TY - BOOK AU - Barndorff-Nielsen,Ole E. AU - Shiriyaev,Albert TI - Change of time and change of measure T2 - Advanced series on statistical science and applied probability SN - 9789814678582 (hardcover : alk. paper) U1 - 519.23 23 PY - 2015/// CY - Singapore PB - World Scientific KW - Random measures KW - Stochastic analysis KW - Stochastic models KW - Probabilities KW - Time-series analysis N1 - Includes bibliographical references and index; 1. Random Change of Time; 2. Integral Representations and Change of Time in Stochastic Integrals; 3. Semimartingales: Basic Notions, Structures, Elements of Stochastic Analysis; 4. Stochastic Exponential and Stochastic Logarithm. Cumulant Processes; 5. Processes with Independent Increments. Levy Processes; 6. Change of Measure. General Facts; 7. Change of Measure in Models Based on Levy Processes; 8. Change of Time in Semimartingale Models and Models Based on Brownian Motion and Levy Processes; 9. Conditionally Gaussian Distributions and Stochastic Volatility Models for the Discrete-time Case; 10. Martingale Measures in the Stochastic Theory of Arbitrage; 11. Change of Measure in Option Pricing; 12. Conditionally Brownian and Levy Processes. Stochastic Volatility Models; 13. A Wider View. Ambit Processes and Fields, and Volatility/Intermittency N2 - Change of Time and Change of Measure provides a comprehensive account of two topics that are of particular significance in both theoretical and applied stochastics: random change of time and change of probability law ER -