Stochastic Integration with Jumps

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Stochastic Integration with Jumps (Encyclopedia of Mathematics and its Applications) by Klaus Bichteler 40820521811295.pdf (3.18 MB, 需要: 10 个论坛币)

2012-4-29 18:24:58 上传

Stochastic Integration with Jumps
需要: 10 个论坛币  [购买]

Publisher: Cambridge University Press; 1 edition (May 13, 2002) | ISBN: 0521811295 | Pages: 512 | PDF | 3.18 MB

Stochastic processes with jumps and random measures are gaining importance as drivers in applications like financial mathematics and signal processing. This book develops stochastic integration theory for both integrators (semimartingales) and random measures from a common point of view. Using some novel predictable controlling devices, the author furnishes the theory of stochastic differential equations driven by them, as well as their stability and numerical approximation theories. Highlights feature DCT and Egoroff's Theorem, as well as comprehensive analogs to results from ordinary integration theory, for instance, previsible envelopes and an algorithm computing stochastic integrals of c`agl`ad integrands pathwise.

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关键词：Integration Stochastic Stochast ration Jumps University measures common