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2024-06-02
Brownian Motion and Stochastic Calculus 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024
使用的notation略晦澀,章節安排的順序上也有點問題,有些後麵的內容在前麵有大幅度的應用和引述.適閤作為工具書查詢,畢竟都是純推導.
評分不及Shreve的那兩本清晰,當然也是因為研究生教材更難一些
評分What the hell is this?! What the hell is that?!
評分實在是太難瞭,尤其是你要一步步推導並做習題。 初學者建議換成GTM274(Le Gall的Brownian Motion, Martingale and Stochastic Calculua)
評分不及Shreve的那兩本清晰,當然也是因為研究生教材更難一些
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Brownian Motion and Stochastic Calculus 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024