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The authors give an approximation method for Bayesian inference in arena model, which is focused on paired comparisons with eliminations and bifurcations. The approximation method simplifies the inference by reducing parameters and…

Methodology · Statistics 2019-11-20 Yutong Nie , Chenhe Zhang

One of the major problems for maximum likelihood estimation in the well-established directional models is that the normalising constants can be difficult to evaluate. A new general method of "score matching estimation" is presented here on…

Statistics Theory · Mathematics 2016-04-29 Kanti V Mardia , John T Kent , Arnab K Laha

Traditional statistical inference considers relatively small data sets and the corresponding theoretical analysis focuses on the asymptotic behavior of a statistical estimator when the number of samples approaches infinity. However, many…

Methodology · Statistics 2013-01-03 Jon Wellner , Tong Zhang

We study mixed models with a single grouping factor, where inference about unknown parameters requires optimizing a marginal likelihood defined by an intractable integral. Low-dimensional numerical integration techniques are regularly used…

Methodology · Statistics 2025-01-22 Alex Stringer , Blair Bilodeau , Yanbo Tang

The paper studies the problem of distributed parameter estimation in multi-agent networks with exponential family observation statistics. A certainty-equivalence type distributed estimator of the consensus + innovations form is proposed in…

Probability · Mathematics 2014-02-04 Soummya Kar , Jose Moura

Multivariate Hawkes processes are commonly used to model streaming networked event data in a wide variety of applications. However, it remains a challenge to extract reliable inference from complex datasets with uncertainty quantification.…

Machine Learning · Statistics 2020-10-29 Haoyun Wang , Liyan Xie , Alex Cuozzo , Simon Mak , Yao Xie

Pairwise models like the Ising model or the generalized Potts model have found many successful applications in fields like physics, biology, and economics. Closely connected is the problem of inverse statistical mechanics, where the goal is…

Disordered Systems and Neural Networks · Physics 2022-01-12 Christoph Feinauer , Carlo Lucibello

In many statistical applications that concern mathematical psychologists, the concept of Fisher information plays an important role. In this tutorial we clarify the concept of Fisher information as it manifests itself across three different…

Statistics Theory · Mathematics 2017-10-18 Alexander Ly , Maarten Marsman , Josine Verhagen , Raoul Grasman , Eric-Jan Wagenmakers

Models with intractable likelihood functions arise in areas including network analysis and spatial statistics, especially those involving Gibbs random fields. Posterior parameter es timation in these settings is termed a doubly-intractable…

Computation · Statistics 2018-10-16 Lampros Bouranis , Nial Friel , Florian Maire

This paper considers inference for conditional moment inequality models using a multiscale statistic. We derive the asymptotic distribution of this test statistic and use the result to propose feasible critical values that have a simple…

Applications · Statistics 2015-12-10 Timothy B. Armstrong , Hock Peng Chan

This paper develops distribution theory and bootstrap-based inference methods for a broad class of convex pairwise difference estimators. These estimators minimize a kernel-weighted convex-in-parameter function over observation pairs with…

Econometrics · Economics 2026-05-29 Matias D. Cattaneo , Michael Jansson , Kenichi Nagasawa

Statistical inference under market equilibrium effects has attracted increasing attention recently. In this paper we focus on the specific case of linear Fisher markets. They have been widely use in fair resource allocation of food/blood…

Econometrics · Economics 2025-02-19 Luofeng Liao , Yuan Gao , Christian Kroer

Statistical modeling of multivariate and spatial extreme events has attracted broad attention in various areas of science. Max-stable distributions and processes are the natural class of models for this purpose, and many parametric families…

Methodology · Statistics 2017-08-09 Clement Dombry , Sebastian Engelke , Marco Oesting

Statistical matching is a technique for integrating two or more data sets when information available for matching records for individual participants across data sets is incomplete. Statistical matching can be viewed as a missing data…

Methodology · Statistics 2015-10-14 Jae-kwang Kim , Emily Berg , Taesung Park

Various statistical tests have been developed for testing the equality of means in matched pairs with missing values. However, most existing methods are commonly based on certain distributional assumptions such as normality, 0-symmetry or…

Statistics Theory · Mathematics 2016-03-02 Lubna Amro , Markus Pauly

Averaging the parameters of models that have the same architecture and initialization can provide a means of combining their respective capabilities. In this paper, we take the perspective that this "merging" operation can be seen as…

Machine Learning · Computer Science 2022-08-29 Michael Matena , Colin Raffel

We consider a class of optimization problems that are fundamental to testing in modern configurable software systems, e.g., in automotive industries. In pairwise interaction sampling, we are given a (potentially very large) configuration…

Data Structures and Algorithms · Computer Science 2025-10-08 Sándor P. Fekete , Phillip Keldenich , Dominik Krupke , Michael Perk

The task of ranking individuals or teams, based on a set of comparisons between pairs, arises in various contexts, including sporting competitions and the analysis of dominance hierarchies among animals and humans. Given data on which…

Machine Learning · Statistics 2022-10-21 M. E. J. Newman

We propose a sampling algorithm to perform system identification from a set of input-output graph signal pairs. The dynamics of the systems we study are given by a partially known adjacency matrix and a generic parametric graph filter of…

Signal Processing · Electrical Eng. & Systems 2024-01-01 Martín Sevilla , Santiago Segarra

A central issue of many statistical learning problems is to select an appropriate model from a set of candidate models. Large models tend to inflate the variance (or overfitting), while small models tend to cause biases (or underfitting)…

Statistics Theory · Mathematics 2020-12-25 Jie Ding , Enmao Diao , Jiawei Zhou , Vahid Tarokh