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Open AccessMediation Analysis using Semi-parametric Shape-Restricted Regression with Applications
Often linear regression is used to estimate mediation effects. In many instances the underlying relationships may not be linear. Although, the exact functional form of the relationship may be unknown, based on...
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Article
Open AccessImproved Test Procedure and Sample Size Calculation for Assessing Similarity in Two-Group Comparative Studies with Heterogeneous Variances
The two one-sided tests (TOST) method for mean equivalence or average equivalence has been extended to assessing similarity or switchability for individual equivalence in clinical trials. Tolerance interval pr...
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Article
Open AccessSome Results on Estimating a Wilcoxon–Mann–Whitney Measure of Effect Size When There are two Covariates
A basic method for characterizing the difference between two independent groups is \(\pi \) π ...
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Article
Open AccessRough Volatility: Fact or Artefact?
We investigate the statistical evidence for the use of ‘rough’ fractional processes with Hurst exponent \(H< 0.5\) ...
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Article
Open AccessGeometric Mean Type of Proportional Reduction in Variation Measure for Two-Way Contingency Tables
Traditional analysis of two-way contingency tables with explanatory and response variables focuses on the independence of two variables. However, if the variables do not show independence or a clear relationsh...
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Article
Open AccessWithin Groups Designs: Inferences Based on A Robust Nonparametric Measure of Effect Size
The paper deals with a robust, projection-type measure of effect size when comparing \(J>1\) ...
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Article
Open AccessTransfer Learning in Genome-Wide Association Studies with Knockoffs
This paper presents and compares alternative transfer learning methods that can increase the power of conditional testing via knockoffs by leveraging prior information in external data sets collected from diff...
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Article
Open AccessDifferent Coefficients for Studying Dependence
Through computer simulations, we research several different measures of dependence, including Pearson’s and Spearman’s correlation coefficients, the maximal correlation, the distance correlation, a function of...
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Article
Open AccessLorenz and Polarization Orderings of the Double-Pareto Lognormal Distribution and Other Size Distributions
Polarization indices such as the Foster-Wolfson index have been developed to measure the extent of clustering in a few classes with wide gaps between them in terms of income distribution. However, Zhang and Ka...
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Article
Open AccessTesting the Validity of a Link Function Assumption in Repeated Type-II Censored General Step-Stress Experiments
In step-stress experiments, test units are successively exposed to higher usually increasing levels of stress to cause earlier failures and to shorten the duration of the experiment. When parameters are associ...
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Article
Open AccessThe Sibling Distribution for Multivariate Life Time Data
A flexible class of multivariate distributions for continuous lifetimes is proposed. The distribution is defined in terms of the age-at-death of m siblings. The expression for the joint density is derived using c...
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Article
Open AccessMoments in Pearson's Four-Step Uniform Random Walk Problem and Other Applications of Very Well-Poised Generalized Hypergeometric Series
This paper considers the representation of odd moments of the distribution of a four-step uniform random walk in even dimensions, which are based on both linear combinations of two constants representable as c...
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Article
Open AccessMarginal Continuation odds Ratio Model and Decomposition of Marginal Homogeneity Model for Multi-way Contingency Tables
For square contingency tables with ordered categories, the marginal homogeneity model is represented by various expressions, and some extensions of the marginal homogeneity model were proposed. Herein we consi...
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Article
Open AccessA Two-sample Nonparametric Test for Circular Data– its Exact Distribution and Performance
A nonparametric test labelled ‘Rao Spacing-frequencies test’ is explored and developed for testing whether two circular samples come from the same population. Its exact distribution and performance relative to...
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Article
Open AccessBivariate Kernel Deconvolution with Panel Data
We consider estimation of the density of a multivariate response, that is not observed directly but only through measurements contaminated by additive error. Our focus is on the realistic sampling case of biva...
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Article
Open AccessDistance-learning For Approximate Bayesian Computation To Model a Volcanic Eruption
Approximate Bayesian computation (ABC) provides us with a way to infer parameters of models, for which the likelihood function is not available, from an observation. Using ABC, which depends on many simulation...
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Open AccessP. C. Mahalanobis in the Context of Current Econometrics Research*