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A unified approach to permutation testing for equivalence
The notion of testing for equivalence of two treatments is widely used in clinical trials, pharmaceutical experiments, bioequivalence and quality...
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Voting Rights, Markov Chains, and Optimization by Short Bursts
Finding outlying elementsin probability distributions can be a hard problem. Taking a real example from Voting Rights Act enforcement, we consider...
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Causal modelling of heavy-tailed variables and confounders with application to river flow
Confounding variables are a recurrent challenge for causal discovery and inference. In many situations, complex causal mechanisms only manifest...
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Louse Evolution
In a 2019 paper published in the Proceedings of the National Academy of the U.S., Villa et al. make the following claim:...
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Unit Root Test Combination via Random Forests
There is a wide variety of non-seasonal and seasonal unit root tests. However, it is not always obvious which tests can be relied upon due to...
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Measures of Interval Association
Chapter 8 describes connections, equivalencies, and relationships relating to bivariate linear correlation and...
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Permutation based testing on covariance separability
Separability is an attractive feature of covariance matrices or matrix variate data, which can improve and simplify many multivariate procedures. Due...
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Robust Response Transformations for Generalized Additive Models via Additivity and Variance Stabilization
The AVAS (Additivity And Variance Stabilization) algorithm of Tibshirani provides a non-parametric transformation of the response in a linear model...
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The exact equivalence of distance and kernel methods in hypothesis testing
Distance correlation and Hilbert-Schmidt independence criterion are widely used for independence testing, two-sample testing, and many inference...
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The Minimax Principle
The criteria discussed so far, unbiasedness and invariance, suffer from the disadvantage of being applicable, or leading to optimum solutions, only...
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Unbiasedness: Applications to Normal Distributions; Confidence Intervals
A general expression for the UMP unbiased testsUMP unbiased testfor multiparameter exponential families of the hypotheses...
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Measures of Association
This chapter starts with a discussion on the historical development of correlation coefficients. It then discusses the population and sample...
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Selected Applications in Statistics
In this chapter, we consider some applications in statistics that use vectors and matrices. Vectors and matrices correspond naturally to the standard...
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Order patterns, their variation and change points in financial time series and Brownian motion
Order patterns and permutation entropy have become useful tools for studying biomedical, geophysical or climate time series. Here we study day-to-day...
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Learning the Temporally-Evolving Evolution-Driving Function of a Dynamical System, to Forecast Future States: Forecasting New COVID19 Infection Numbers
A new method of forecasting future states of a generic dynamical system is provided in this chapter. We advocate a method for the supervised learning...
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Population (Hierarchical) Models
Simple hierarchical (or population) models for multilevel data, in particular in the case of a multicenter study, are introduced. A hierarchical...
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Evidence Factors
An observational study has two evidence factors if it permits two essentially independent tests of the null hypothesis of no treatment effect, where...
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Completely-Randomized Designs
This chapter introduces permutation methods for multiple independent variables; that is, completely-randomized designs. Included in this chapter are...
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On connections between skewed, weighted and distorted distributions: applications to model extreme value distributions
The purpose of the paper is to explore the connections between skew symmetric, weighted and distorted univariate distributions as well as how they...
