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Phase II dose finding studies in clinical drug development are typically conducted to adequately characterize the dose response relationship of a new drug. An important decision is then on the choice of a suitable dose response function to…

Applications · Statistics 2015-08-04 Kirsten Schorning , Björn Bornkamp , Frank Bretz , Holger Dette

Motivated by challenges in the analysis of biomedical data and observational studies, we develop statistical boosting for the general class of bivariate distributional copula regression with arbitrary marginal distributions, which is suited…

Methodology · Statistics 2024-03-05 Guillermo Briseño Sanchez , Nadja Klein , Hannah Klinkhammer , Andreas Mayr

Current approaches to A/B testing in networks focus on limiting interference, the concern that treatment effects can "spill over" from treatment nodes to control nodes and lead to biased causal effect estimation. Prominent methods for…

Machine Learning · Computer Science 2020-04-16 Zahra Fatemi , Elena Zheleva

In this paper, we focus on stochastic comparisons of extreme order statistics stemming from multiple-outlier scale models with dependence. Archimedean copula is used to model dependence structure among nonnegative random variables.…

Statistics Theory · Mathematics 2020-12-16 Sangita Das , Suchandan Kayal

We generalize 2-Wasserstein dependence coefficients to measure dependence between a finite number of random vectors. This generalization includes theoretical properties, and in particular focuses on an interpretation of maximal dependence…

Methodology · Statistics 2024-04-11 Steven De Keyser , Irene Gijbels

Randomized experiments are the gold standard for estimating the causal effects of an intervention. In the simplest setting, each experimental unit is randomly assigned to receive treatment or control, and then the outcomes in each treatment…

Methodology · Statistics 2020-06-05 Guillaume Basse , Yi Ding , Panos Toulis

We propose a scalable algorithmic framework for exact Bayesian variable selection and model averaging in linear models under the assumption that the Gram matrix is block-diagonal, and as a heuristic for exploring the model space for general…

Computation · Statistics 2017-01-04 Omiros Papaspiliopoulos , David Rossell

We introduce a novel perspective by linking ordered probabilistic choice to copula theory, a mathematical framework for modeling dependencies in multivariate distributions. Each representation of ordered probabilistic choice behavior can be…

Theoretical Economics · Economics 2025-07-10 Christopher P. Chambers , Yusufcan Masatlioglu , Kemal Yildiz

Simulation offers a simple and flexible way to estimate the power of a clinical trial when analytic formulae are not available. The computational burden of using simulation has, however, restricted its application to only the simplest of…

Modeling of high order multivariate probability distribution is a difficult problem which occurs in many fields. Copula approach is a good choice for this purpose, but the curse of dimensionality still remains a problem. In this paper we…

Statistics Theory · Mathematics 2010-09-16 Edith Kovacs , Tamas Szantai

This paper studies a two-stage model of experimentation, where the researcher first samples representative units from an eligible pool, then assigns each sampled unit to treatment or control. To implement balanced sampling and assignment,…

Econometrics · Economics 2023-08-22 Max Cytrynbaum

Modeling the ratio of two dependent components as a function of covariates is a frequently pursued objective in observational research. Despite the high relevance of this topic in medical studies, where biomarker ratios are often used as…

Methodology · Statistics 2023-12-04 Moritz Berger , Nadja Klein , Michael Wagner , Matthias Schmid

This paper discusses the problem of determining optimal designs for regression models, when the observations are dependent and taken on an interval. A complete solution of this challenging optimal design problem is given for a broad class…

Methodology · Statistics 2015-02-25 Holger Dette , Andrey Pepelyshev , Anatoly Zhigljavsky

We consider design issues for toxicology studies when we have a continuous response and the true mean response is only known to be a member of a class of nested models. This class of non-linear models was proposed by toxicologists who were…

Statistics Theory · Mathematics 2010-11-29 Holger Dette , Andrey Pepelyshev , Piter Shpilev , Weng Kee Wong

We present some optimal criteria to evaluate model-robustness of non-regular two-level fractional factorial designs. Our method is based on minimizing the sum of squares of all the off-diagonal elements in the information matrix, and…

Methodology · Statistics 2009-11-24 Satoshi Aoki

We propose a new copula model that can be used with replicated spatial data. Unlike the multivariate normal copula, the proposed copula is based on the assumption that a common factor exists and affects the joint dependence of all…

Applications · Statistics 2016-12-08 Pavel Krupskii , Raphael Huser , Marc G. Genton

Practitioners and academics have long appreciated the benefits of covariate balancing when they conduct randomized experiments. For web-facing firms running online A/B tests, however, it still remains challenging in balancing covariate…

Methodology · Statistics 2024-05-27 Jinglong Zhao , Zijie Zhou

Missing observations are pervasive throughout empirical research, especially in the social sciences. Despite multiple approaches to dealing adequately with missing data, many scholars still fail to address this vital issue. In this paper,…

Estimation of large covariance matrices has drawn considerable recent attention, and the theoretical focus so far has mainly been on developing a minimax theory over a fixed parameter space. In this paper, we consider adaptive covariance…

Statistics Theory · Mathematics 2012-11-05 T. Tony Cai , Ming Yuan

The adsorption of a single multi-block $AB$-copolymer on a solid planar substrate is investigated by means of computer simulations and scaling analysis. It is shown that the problem can be mapped onto an effective homopolymer adsorption…

Soft Condensed Matter · Physics 2008-06-27 Swati Bhattacharya , Hsiao-Ping Hsu , Andrey Milchev , Vakhtang G. Rostiashvili , Thomas A. Vilgis
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