72 citations · 124 across the 4 of their papers we have counts for
4 papers
Bounds on the constant in the mean central limit theorem
Larry Goldstein
Let be independent with zero means, finite variances and finite absolute third moments. Let be the distribution function of $(X_1+\...+X_n)/…
A Statistical Characterization of Regular Simplices
Ian Abramson, Larry Goldstein
The positive interpoint distances of n=p+1>1 points in dimension p are equal if and only if their sample covariance matrix is a scalar multiple of the identity.
Berry Esseen bounds for combinatorial central limit theorems and pattern occurrences, using zero and size biasing
Larry Goldstein
Berry Esseen type bounds to the normal, based on zero- and size-bias couplings, are derived using Stein's method. The zero biasing bounds are illustrated with an application to com…
Zero biasing and a discrete central limit theorem
Larry Goldstein, Aihua Xia
We introduce a new family of distributions to approximate for and a sum of independent integer-valued random variables $…