Download Uniform Scalar Integrability and Strong Laws of Large by Castaing C., de Fitte P.R. PDF

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By Castaing C., de Fitte P.R.

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Extra info for Uniform Scalar Integrability and Strong Laws of Large Numbers for Pettis Integrable Functions with Values in a Separable Locally Convex Space

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P. R. (1974). Topology and Borel Structure, North-Holland, Amsterdam, London. 12. , and Totik, V. (1983). On the strong law of large numbers for pairwise independent random variables. Acta Math. Hung. 42, 319 330. 13. Cuesta, J. , and Matran, C. (1988). Strong convergence of weighted sums of random elements through the equivalence of sequences of distributions. J. Multivar. Anal. 25, 311 322. 14. Cuesta, J. , and Matran, C. (1992). A review on strong convergence of weighted sums of random elements based on Wasserstein metrics.

37. Prokhorov, Y. V. (1956). Convergence of random processes and limit theorems in probability theory. Theory Prob. Appl. 1, 157 214. 38. Rachev, S. T. (1991). Probability Metrics and the Stability of Stochastic Models, John Wiley, Chichester, New York. 39. Schaefer, H. H. (1966). Topological Vector Spaces, Macmillan, New York. 40. Schwartz, L. (1973). Radon measures on arbitrary topological spaces and cylindrical measures, Tata Institute of Fundamental Research Studies in Mathematics, Oxford University Press, London.

26. Jakubowski, A. (1997). The almost sure Skorokhod representation for subsequences in nonmetric spaces. Theor. Prob. , pp. 209 216. 134 Castaing and Raynaud de Fitte 27. Jirina, M. (1959). On regular conditional probabilities. Czechoslovak Math. J. 9, 445 451. 28. Kelley, J. L. (1955). General Topology, Springer-Verlag, Berlin. 29. Krasnoselki@$ , M. , and Ruticki@$ , Y. B. (1961). Convex Functions and Orlicz Spaces, P. Nordhoff Ltd. Groningen. 30. LoeƁve, M. (1963). Probability Theory, Third Edition, Van Nostrand, Princeton, New Jersey.

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