V. Bentkus

activity

20092013

most citedA tight Gaussian bound for weighted sums of Rademacher random variables

26 citations · 44 across the 3 of their papers we have counts for

collaborators

3 papers

math.PR2013★ 26 cited

A tight Gaussian bound for weighted sums of Rademacher random variables

Vidmantas Kastytis Bentkus, Dainius Dzindzalieta

Let $ε_{1}, \dots, ε_{n}$ be independent identically distributed Rademacher random variables, that is $P {ε_{i} = \pm 1} = 1/2$ . Let $S_n=a_1\varepsilon…

math.PR2011

Bounds for tail probabilities of martingales using skewness and kurtosis

Vidmantas Bentkus, Tomas Juškevičius

Let $M_n= \fsu X1n$ be a sum of independent random variables such that $X_{k} \leq 1$ , $\E X_k =0$ and $\E X_k^2=\s_k^2$ for all $k$ . Hoeffding 1963, Theorem 3, proved that $$¶{M_n \…

math.PR2009★ 18 cited

On normal approximations to $U$ -statistics

Vidmantas Bentkus, Bing-Yi Jing, Wang Zhou

Let $X_{1}, ..., X_{n}$ be i.i.d. random observations. Let $S = L + T$ be a $U$ -statistic of order $k \geq 2$ where $L$ is a linear statistic having asympt…

A tight Gaussian bound for weighted sums of Rademacher random variables

Bounds for tail probabilities of martingales using skewness and kurtosis

On normal approximations to U-statistics

On normal approximations to $U$ -statistics