1.

Record Nr.

UNINA9910791903003321

Autore

Kopp P. E. <1944->

Titolo

From Measures to Itô Integrals / / Ekkehard Kopp [[electronic resource]]

Pubbl/distr/stampa

Cambridge : , : Cambridge University Press, , 2011

ISBN

1-107-22245-1

1-139-07659-0

9786613111180

1-139-07087-8

1-139-08114-4

1-139-08341-4

1-139-07887-9

1-283-11118-7

0-511-81311-2

Descrizione fisica

1 online resource (vii, 120 pages) : digital, PDF file(s)

Collana

AIMS library series

Classificazione

MAT034000

Disciplina

515/.42

Soggetti

Measure theory

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Probability and measure -- Measures and distribution functions -- Measurable functions/random variables -- Integration and expectation -- Lp-spaces and conditional expectation -- Discrete-time martingales -- Brownian motion -- Stochastic integrals.

Sommario/riassunto

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.