思考而得 发表于 2025-3-25 03:54:24

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Incompetent 发表于 2025-3-25 08:10:04

https://doi.org/10.1007/978-1-4939-2867-5Discrete and Continuous Time; Filtering; Martingales; Stochastic Control; Stochastic Differential Equati

Kernel 发表于 2025-3-25 12:48:22

978-1-4939-3681-6Springer Science+Business Media New York 2015

打击 发表于 2025-3-25 16:04:00

Stochastic Calculus and Applications978-1-4939-2867-5Series ISSN 2297-0371 Series E-ISSN 2297-0398

明确 发表于 2025-3-25 20:09:21

Filtrations, Stopping Times and Stochastic Processesach of which is random. Our goal in this section is to build a mathematical understanding of these ‘stochastic processes’, that is, of collections of random variables, the values of which become revealed through time.

油膏 发表于 2025-3-26 02:10:08

The Progressive, Optional and Predictable ,-Algebrasogressive (Definition 3.2.25) if, for every ., the map (., .) ↦ ..(.) of ×. into . is measurable, when ×. is given the product .-algebra .. Essentially, this states that the process . is adapted . is Borel measurable with respect to time.

大雨 发表于 2025-3-26 07:53:19

The Structure of Square Integrable Martingalesplicity, .. Furthermore, indistinguishable processes will be identified, so that when we speak of a process, we really mean an equivalence class of indistinguishable processes. When we speak of a martingale, we shall invariably mean its càdlàg version.

Cholagogue 发表于 2025-3-26 11:56:08

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promote 发表于 2025-3-26 13:43:41

Measure and IntegralIn the first two chapters, we outline definitions and results from basic real analysis and measure theory, and their application to probability. These concepts form the foundation for all that follows.

宏伟 发表于 2025-3-26 20:03:10

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查看完整版本: Titlebook: Stochastic Calculus and Applications; Samuel N. Cohen,Robert J. Elliott Textbook 2015Latest edition Springer Science+Business Media New Yo