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Titlebook: Probability in Banach Spaces, 9; Jørgen Hoffmann-Jørgensen,James Kuelbs,Michael B. Conference proceedings 1994 Springer Science+Business

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Sharp Exponential Inequalities for the Martingales in the 2-Smooth Banach Spaces and Applications to “Scalarizing” Decouplingqualities in terms of the sums of conditional moments of the martingale differences, rather than in terms of the .. norm of such sums. The results are believed to be new even in the particular case of the Hilbert spaces.
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https://doi.org/10.1007/978-1-4612-0253-0Ergodic theory; Estimator; Gaussian measure; Law of large numbers; Likelihood; Martingale; Median; Random v
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On the Central Limit Theorem for Multiparameter Stochastic Processesple paths are right-continuous and have left-limits. These criteria have been applied by Bezandry and Fernique, Bloznelis and Paulauskas to prove the central limit theorem (CLT) in the Skorohod space .[0,1].
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A Weighted Central Limit Theorem for a Function-Indexed Sum with Random Point Masses for a functional central limit theorem for weighted sums of the form . where . = (ξ..,j = ., …. = 1, 2, …) is a triangular array of row-independent random variables, and X., …, .. are sampled iid and independent of . from P.
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