Brownian Motion and Stochastic Calculus 在線電子書 圖書標籤: 數學 金融 金融數學 金融工程 Mathematics 統計學 quant Probability
發表於2024-11-22
Brownian Motion and Stochastic Calculus 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024
Shreve讀數學前是德語係學生!
評分非常硬的分析,硬得硌掉牙的那種,看到martingale representation thm就退課瞭
評分隨機分析與應用的教材,大二學的時候覺得真的難啊……
評分好書,就是notation看得不習慣
評分非常硬的分析,硬得硌掉牙的那種,看到martingale representation thm就退課瞭
A graduate-course text, written for readers familiar with measure-theoretic probability and discrete-time processes, wishing to explore stochastic processes in continuous time. The vehicle chosen for this exposition is Brownian motion, which is presented as the canonical example of both a martingale and a Markov process with continuous paths. In this context, the theory of stochastic integration and stochastic calculus is developed, illustrated by results concerning representations of martingales and change of measure on Wiener space, which in turn permit a presentation of recent advances in financial economics. The book contains a detailed discussion of weak and strong solutions of stochastic differential equations and a study of local time for semimartingales, with special emphasis on the theory of Brownian local time. The whole is backed by a large number of problems and exercises.
这本书的特点是非常全面,一切关于布朗运动的知识、连续半鞅随机积分ITO公式的各种变形,都可以从该书找到,不是正文就是习题。写得也极具启发性,比如和一个stopping time相联系的sigma代数filtration,一般的书都是直接给出个定义,只有这本书解释了为什么会有这样的定...
評分 評分 評分Brownian Motion and Stochastic Calculus 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024