2 citations · 5 across the 4 of their papers we have counts for
4 papers
Optimal L-bounds for submartingales
Lutz Mattner, Uwe Rösler
The optimal function satisfying $$ \mathbb{E} |\sum_{1}^n X_i | \ge f(\mathrbb{E}|X_1|,...,\mathbb{E}|X_n|) $$ for every martingale is sho…
Sums of norm spheres are norm shells and lower triangle inequalities are sharp
Lutz Mattner
The statements in the title are explained and proved, as a little exercise in elementary normed vector space theory at the level of Chapter 5 of Dieudonné's "Foundations of Mathema…
One optional observation inflates by per cent
Lutz Mattner
For one-sample level tests based on independent observations , we prove an asymptotic formula for the actual level of the test rejecting if at least one of t…
Lower bounds for tails of sums of independent symmetric random variables
Lutz Mattner
The approach of Kleitman (1970) and Kanter (1976) to multivariate concentration function inequalities is generalized in order to obtain for deviation probabilities of sums of indep…