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Download e-book for iPad: Seminar on Stochastic Processes, 1989 by Richard F. Bass, Krzysztof Burdzy (auth.), E. Çinlar, K. L.

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By Richard F. Bass, Krzysztof Burdzy (auth.), E. Çinlar, K. L. Chung, R. K. Getoor, P. J. Fitzsimmons, R. J. Williams (eds.)

ISBN-10: 0817634576

ISBN-13: 9780817634575

ISBN-10: 1461234581

ISBN-13: 9781461234586

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SHARPE [DM1] C. Dellacherie et P. A. Meyer. Probabilites et Potentiel, II. Hennann, Pads, 1980. [DM2] C. Dellacherie et P. A. Meyer. Probabilites et Potentiel, IV. Hennann, Paris, 1987. [Fl] P. J. Fitzsimmons. Markov processes with identical hitting probabilities. Math. , 192 (1986), 547-554. [F2] P. J. Fitzsimmons. On the identification of Markov processes by the distribution of hitting times. Sem. Stoch. , 1986, 15-19. Birkhauser, Boston, 1987. [F3] P. J. Fitzsimmons. Penetration times and Skorohod stopping.

Meyer. Probabilites et Potentiel, IV. Hennann, Paris, 1987. [Fl] P. J. Fitzsimmons. Markov processes with identical hitting probabilities. Math. , 192 (1986), 547-554. [F2] P. J. Fitzsimmons. On the identification of Markov processes by the distribution of hitting times. Sem. Stoch. , 1986, 15-19. Birkhauser, Boston, 1987. [F3] P. J. Fitzsimmons. Penetration times and Skorohod stopping. Sem. de Prob. , 1321, Springer, BerlinHeidelberg-New York, 1988. [FM) P. J. Fitzsimmons and B. Maisonneuve. Excessive measures and Markov processes with random birth and death.

The next fact will be used in §3. 9) Proposition. l EM. s. t -t X t is Proof. Let f be a bounded cr , the process T T, Cr , is contained in T -continuous function T -right continuous. ce . lU -continuous function. Under the hypothesis on f X t is nearly optional. See [S, p. 21]. Let (Tn) be a sequence 0 of stopping times decreasing to T. 5). lU. s. right continuous. See VI-48 of [DM1]. 9). 10) Remark. Recall that a finite excessive function h is a cla88 (D) potential provided P{h>n}h 0 as n -t - t 00.

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Seminar on Stochastic Processes, 1989 by Richard F. Bass, Krzysztof Burdzy (auth.), E. Çinlar, K. L. Chung, R. K. Getoor, P. J. Fitzsimmons, R. J. Williams (eds.)


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