Structured Dependence Between Stochastic Processes
暫譯: 隨機過程之間的結構性依賴
Bielecki, Tomasz R., Jakubowski, Jacek, Niewȩglowski, Mariusz
- 出版商: Cambridge
- 出版日期: 2020-08-27
- 售價: $5,400
- 貴賓價: 9.5 折 $5,130
- 語言: 英文
- 頁數: 278
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 1107154251
- ISBN-13: 9781107154254
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商品描述
The relatively young theory of structured dependence between stochastic processes has many real-life applications in areas including finance, insurance, seismology, neuroscience, and genetics. With this monograph, the first to be devoted to the modeling of structured dependence between random processes, the authors not only meet the demand for a solid theoretical account but also develop a stochastic processes counterpart of the classical copula theory that exists for finite-dimensional random variables. Presenting both the technical aspects and the applications of the theory, this is a valuable reference for researchers and practitioners in the field, as well as for graduate students in pure and applied mathematics programs. Numerous theoretical examples are included, alongside examples of both current and potential applications, aimed at helping those who need to model structured dependence between dynamic random phenomena.
商品描述(中文翻譯)
結構性依賴的隨機過程理論相對年輕,但在金融、保險、地震學、神經科學和遺傳學等領域有許多現實生活中的應用。這本專著是首部專注於隨機過程之間結構性依賴建模的著作,作者不僅滿足了對堅實理論的需求,還發展了隨機過程的對應理論,這與存在於有限維隨機變數的經典聯合分佈理論相呼應。本書展示了該理論的技術面和應用面,對於該領域的研究人員和實務工作者,以及純數學和應用數學研究生來說,都是一本寶貴的參考資料。書中包含了許多理論範例,以及當前和潛在應用的範例,旨在幫助那些需要對動態隨機現象之間的結構性依賴進行建模的人士。