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Following Fisher, it is widely believed that randomization "relieves the experimenter from the anxiety of considering innumerable causes by which the data may be disturbed." In particular, it is said to control for known and unknown…

统计方法学 · 统计学 2017-10-02 Uwe Saint-Mont

In this article, we discuss a bivariate distribution whose conditionals are univariate binomial distributions and the marginals are not binomial that exhibits negative correlation. Some useful structural properties of this distribution…

统计方法学 · 统计学 2023-01-10 Indranil Ghosh , Filipe Marques , Subrata Chakraborty

Data from both a randomized trial and an observational study are sometimes simultaneously available for evaluating the effect of an intervention. The randomized data typically allows for reliable estimation of average treatment effects but…

统计方法学 · 统计学 2021-12-01 David Cheng , Tianxi Cai

An important task in data analysis is the discovery of causal relationships between observed variables. For continuous-valued data, linear acyclic causal models are commonly used to model the data-generating process, and the inference of…

We introduce equivalence testing procedures for linear regression analyses. Such tests can be very useful for confirming the lack of a meaningful association between a continuous outcome and a continuous or binary predictor. Specifically,…

统计方法学 · 统计学 2023-05-17 Harlan Campbell

We establish a sprinkled decoupling inequality for increasing events of Gaussian vectors with an error that depends only on the maximum pairwise correlation. As an application we prove the non-triviality of the percolation phase transition…

概率论 · 数学 2023-07-18 Stephen Muirhead

Bayesian analyses require that all variable model parameters are given a prior probability distribution. This can pose a challenge for analyses where multiple experiments are combined if these experiments use different parametrisations for…

统计方法学 · 统计学 2026-03-13 Lukas Koch

The analysis of the linearization effect in multifractal analysis, and hence of the estimation of moments for multifractal processes, is revisited borrowing concepts from the statistical physics of disordered systems, notably from the…

统计力学 · 物理学 2011-07-28 Florian Angeletti , Marc Mézard , Eric Bertin , Patrice Abry

Post-randomization events, also known as intercurrent events, such as treatment noncompliance and censoring due to a terminal event, are common in clinical trials. Principal stratification is a framework for causal inference in the presence…

统计方法学 · 统计学 2023-01-19 Bo Liu , Lisa Wruck , Fan Li

To investigate intervention effects on rare events, meta-analysis techniques are commonly applied in order to assess the accumulated evidence. When it comes to adverse effects in clinical trials, these are often most adequately handled…

统计方法学 · 统计学 2026-04-03 Christian Röver , Qiong Wu , Anja Loos , Tim Friede

Testing for causation, defined as the preceding impact of the past values of one variable on the current value of another one when all other pertinent information is accounted for, is increasingly utilized in empirical research of the…

计量经济学 · 经济学 2021-06-22 Abdulnasser Hatemi-J

We consider the conditional randomization test as a way to account for covariate imbalance in randomized experiments. The test accounts for covariate imbalance by comparing the observed test statistic to the null distribution of the test…

We outline how modern likelihood theory, which provides essentially exact inferences in a variety of parametric statistical problems, may routinely be applied in practice. Although the likelihood procedures are based on analytical…

统计方法学 · 统计学 2009-06-23 Alessandra R. Brazzale , Anthony C. Davison

When engagement with a randomized trial is driven by factors that affect the outcome or when trial engagement directly affects the outcome independent of treatment, the average treatment effect among trial participants is unlikely to…

统计方法学 · 统计学 2019-06-27 Issa J. Dahabreh , James M. Robins , Sebastien J-P. A. Haneuse , Miguel A. Hernán

Complex systems are typically represented by large ensembles of observations. Correlation matrices provide an efficient formal framework to extract information from such multivariate ensembles and identify in a quantifiable way patterns of…

数据分析、统计与概率 · 物理学 2011-06-03 Stanislaw Drozdz , Jaroslaw Kwapien , Andreas A. Ioannides

Define the scaled empirical point process on an independent and identically distributed sequence $\{Y_i: i\le n\}$ as the random point measure with masses at $a_n^{-1} Y_i$. For suitable $a_n$ we obtain the weak limit of these point…

概率论 · 数学 2016-08-16 André Dabrowski , Gail Ivanoof , Rafal Kulik

Critical phenomena in non-equilibrium systems have been studied by means of a wide variety of theoretical and experimental approaches. Mode-coupling, renormalization group, complex Lie algebras and diagrammatic techniques are some of the…

统计力学 · 物理学 2015-05-13 Enrique Hernandez-Lemus , Leopoldo S. Garcia-Colin

Overlap between treatment groups is required for non-parametric estimation of causal effects. If a subgroup of subjects always receives the same intervention, we cannot estimate the effect of intervention changes on that subgroup without…

机器学习 · 计算机科学 2021-03-04 Michael Oberst , Fredrik D. Johansson , Dennis Wei , Tian Gao , Gabriel Brat , David Sontag , Kush R. Varshney

On a high-frequency scale the time series are not homogeneous, therefore standard correlation measures can not be directly applied to the raw data. There are two ways to deal with this problem. The time series can be homogenised through an…

统计力学 · 物理学 2016-08-31 Ovidiu Precup , Giulia Iori

There are some papers which describe the use of bootstrap techniques in point process statistics. The aim of the present paper is to show that the form in which bootstrap is used there is dubious. In case of variance estimation of pair…

统计理论 · 数学 2008-11-26 Martin Snethlage
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