Foundations of infinitesimal stochastic analysis /
Collection : Studies in logic and the foundations of mathematics ; . v. 119 Détails physiques : 1 online resource (xii, 478 pages). ISBN :9780444879271; 0444879277; 9780080960425 (electronic bk.); 0080960421 (electronic bk.).This book gives a complete and elementary account of fundamental results on hyperfinite measures and their application to stochastic processes, including the *-finite Stieltjes sum approximation of martingale integrals. Many detailed examples, not found in the literature, are included. It begins with a brief chapter on tools from logic and infinitesimal (or non-standard) analysis so that the material is accessible to beginning graduate students.
Includes bibliographical references (pages 446-452) and index.
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