[Abridged] We seek approximations to the cosmic shear covariance that are as easy to use as the common approximations based on normal statistics, but yield more accurate covariance matrices and ...

In this paper we show that binormal operators have nearest normal approximants. In fact, we exhibit nearest normals to such operators and, as a corollary, show that the hermitian part of a binormal ...

Abstract: This paper shows that, under the average error probability formalism, the third-order term in the normal approximation for the additive white Gaussian noise ...

A normal approximation to the null distribution of the likelihood ratio statistic for testing the multivariate general linear hypothesis is developed. This approximation is compared with the ...

Abstract: We have recently proposed a general approach for approximating the power sum of log-normal random variables (RVs) by using the Pearson system of distributions, and then used it for ...

Stein's method has emerged as a powerful and versatile tool in probability theory for deriving error bounds in distributional approximations. Originally developed to ...