Download e-book for kindle: Amarts and Set Function Processes by A. Gut, K. D. Schmidt

By A. Gut, K. D. Schmidt

ISBN-10: 3540128670

ISBN-13: 9783540128670

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Extra resources for Amarts and Set Function Processes

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Wahrscheinlichkeitstheorie verw. Gebiete 36, 75-83. , (1953), Stochastic processes. Wiley, New York. A. , (1976a), Amarts: A class of asymptotic martingales. A. Discrete parameter. J. Multivariate Anal. 6, 193-221. A. , (1976b), Amarts: A class of asymptotic martingales. B. Continuous parameter. J. Multivariate Anal. 6, 572-591. A. , (1976c), Les amarts: Une classe de martingales asymptotiques. R. Acad. Sci. Paris, S~r. A 282, 715-718. A. , (1976d), The Riesz decomposition for vectorvalued amarts.

4. 5. Amarts and quasimartingales ............... 6. 7. Remarks 3. 2. 3. Martingales .... 5. 6. Weak 62 69 74 81 89 106 112 a 123 Banach .......................... ................. , .......... 125 136 ....................................... 142 ..................................... 145 .................................... 149 amarts amarts, space processes amarts weak . 4. and ...................................... un{form sequential weak amarts amarts, ........................

A k} (real) will = Q . • • XA , , 80 A map T : ~ > ~U {T=p} holds f o r all for [ Let , and T as w e l l it is b o u n d e d denote with containing F time for F if if the v a l u e ~(~) . Endowed lattice is a s t o p p i n g 6 Fp p 6~ sup~ is finite. {~} ~ := the c l a s s of all b o u n d e d the p o i n t w i s e defined . For each bounded { A£ F I A n { T = p } 6 Fp stopping order, times the c l a s s stopping time for all p6~ T T 6 T } is a , define , as l~(r) := { n q]N [ T < n ) T(T) := { (~£T I T < c } and .

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Amarts and Set Function Processes by A. Gut, K. D. Schmidt


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