162 citations · 840 across the 63 of their papers we have counts for
7 papers · 1 filter
Goodness-of-fit via Count Statistics in Dense Random Simplicial Complexes
Tadas Temčinas, Vidit Nanda, Gesine Reinert
A key object of study in stochastic topology is a random simplicial complex. In this work we study a multi-parameter random simplicial complex model, where the probability of inclu…
Normal approximation for the posterior in exponential families
Adrian Fischer, Robert E. Gaunt, Gesine Reinert +1
In this paper, we obtain quantitative, non-asymptotic, and data-dependent \textit{Bernstein-von Mises type} bounds on the normal approximation of the posterior distribution in expo…
Bounds for the chi-square approximation of Friedman's statistic by Stein's method
Robert E. Gaunt, Gesine Reinert
Friedman's chi-square test is a non-parametric statistical test for treatments across trials to assess the null hypothesis that there is no treatment effect. We us…
Estimating the correlation in network disturbance models
A. D. Barbour, Gesine Reinert
The Network Disturbance Model of Doreian (1989) expresses the dependency between observations taken at the vertices of a network by modelling the correlation between neighbouring v…
Relaxing the Gaussian assumption in Shrinkage and SURE in high dimension
Max Fathi, Larry Goldstein, Gesine Reinert +1
Shrinkage estimation is a fundamental tool of modern statistics, pioneered by Charles Stein upon his discovery of the famous paradox involving the multivariate Gaussian. A large po…
Bounds for the asymptotic distribution of the likelihood ratio
Andreas Anastasiou, Gesine Reinert
In this paper we give an explicit bound on the distance to chisquare for the likelihood ratio statistic when the data are realisations of independent and identically distributed ra…