From Measures to It�o Integrals

"From Measures to It�o Integrals gives a clear account of measure theory, leading via L2-theory to Brownian motion, It�o 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 th...

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Autor principal: Kopp, P. E., 1944-
Autor corporatiu: ebrary, Inc
Format: Electrònic eBook
Idioma:anglès
Publicat: Cambridge [England] ; New York : Cambridge University Press, 2011.
Col·lecció:AIMS library series.
Matèries:
Accés en línia:An electronic book accessible through the World Wide Web; click to view
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  • Machine generated contents note: 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.