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In the analysis of count data often the equidispersion assumption is not suitable, hence the Poisson regression model is inappropriate. As a generalization of the Poisson distribution, the COM-Poisson distribution can deal with under-,…

Data analysis in science, e.g., high-energy particle physics, is often subject to an intractable likelihood if the observables and observations span a high-dimensional input space. Typically the problem is solved by reducing the…

Data Analysis, Statistics and Probability · Physics 2021-01-14 Stefan Wunsch , Simon Jörger , Roger Wolf , Günter Quast

This paper presents methods for meta-analysis of $2 \times 2$ tables, both with and without allowing heterogeneity in the treatment effects. Meta-analysis is common in medical research, but most existing methods are unsuited for $2 \times…

Methodology · Statistics 2026-02-23 Céline Cunen , Nils Lid Hjort

We consider the problem of designing experiments for the comparison of two regression curves describing the relation between a predictor and a response in two groups, where the data between and within the group may be dependent. In order to…

Statistics Theory · Mathematics 2021-01-15 Kirsten Schorning , Holger Dette

We study the behavior of deterministic methods for solving inverse problems in imaging. These methods are commonly designed to achieve two goals: (1) attaining high perceptual quality, and (2) generating reconstructions that are consistent…

Image and Video Processing · Electrical Eng. & Systems 2024-06-11 Guy Ohayon , Tomer Michaeli , Michael Elad

We present an optimization-based design process that can generate the best insertion-based joints with respect to different errors, including manipulation error, manufacturing error, and sensing error. We separate the analysis into two…

Robotics · Computer Science 2022-11-14 Zhibin Zou

We present general results on D-optimal designs for estimating the mean response in repeated measures growth curve models with metric outcomes. For this situation, we derive a novel equivalence theorem for checking design optimality. The…

Statistics Theory · Mathematics 2023-01-23 Fritjof Freise , Heinz Holling , Rainer Schwabe

In this work we present the results of several simulations on main-effect factorial designs. The goal of such simulations is to investigate the connections between the $D$-optimality of a design and its geometrical structure. By means of a…

Computation · Statistics 2016-04-18 Roberto Fontana , Fabio Rapallo

Improvements in technology lead to increasing availability of large data sets which makes the need for data reduction and informative subsamples ever more important. In this paper we construct $ D $-optimal subsampling designs for…

Statistics Theory · Mathematics 2023-02-28 Torsten Reuter , Rainer Schwabe

We consider maximin and Bayesian $D$-optimal designs for nonlinear regression models. The maximin criterion requires the specification of a region for the nonlinear parameters in the model, while the Bayesian optimality criterion assumes…

Statistics Theory · Mathematics 2009-09-29 Dietrich Braess , Holger Dette

In the common linear regression model the problem of determining optimal designs for least squares estimation is considered in the case where the observations are correlated. A necessary condition for the optimality of a given design is…

Statistics Theory · Mathematics 2013-03-13 Holger Dette , Andrey Pepelyshev , Anatoly Zhigljavsky

This paper studies the case of possibly high-dimensional covariates in the regression discontinuity design (RDD) analysis. In particular, we propose estimation and inference methods for the RDD models with covariate selection which perform…

Econometrics · Economics 2026-01-21 Yoichi Arai , Taisuke Otsu , Myung Hwan Seo

Traditional nonparametric estimation methods often lead to a slow convergence rate in large dimensions and require unrealistically enormous sizes of datasets for reliable conclusions. We develop an approach based on partial derivatives,…

Methodology · Statistics 2024-08-20 Xiaowu Dai

We propose a new approach for identifying the support points of a locally optimal design when the model is a nonlinear model. In contrast to the commonly used geometric approach, we use an approach based on algebraic tools. Considerations…

Methodology · Statistics 2009-03-05 Min Yang , John Stufken

We consider the problem of constructing optimal designs for population pharmacokinetics which use random effect models. It is common practice in the design of experiments in such studies to assume uncorrelated errors for each subject. In…

Applications · Statistics 2010-11-16 Holger Dette , Andrey Pepelyshev , Tim Holland-Letz

We introduce Poisson-response tensor-on-tensor regression (PToTR), a novel regression framework designed to handle tensor responses composed element-wise of random Poisson-distributed counts. Tensors, or multi-dimensional arrays, composed…

Methodology · Statistics 2026-04-10 Carlos Llosa-Vite , Daniel M. Dunlavy

We propose a computational approach to constructing exact designs on finite design spaces that are optimal for multiresponse regression experiments under a combination of the standard linear and specific 'sparsity' constraints. The linear…

Methodology · Statistics 2026-02-13 Lenka Filová , Pál Somogyi , Radoslav Harman

We present the Additive Poisson Process (APP), a novel framework that can model the higher-order interaction effects of the intensity functions in stochastic processes using lower dimensional projections. Our model combines the techniques…

Machine Learning · Statistics 2020-06-17 Simon Luo , Feng Zhou , Lamiae Azizi , Mahito Sugiyama

In this paper, deterministic and robust design optimizations of a permanent magnet assisted synchronous reluctance machine were performed to increase its mean torque while reducing torque ripple. These optimizations were carried out using a…

Optimization and Control · Mathematics 2022-11-30 Adán Reyes , Delphine Sinoquet , André Nasr , Sami Hlioui

Multiple randomization designs (MRDs) are a class of experimental designs used to handle interference in two-sided marketplaces. We investigate regression adjustment strategies for estimating total, spillover, and direct effects in MRDs. We…

Methodology · Statistics 2026-03-23 Timothy Sudijono , Lihua Lei , Lorenzo Masoero , Suhas Vijaykumar , Guido Imbens , James McQueen
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