Probability Theory, an Analytic View - Rilegato

Stroock, Daniel W.

 
9780521431231: Probability Theory, an Analytic View

Sinossi

Revised edition of a first-year graduate course on probability theory.

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Descrizione del libro

This revised edition is suitable for a first-year graduate course on probability theory. It is intended for students with a good grasp of undergraduate probability and a reasonably sophisticated introduction to modern analysis who now want to learn what these two topics have to say about each other. It will also be a valuable reference for those in fields as diverse as physics, engineering, and economics.

Contenuti

1. Sums of Independent random variables; 2. The central limit theorem; 3. Convergence of measures, Infinite divisibility, and processes with independent increments; 4. A celebration of Wiener's measure; 5. Conditioning and Martingales; 6. Some applications of Martingale theory; 7. Continuous Martingales and elementary diffiusion theory; 8. A little classical potential theory.

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