From Measures to Itô Integrals gives a clear account of measure theory, leading via L2-theory to Brownian motion, Itô integrals and a brief look at martingale calculus. Modern probability theory and the applications of stochastic processes rely heavily on an understanding of basic measure theory. This text is ideal preparation for graduate-level courses in mathematical finance and perfect for any reader seeking a basic understanding of the mathematics underpinning the various applications of Itô calculus.
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Preface; 1. Probability and measure; 2. Measures and distribution functions; 3. Measurable functions/random variables; 4. Integration and expectation; 5. Lp-spaces and conditional expectation; 6. Discrete-time martingales; 7. Brownian motion; 8. Stochastic integrals; Bibliography; Index.
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Probability theory from the ground up, with an emphasis on finance applications.
Produktdetaljer
ISBN
9781107400863
Publisert
2011-03-31
Utgiver
Cambridge University Press
Vekt
170 gr
Høyde
216 mm
Bredde
138 mm
Dybde
7 mm
Aldersnivå
UP, 05
Språk
Product language
Engelsk
Format
Product format
Heftet
Antall sider
128
Forfatter