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We investigate Fair and Tolerant (FAT) graph colorings, a coloring framework in which each vertex is allowed to share its color with a prescribed fraction of its neighbors, while the remaining neighbors are required to be distributed evenly…

组合数学 · 数学 2026-04-24 Lies Beers , Raffaella Mulas

Recently Hui et al. (2018) use F tests for testing a subset of random effect, demonstrating its computational simplicity and exactness when the first two moment of the random effects are specified. We extended the investigation of the F…

统计方法学 · 统计学 2018-12-11 P. Y. O'Shaughnessy , Francis Hui , Samuel Muller , A. H. Welsh

This paper is about models for a vector of probabilities whose elements must have a multiplicative structure and sum to 1 at the same time; in certain applications, as basket analysis, these models may be seen as a constrained version of…

统计理论 · 数学 2018-04-17 Antonio Forcina

In this paper we study saturated fractions of a two-factor design under the simple effect model. In particular, we define a criterion to check whether a given fraction is saturated or not, and we compute the number of saturated fractions.…

统计理论 · 数学 2012-07-13 Roberto Fontana , Fabio Rapallo , Maria Piera Rogantin

We show that the open-loop transfer functions and the stability margins may be defined within the recent model-free control setting. Several convincing computer experiments are presented including one which studies the robustness with…

最优化与控制 · 数学 2014-03-27 Michel Fliess , Cédric Join

We consider goodness-of-fit tests for the distribution of the composed error in Stochastic Frontier Models. The proposed test statistic utilizes the characteristic function of the composed error term, and is formulated as a weighted…

统计理论 · 数学 2022-03-01 Simos G. Meintanis , Christos K. Papadimitriou

The problem of detecting variance breaks in the case of smooth time-varying variance structure is studied. It is highlighted that the tests based on (piecewise) constant specification of the variance are not able to distinguish between…

统计方法学 · 统计学 2017-07-24 Ben Hajria Raja , Khardani Salah , Raïssi Hamdi

A fundamental and often final step in time series modeling is to assess the quality of fit of a proposed model to the data. Since the underlying distribution of the innovations that generate a model is often not prescribed, goodness-of-fit…

统计方法学 · 统计学 2024-03-13 Richard A. Davis , Leon Fernandes

In an order-of-addition experiment, each treatment is a permutation of m components. It is often unaffordable to test all the m! treatments, and the design problem arises. We consider a model that incorporates the order of each pair of…

统计理论 · 数学 2018-05-15 Jiayu Peng , Rahul Mukerjee , Dennis K. J. Lin

Woven shell structures are beneficial for applications requiring lightweight, damage resilience, and design tunability, such as in wearable devices, soft robotics, and aerospace systems. A fundamental component of woven structures is the…

应用物理 · 物理学 2025-12-02 Jaimie Krankel , Guowei Wayne Tu , Evgueni T. Filipov

Snap-fits are versatile mechanical designs in industrial products, which enable the repeated assembling and disassembling of two solid parts. This important property is attributed to a fine balance between geometry, friction, and bending…

软凝聚态物质 · 物理学 2020-11-11 Keisuke Yoshida , Hirofumi Wada

Variational problems of splitting-type with mixed linear-superlinear growth conditions are considered. In the twodimensional case the minimizing problem is given by \[ J [w] = \int_{\Omega} \Big[f_1\big(\partial_1 w\big) +…

偏微分方程分析 · 数学 2020-07-30 Michael Bildhauer , Martin Fuchs

This paper extends the design-based framework to settings with multi-way cluster dependence, and shows how multi-way clustering can be justified when clustered assignment and clustered sampling occurs on different dimensions, or when either…

计量经济学 · 经济学 2023-09-06 Luther Yap

Given two 2-level factors of interest, a 2^2 split-plot design} (a) takes each of the $2^2=4$ possible factorial combinations as a treatment, (b) identifies one factor as `whole-plot,' (c) divides the experimental units into blocks, and (d)…

统计方法学 · 统计学 2016-02-15 Anqi Zhao , Peng Ding , Tirthankar Dasgupta

In this contribution, typical friction driven structures are summarized and presented considering the mechanical structures and operation principles of different types of piezoelectric motors. A two degree-of-freedom dynamic model with one…

混沌动力学 · 物理学 2017-04-05 Weiting Liu , Maoying Zhou , Xiaodong Ruan , Xin Fu

We propose a multiple-splitting projection test (MPT) for one-sample mean vectors in high-dimensional settings. The idea of projection test is to project high-dimensional samples to a 1-dimensional space using an optimal projection…

统计方法学 · 统计学 2022-04-19 Wanjun Liu , Xiufan Yu , Runze Li

The paper describes a framework for multi-function system testing. Multi-function system testing is considered as fusion (or revelation) of clique-like structures. The following sets are considered: (i) subsystems (system parts or units /…

软件工程 · 计算机科学 2015-03-19 Mark Sh. Levin

Diffusion models are learning pattern-learning systems to model and sample from data distributions with three functional components namely the forward process, the reverse process, and the sampling process. The components of diffusion…

机器学习 · 计算机科学 2025-06-02 Ziyi Chang , George Alex Koulieris , Hyung Jin Chang , Hubert P. H. Shum

The knowledge of the exact structure of the optical system PSF enables a high-quality image reconstruction in fluorescence microscopy. Accurate PSF models account for the vector nature of light and the phase and amplitude modifications.…

Two-level factorial designs are widely used in industrial experiments. For processes involving \(n\) factors, the construction of designs comprising \(2^n\) and \(2^{n-p}\) factorials, arranged in blocks of size \(2^q\) is investigated. The…

统计理论 · 数学 2019-07-05 Janet Godolphin