杀人
发表于 2025-3-25 06:15:32
On the Rademacher Series-Smith, , and by P. Hitczenko, . We obtain better constants with proofs which can be useful in some other cases. As a corollary we prove a theorem of Kolmogorov on the lower estimates of the tail of sums of symmetric, independent random variables.
SYN
发表于 2025-3-25 11:15:24
On Separability of Families of Reversed Submartingales the associated information function. It turns out that some maximal inequalities are important to be established in this direction. In this paper we show that these inequalities remain valid for suitable chosen modifications of those families. However this result has no practical meaning for statis
Integrate
发表于 2025-3-25 13:17:09
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canonical
发表于 2025-3-25 17:36:30
Some Generalized Martingales Arising from the Strong Law of Large Numbersspace (., || ||) (that Banach space being equipped with its Borel σ — field . ). To that sequence (..) one associates the partial sums : .. = .. + … + .. and the . fields .. generated by ..,…, ... One says that (..) satisfies the weak law of large numbers (WLLN) if ( ||../n|| ) converges to 0 in pro
Palpable
发表于 2025-3-25 23:35:53
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Melodrama
发表于 2025-3-26 02:04:44
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飞镖
发表于 2025-3-26 06:54:28
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 ..
Ventilator
发表于 2025-3-26 10:36:32
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collagenase
发表于 2025-3-26 14:57:41
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.
腼腆
发表于 2025-3-26 17:49:11
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