Measures with zeros in the inverse of their moment matrix

Asymptotic expansion for inverse moments of binomial and Poisson distributions

An asymptotic expansion for inverse moments of positive binomial and Poisson distributions is derived. The expansion coefficients of the asymptotic series are given by the positive central moments of the distribution. Compared to previous results, a single expansion formula covers all (also non-integer) inverse moments. In addition, the approach can be generalized to other positive distributions.

Inverse M-matrix, a new characterization

In this article we present a new characterization of inverse M-matrices, inverse row diagonally dominant M-matrices and inverse row and column diagonally dominant M-matrices, based on the positivity of certain inner products.

复兴伪逆：大规模维度下Moore-Penrose和岭型逆的渐近性质及其应用

Reviving pseudo-inverses: Asymptotic properties of large dimensional Moore-Penrose and Ridge-type inverses with applications

本文研究了大规模维度下Moore-Penrose和岭型逆的渐近性质，提出了一种通用方法用于构建改进的收缩估计器，适用于精度矩阵和投资组合权重等应用。

高斯乘性混沌的逆：矩

Inverse of the Gaussian multiplicative chaos: Moments

本文系统研究了高斯乘性混沌逆过程的一般性质与单点矩，为该领域提供了理论基础。

The Derivation of Markov Chain Properties using Generalized Matrix Inverses

The analysis of many problems of interest associated with Markov chains, e.g. stationary distributions, moments of first passage time distributions and moments of occupation time random variables, involves the solution of a system of linear equations involving I - P, where P is the transition matrix of a finite, irreducible, discrete time Markov chain. Generalized inverses play an important role in the solution of such singular sets of equations. In this presentation we survey the application of generalized matrix inverses to the aforementioned problems.

Moments of inverses of $(m,n,β)$-Laguerre matrices

Wishart matrices are one of the fundamental matrix models in multivariate statistics. We consider the classical $(m,n,β)$-Laguerre ensemble and give a necessary and sufficient condition for finite moments for the inverse of $(m,n,β)$-Laguerre matrices to exist. We extend the result to inverse compound Wishart matrices for the values of $β= 1$ and $2$. Our result complements the result by Letac and Massam [6], Matsumoto [7] and Collins et al. [1].