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We introduce two novel non-parametric statistical hypothesis tests. The first test, called the relative test of dependency, enables us to determine whether one source variable is significantly more dependent on a first target variable or a…

Artificial Intelligence · Computer Science 2016-11-18 Wacha Bounliphone , Eugene Belilovsky , Arthur Tenenhaus , Ioannis Antonoglou , Arthur Gretton , Matthew B. Blashcko

We develop stochastic variational inference, a scalable algorithm for approximating posterior distributions. We develop this technique for a large class of probabilistic models and we demonstrate it with two probabilistic topic models,…

Machine Learning · Statistics 2013-04-24 Matt Hoffman , David M. Blei , Chong Wang , John Paisley

We study stochastic ordering of system lifetimes with dependent and heterogeneous components whose marginal distributions are obtained through transformations of a common baseline. The dependence structure is modeled via Archimedean…

Probability · Mathematics 2026-04-30 Idir Arab , Milto Hadjikyriakou , Paulo Eduardo Oliveira

The biastest command in Stata is a powerful and user-friendly tool designed to compare the coefficients of different regression models, enabling researchers to assess the robustness and consistency of their empirical findings. This command…

Econometrics · Economics 2025-06-19 Hasraddin Guliyev

Researchers often misinterpret and misrepresent statistical outputs. This abuse has led to a large literature on modification or replacement of testing thresholds and $P$-values with confidence intervals, Bayes factors, and other devices.…

Methodology · Statistics 2020-10-02 Zad Rafi , Sander Greenland

In this paper we introduce a robust to outliers Wilcoxon change-point testing procedure, for distinguishing between short-range dependent time series with a change in mean at unknown time and stationary long-range dependent time series. We…

Methodology · Statistics 2020-07-07 Carina Gerstenberger

We develop the information-theoretical concepts required to study the statistical dependencies among three variables. Some of such dependencies are pure triple interactions, in the sense that they cannot be explained in terms of a…

Computation and Language · Computer Science 2015-09-02 Damián G. Hernández , Damián H. Zanette , Inés Samengo

Conditional independence testing is a key problem required by many machine learning and statistics tools. In particular, it is one way of evaluating the usefulness of some features on a supervised prediction problem. We propose a novel…

Machine Learning · Statistics 2019-08-02 Marco Henrique de Almeida Inácio , Rafael Izbicki , Rafael Bassi Stern

This paper develops a novel unified framework for testing mutual independence among random objects residing in possibly different metric spaces. The framework generalizes existing methodologies and introduces new measures of mutual…

Methodology · Statistics 2025-10-22 Yaqing Chen , Paromita Dubey

It is increasingly common to collect pre-post data with pseudonyms or self-constructed identifiers. On survey responses from sensitive populations, identifiers may be made optional to encourage higher response rates. The ability to match…

Methodology · Statistics 2023-12-25 Raymond Pomponio , Bailey K. Fosdick , Julia Wrobel , Ryan A. Peterson

Total probability and Bayes formula are two basic tools for using prior information in the Bayesian statistics. In this paper we introduce an alternative tool for using prior information. This new toold enables us to improve some…

Mathematical Physics · Physics 2009-11-10 Adel Mohammadpour , Ali Mohammad-Djafari

Most keystroke dynamics studies have been evaluated using a specific kind of dataset in which users type an imposed login and password. Moreover, these studies are optimistics since most of them use different acquisition protocols, private…

Machine Learning · Computer Science 2012-07-04 Romain Giot , Mohamad El-Abed , Christophe Rosenberger

Robustness of linear systems with constant coefficients is considered. There exist methods and tools for analyzing the stability of systems with random or deterministic uncertainties. At the same time, there are no approaches for the…

Optimization and Control · Mathematics 2020-12-08 Andrey Tremba

Detecting and locating changes in highly multivariate data is a major concern in several current statistical applications. In this context, the first contribution of the paper is a novel non-parametric two-sample homogeneity test for…

Statistics Theory · Mathematics 2012-02-13 Alexandre Lung-Yut-Fong , Céline Lévy-Leduc , Olivier Cappé

Conditional specification of distributions is a developing area with increasing applications. In the finite discrete case, a variety of compatible conditions can be derived. In this paper, we propose an alternative approach to study the…

Statistics Theory · Mathematics 2017-11-03 Indranil Ghosh , Saralees Nadarajah

Measuring the statistical dependence between observed signals is a primary tool for scientific discovery. However, biological systems often exhibit complex non-linear interactions that currently cannot be captured without a priori knowledge…

Estimating consumer preferences is central to many problems in economics and marketing. This paper develops a flexible framework for learning individual preferences from partial ranking information by interpreting observed rankings as…

Machine Learning · Statistics 2026-02-19 Yu-Chang Chen , Chen Chian Fuh , Shang En Tsai

A new family of nonparametric statistics, the r-statistics, is introduced. It consists of counting the number of records of the cumulative sum of the sample. The single-sample r-statistic is almost as powerful as Student's t-statistic for…

Methodology · Statistics 2015-07-14 Damien Challet

We introduce a simple but powerful technique to study processes driven by two or more reinforcement mechanisms in competition. We apply our method to two types of models: to non conservative zero range processes on finite graphs, and to…

Probability · Mathematics 2022-06-30 Dirk Erhard , Guilherme Reis

We consider the problem of bounding large deviations for non-i.i.d. random variables that are allowed to have arbitrary dependencies. Previous works typically assumed a specific dependence structure, namely the existence of independent…

Probability · Mathematics 2018-11-06 Christoph H. Lampert , Liva Ralaivola , Alexander Zimin
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