Subhankar Ghosh

activity

20092013

most citedMultivariate Concentration Inequalities with Size Biased Couplings

4 citations · 6 across the 5 of their papers we have counts for

collaborators

5 papers

math.PR2013★ 4 cited

Multivariate Concentration Inequalities with Size Biased Couplings

Subhankar Ghosh, Umit Islak

Let $W = (W_{1}, W_{2}, ..., W_{k})$ be a random vector with nonnegative coordinates having nonzero and finite variances. We prove concentration inequalities for $W$ using s…

math.PR2011

Concentration of measure for the number of isolated vertices in the Erdős-Rényi random graph by size bias couplings

Subhankar Ghosh, Larry Goldstein, Martin Raic

A concentration of measure result is proved for the number of isolated vertices $Y$ in the Erdős-Rényi random graph model on $n$ edges with edge probability $p$ . When $μ$ and $σ^{2}$ …

math.PR2010

Multivariate concentration of measure type results using exchangeable pairs and size biasing

Subhankar Ghosh

Let $(W, W^{'})$ be an exchangeable pair of vectors in $R^{k}$ . Suppose this pair satisfies \beas E(\mathbf{W}'|\mathbf{W})=(I_k-Λ)\mathbf{W}+\mathbf{R(W)}. \enas If $|…

math.PR2009★ 2 cited

Concentration of measures via size biased couplings

Subhankar Ghosh, Larry Goldstein

Let $Y$ be a nonnegative random variable with mean $μ$ and finite positive variance $σ^{2}$ , and let $Y^{s}$ , defined on the same space as $Y$ , have the $Y$ size biased distribution, t…

math.PR2009

$L^{p}$ bounds for a central limit theorem with involutions

Subhankar Ghosh

Let $E = ((e_{ij}))_{n \times n}$ be a fixed array of real numbers such that $e_{ij} = e_{j i}, e_{ii} = 0$ for $1 \leq i, j \leq n$ . Let the permutation group be denoted by $S_{n}$ and the coll…

Multivariate Concentration Inequalities with Size Biased Couplings

Concentration of measure for the number of isolated vertices in the Erdős-Rényi random graph by size bias couplings

Multivariate concentration of measure type results using exchangeable pairs and size biasing

Concentration of measures via size biased couplings

Lp bounds for a central limit theorem with involutions

$L^{p}$ bounds for a central limit theorem with involutions