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We provide a general condition under which e-variables in the form of a simple-vs.-simple likelihood ratio exist when the null hypothesis is a composite, multivariate exponential family. Such `simple' e-variables are easy to compute and…

统计方法学 · 统计学 2025-04-02 Peter Grünwald , Tyron Lardy , Yunda Hao , Shaul K. Bar-Lev , Martijn de Jong

We consider conditional tests for non-negative discrete exponential families. We develop two Markov Chain Monte Carlo (MCMC) algorithms which allow us to sample from the conditional space and to perform approximated tests. The first…

统计计算 · 统计学 2017-07-27 Roberto Fontana , Francesca Romana Crucinio

We introduce the E-measure: a measure-like generalization of the E-value to a class of hypotheses. Unlike classical measures, E-measures are closed under infimums instead of addition. They arise from a compatibility axiom with logical…

统计理论 · 数学 2026-04-23 Nick W. Koning

This paper proposes a family of weighted batch means variance estimators, which are computationally efficient and can be conveniently applied in practice. The focus is on Markov chain Monte Carlo simulations and estimation of the asymptotic…

统计理论 · 数学 2018-05-23 Ying Liu , James M. Flegal

A martingale framework for concept change detection based on testing data exchangeability was recently proposed (Ho, 2005). In this paper, we describe the proposed change-detection test based on the Doob's Maximal Inequality and show that…

机器学习 · 计算机科学 2012-07-09 Shen-Shyang Ho , Harry Wechsler

Hypothesis tests based on linear models are widely accepted by organizations that regulate clinical trials. These tests are derived using strong assumptions about the data-generating process so that the resulting inference can be based on…

应用统计 · 统计学 2018-09-13 Kellie Ottoboni , Fraser Lewis , Luigi Salmaso

There has been much interest in the nonparametric testing of conditional independence in the econometric and statistical literature, but the simplest and potentially most useful method, based on the sample partial correlation, seems to have…

统计理论 · 数学 2020-05-27 Wicher Bergsma

Model-based mutation testing uses altered test models to derive test cases that are able to reveal whether a modelled fault has been implemented. This requires conformance checking between the original and the mutated model. This paper…

软件工程 · 计算机科学 2012-02-29 Bernhard K. Aichernig , Elisabeth Jöbstl

We discuss how maximum entropy methods may be applied to the reconstruction of Markov processes underlying empirical time series and compare this approach to usual frequency sampling. It is shown that, at least in low dimension, there…

风险管理 · 定量金融 2015-06-23 Gregor Chliamovitch , Alexandre Dupuis , Bastien Chopard , Anton Golub

The basic motivation and primary goal of this paper is a qualitative evaluation of the performance of a new weighted statistic for a nonparametric test for stochastic dominance based on two samples, which was introduced in Ledwina and…

统计理论 · 数学 2018-06-07 Inglot Tadeusz , Ledwina Teresa , Ćmiel Bogdan

The beta-negative binomial process (BNBP), an integer-valued stochastic process, is employed to partition a count vector into a latent random count matrix. As the marginal probability distribution of the BNBP that governs the exchangeable…

统计方法学 · 统计学 2015-01-05 Mingyuan Zhou

We consider tests of hypotheses when the parameters are not identifiable under the null in semiparametric models, where regularity conditions for profile likelihood theory fail. Exponential average tests based on integrated profile…

统计理论 · 数学 2009-08-25 Rui Song , Michael R. Kosorok , Jason P. Fine

In this paper, we propose a class of efficient, accurate, and general methods for solving state-estimation problems with equality and inequality constraints. The methods are based on recent developments in variable splitting and partially…

最优化与控制 · 数学 2020-12-02 Rui Gao , Filip Tronarp , Simo Särkkä

In this paper, in order to test whether changes have occurred in a nonlinear parametric regression, we propose a nonparametric method based on the empirical likelihood. Firstly, we test the null hypothesis of no-change against the…

统计理论 · 数学 2014-05-22 Gabriela Ciuperca , Zahraa Salloum

The gold standard for identifying causal relationships is a randomized controlled experiment. In many applications in the social sciences and medicine, the researcher does not control the assignment mechanism and instead may rely upon…

应用统计 · 统计学 2016-11-22 Johann Gagnon-Bartsch , Yotam Shem-Tov

We argue for the use of separate exchangeability as a modeling principle in Bayesian nonparametric (BNP) inference. Separate exchangeability is de facto widely applied in the Bayesian parametric case, e.g., it naturally arises in simple…

统计方法学 · 统计学 2025-07-29 Giovanni Rebaudo , Qiaohui Lin , Peter Mueller

Mean time to failure in age replacement evaluates the performance and effectiveness of the age replacement policy. In this paper, we propose a test for exponentiality against a trend change in mean time to failure in age replacement. We…

统计理论 · 数学 2018-10-30 Muhyiddin Izadi , Sirous Fathimanesh

We propose an e-value based framework for testing arbitrary composite nulls against composite alternatives, when an $\epsilon$ fraction of the data can be arbitrarily corrupted. Our tests are inherently sequential, being valid at arbitrary…

统计方法学 · 统计学 2025-12-25 Aytijhya Saha , Aaditya Ramdas

Let $\Om$ be a Borel subset of $S^\Bbb N$ where $S$ is countable. A measure is called exchangeable on $\Om$, if it is supported on $\Om$ and is invariant under every Borel automorphism of $\Om$ which permutes at most finitely many…

动力系统 · 数学 2015-06-26 J. Aaronson , H. Nakada , O. Sarig

Permutation tests date back nearly a century to Fisher's randomized experiments, and remain an immensely popular statistical tool, used for testing hypotheses of independence between variables and other common inferential questions. Much of…

统计方法学 · 统计学 2022-12-05 Aaditya Ramdas , Rina Foygel Barber , Emmanuel J. Candes , Ryan J. Tibshirani