David Bakstein Textbook 2021Latest edition T

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樓主
發(fā)表于 2025-3-21 16:14:26 | 只看該作者 |倒序瀏覽 |閱讀模式
期刊全稱An Introduction to Continuous-Time Stochastic Processes
期刊簡稱Theory, Models, and
影響因子2023Vincenzo Capasso,David Bakstein
視頻videohttp://file.papertrans.cn/156/155194/155194.mp4
發(fā)行地址Introduces readers to the theory of continuous-time stochastic processes using real-life examples in medicine, finance, and biology.Includes updated exercises, examples, and material based on advances
學科分類Modeling and Simulation in Science, Engineering and Technology
圖書封面Titlebook: An Introduction to Continuous-Time Stochastic Processes; Theory, Models, and  Vincenzo Capasso,David Bakstein Textbook 2021Latest edition T
影響因子This textbook, now in its fourth edition, offers a rigorous and self-contained introduction to the theory of continuous-time stochastic processes, stochastic integrals, and stochastic differential equations. Expertly balancing theory and applications, it features concrete examples of modeling real-world problems from biology, medicine, finance, and insurance using stochastic methods. No previous knowledge of stochastic processes is required. Unlike other books on stochastic methods that specialize in a specific field of applications, this volume examines the ways in which similar stochastic methods can be applied across di?erent ?elds..Beginning with the fundamentals of probability, the authors go on to introduce the theory of stochastic processes, the It? Integral, and stochastic differential equations. The following chapters then explore stability, stationarity, and ergodicity. The second half of the book is dedicated to applications to a variety of fields, including finance, biology, and medicine. Some highlights of this fourth edition include a more rigorous introduction to Gaussian white noise, additional material on the stability of stochastic semigroups used in models of pop
Pindex Textbook 2021Latest edition
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沙發(fā)
發(fā)表于 2025-3-21 20:33:55 | 只看該作者
Stochastic Processeson processes with independent increments, martingales, and Markov processes. The two fundamental classes of processes, Poisson and Wiener, are introduced as well as the larger, more general, class of Lévy processes. Further, a significant introduction to random measures and marked counting processes
板凳
發(fā)表于 2025-3-22 01:02:07 | 只看該作者
地板
發(fā)表于 2025-3-22 06:16:02 | 只看該作者
Stability, Stationarity, Ergodicityence. Connections with semigroup representations of Markov dynamical systems on suitable Banach spaces are presented. Ergodic properies and long time behaviour are analyzed, including concepts of stability, invariant distributions and first passage times.
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發(fā)表于 2025-3-22 12:39:29 | 只看該作者
Applications to Finance and Insurancengales and Girsanov’s theorem. It explains the standard Black–Scholes theory and relates it to Kolmogorov’s partial differential equations and the Feynman–Kac formula. Extensions and variations of the standard theory are discussed as well as interest rate models and insurance mathematics.
6#
發(fā)表于 2025-3-22 15:04:40 | 只看該作者
Applications to Biology and Medicineern research, the fundamentals of self-organizing systems, in particular focusing on the social behavior of multiagent systems, with some applications to economics (“price herding”). It also includes a particular application to the neurosciences, illustrating the importance of stochastic differentia
7#
發(fā)表于 2025-3-22 19:25:53 | 只看該作者
Textbook 2021Latest editionchastic integrals, and stochastic differential equations. Expertly balancing theory and applications, it features concrete examples of modeling real-world problems from biology, medicine, finance, and insurance using stochastic methods. No previous knowledge of stochastic processes is required. Unli
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發(fā)表于 2025-3-23 01:02:16 | 只看該作者
Die Harmonie der Stundenlinien,. As a complement, there is a discussion on environmental noise, in particular evidencing paradoxes that may arise when adding Gaussian white noise to parameters. Models of bounded noise are then discussed. As an example of a multi-scale system with a stochastic geometric structure, a nontrivial model of tumor-driven angiogenesis has been added.
9#
發(fā)表于 2025-3-23 02:41:44 | 只看該作者
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