TimoSeppalainen:Department of Mathematics,University of Wisconsin-Madison
Abstract. This materialis for a course on stochastic analysis at UW-Madison.The text covers the development of the stochastic integral of predictable processes with respect to cadlag semimartingale integrators,
It^o's formula in an open domain in Rn,an existence and uniqueness theorem for an equation of the type dX = dH + F(t;X) dY where Y is a cadlag semimartingale,and local time and Girsanov's theorem for Brownianmotion.
This text intends to provide a stepping stone todeeper books such asKaratzas-Shreve and Protter.The hope is that this material is accessible to students who do not have an ideal background in analysis and probability theory,and useful for instructors who(liketheauthor)are not experts on stochasticanalysis.
其实已经有点难了,供欲进一步研读金融数学、随机分析的童鞋 参考
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