TY - BOOK AU - Bichteler,Klaus TI - Stochastic integration with jumps /Klaus Bichteler T2 - Encyclopedia of mathematics and its applications SN - 9780511020735 AV - QA274 .S763 2002 PY - 2002/// CY - Cambridge, UK, New York PB - Cambridge University Press KW - Stochastic integrals KW - Jump processes KW - Electronic Books N1 - 2; Motivation: Stochastic Differential Equations --; Wiener Process --; The General Model --; Integrators and Martingales --; The Elementary Stochastic Integral --; The Semivariations --; Path Regularity of Integrators --; Processes of Finite Variation --; Martingales --; Extension of the Integral --; The Daniell Mean --; The Integration Theory of a Mean --; Countable Additivity in p-Mean --; Measurability --; Predictable and Previsible Processes --; Special Properties of Daniell's Mean --; The Indefinite Integral --; Functions of Integrators --; Ito's Formula --; Random Measures --; Control of Integral and Integrator --; Change of Measure--Factorization --; Martingale Inequalities --; The Doob-Meyer Decomposition --; Semimartingales --; Previsible Control of Integrators --; Levy Processes --; Stochastic Differential Equations --; Existence and Uniqueness of the Solution --; Stability: Differentiability in Parameters --; Pathwise Computation of the Solution --; Weak Solutions --; Stochastic Flows --; Semigroups, Markov Processes, and PDE --; Complements to Topology and Measure Theory --; Notations and Conventions --; Topological Miscellanea --; Measure and Integration --; Weak Convergence of Measures --; Analytic Sets and Capacity --; Suslin Spaces and Tightness of Measures --; The Skorohod Topology --; The L[superscript p]-Spaces --; Semigroups of Operators; 2; b N2 - The complete theory of stochastic differential equations driven by jumps, their stability, and numerical approximation theories UR - https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=569252&site=eds-live&custid=s3260518 ER -