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A New Modified EWMA Control Chart for Monitoring Processes Involving Autocorrelated Data

Intelligent Automation & Soft Computing 2023年第4期36卷 281-298页

作者： Korakoch Silpakob Yupaporn Areepong Saowanit Sukparungsee Rapin Sunthornwat Department of Applied Statistics Faculty of Applied ScienceKing Mongkut’s University of Technology North BangkokBang SueBangkok10800Thailand Industrial Technology and Innovation Management Program Faculty of Science and TechnologyPathumwan Institute of TechnologyPathumwanBangkok10330Thailand

Control charts are one of the tools in statistical process control widely used for monitoring,measuring,controlling,improving the quality,and detecting problems in processes in variousﬁ*** average run length(ARL)can be used to determine the efﬁcacy of a control *** this study,we develop a new modiﬁed exponentially weighted moving average(EWMA)control chart and derive explicit formulas for both one and the two-sided ARLs for a p-order autoregressive(AR(p))process with exponential white noise on the new modiﬁed EWMA control *** accuracy of the explicit formulas was compared to that of the well-known numerical integral equation(NIE)*** both methods were highly consistent with an absolute percentage difference of less than 0.00001%,the ARL using the explicit formulas method could be computed much more ***,the performance of the explicit formulas for the ARL on the new modiﬁed EWMA control chart was better than on the modiﬁed and standard EWMA control charts based on the relative mean index(RMI).In addition,to illustrate the applicability of using the proposed explicit formulas for the ARL on the new modiﬁed EWMA control chart in practice,the explicit formulas for the ARL were also applied to a process with real data from the energy and agriculturalﬁelds.

关键词： Autoregressive process new modiﬁed EWMA average run length(ARL) numerical integral equation(NIE)

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C^0DISCONTINUOUS GALERKIN METHODS FOR A PLATE FRICTIONAL CONTACT PROBLEM

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Journal of Computational Mathematics 2019年第2期37卷 184-200页

作者： Fei Wang Tianyi Zhang Weimin Han School of Mathematics and Statistics Xi 'an Jiaotong University Xi'an 710049 China Program in Applied Mathematical and Computational Sciences University of Iowa Iowa City IA 52242 USA School of Mathematics and Statistics Xi 'an Jiaotong University Xi'an 710049 China Departinent of Mathematics University of Iowa Iowa City. IA 52242 USA

Numerous C^0 discontinuous Galerkin (DG) schemes for the Kirchhoff plate bending problem are extended to solve a plate frictional contact problem, which is a fourth-order elliptic variational inequality of the second kind. This variational inequality contains a nondifferentiable term due to the frictional contact. We prove that these C^0 DG methods are consis tent and st able, and derive optimal order error estima tes for the quadratic element. A numerical example is presented to show the performance of the C^0 DG methods;and the numerical convergence orders confirm the theoretical prediction.

关键词： Variational inequality of fourth-order Discontinuous Galerkin method Plate frictional contact problem Optimal order error estimate

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Reproduction number, discrete forecasting model, and chaos analytics for Coronavirus Disease 2019 outbreak in India, Bangladesh, and Myanmar

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Biostatistics and Epidemiology 2022年第1期6卷 31-47页

作者： Sunthornwat, Rapin Areepong, Yupaporn Industrial Technology Program Faculty of Science and Technology Pathumwan Institute of Technology Bangkok Thailand Department of Applied Statistics Faculty of Applied Science King Mongkut’s University of Technology North Bangkok Bangkok Thailand

Emerging Infectious Disease of Coronavirus 2019 is a catastrophe of human beings. Controlling, monitoring, and forecasting the COVID-19 outbreak is very important for the authorities to make a decision on launching the policy for suppressing it. Reproduction numbers of epidemiology models and forecasting models have been developed to control and monitor the COVID-19 outbreak via policies of authorities, such as social distancing and wearing mask. Thus, the purposes of this research are to estimate the reproduction number of susceptible infectious recovered models and forecast the number of total COVID-19 cases every day based on discrete logistic models. Moreover, chaos analysis and spreading power of the number of COVID-19 cases by day are investigated with regard to COVID-19 situation in India, Bangladesh, and Myanmar. The results showed that its spread was highest in India and the transmission potential of COVID-19 in Myanmar is higher compared to India and Bangladesh. © 2021 International Biometric Society–Chinese Region.

关键词： biostatistics chaos analysis Coronavirus disease 2019 parameter estimation

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Derivation of new 3D discrete ordinate equations

Derivation of new 3D discrete ordinate equations

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International Conference on the Physics of Reactors 2012: Advances in Reactor Physics, PHYSOR 2012

作者： Ahrens, Cory D. Colorado School of Mines Department of Applied Mathematics and Statistics Program in Nuclear Science and Engineering Golden CO 80401-1887 United States

ISBN: (纸本)9781622763894

The Sn equations have been the workhorse of deterministic radiation transport calculations for many years. Here we derive two new angular discretizations of the 3D transport equation. The first set of equations, derived using Lagrange interpolation and collocation, retains the classical Sn structure, with the main difference being how the scattering source is calculated. Because of the formal similarity with the classical S n equations, it should be possible to modify existing computer codes to take advantage of the new formulation. In addition, the new S n-like equations correctly capture delta function scattering. The second set of equations, derived using a Galerkin technique, does not retain the classical Sn structure because the streaming term is not diagonal. However, these equations can be cast into a form similar to existing methods developed to reduce ray effects. Numerical investigation of both sets of equations is under way.

关键词： Interpolation

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Enterobacteria and Vibrio from Macrobrachium amazonicum prawn farming in Fortaleza,Ceará,Brazil

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Asian Pacific Journal of Tropical Medicine 2016年第1期9卷 24-28页

作者： Débora de Souza Collares Maia Castelo-Branco Jamille Alencar Sales Raimunda Samia Nogueira Brilhante Glaucia Morgana de Melo Guedes Yago Brito de Ponte Celia Maria de Souza Sampaio Tereza de Jesus Pinheiro Gomes Bandeira José Luciano Bezerra Moreira Lucas Pereira de Alencar Manoel de Araújo Neto Paiva Rossana de Aguiar Cordeiro André Jalles Monteiro Waldemiro de Aquino Pereira-Neto José Júlio Costa Sidrim Marcos Fábio Gadelha Rocha Department of Pathology and Legal Medicine Postgraduate Program in Medical MicrobiologySpecialized Medical Mycology CenterFederal University of Ceará School of Veterinary Medicine Postgraduate Program in Veterinary SciencesState University of Ceará Department of Statistics and Applied Mathematics Federal University of Ceará

Objective:To investigate the isolation of enterobacteria associated with Macrobrachium amazonicum(***) farming and evaluate the in vitro antimicrobial susceptibility of Vibrio ***:Strains were isolated from female *** prawns and environmental and hatchery *** assays were used to identify bacterial genera and those belonging to the genus Vibrio were submitted to further analyses for species identification,through Vitek 2 automated system and *** test was performed according to Clinical Laboratory Standards ***:The following genera of enlerobacteria were recovered:Enterobacter(n=11),Citrobacter(n=10),Proteus(n=2),Serratia(n=2),Kluyvera(n=2),Providencia(n=2),Cedecea(n=1),Escherichia(n=1).Edwardsiella(n=1) and BulliauxeUa(n=1).As for Vibrio,three species were identified:Vibrio cholerae non-O1/non-O139(n=4).Vibrio vulnificus(***)(n=1) and Vibrio mimicus(n=1).Vibrio *** minimum inhibitory concentrations values within the susceptibility range established by Clinical Laboratory Standards Institute for almost all antibiotics,except for ***,which presented intermediate profile to ***:Enterobacteria do not seem to be the most important pathogens associated with *** farming,whereas the recovery of Vibrio *** larviculture,with emphasis on Vibrio cholerae and ***,deserves special attention due to their role as potentially zoonotic aquaculture-associated ***,the intermediate susceptibility of *** to ampicillin reflects the importance of monitoring drug use in prawn farming.

关键词： Prawn Water Enterobacteria Vibrio Antibiotics

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A touch of distinction

European Coatings Journal

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European Coatings Journal 2008年第5期 48-50+52-53页

作者： Berger, Guenter Katz, Hermann Petutschnigg, Alexander Department Head Business and Management Degree Program Wood Science and Timber Structures Salzburg University of Applied Sciences Urstein Süd 1 A-5412 Puch Austria Central Quality Management Department Joanneum Research Institute of Applied Statistics and Systems Analysis Graz Austria Salzburg University of Applied Studies Puch Austria

Consumers were invited to touch wood flooring surfaces with bare feet and hands when blindfolded. Most were able to consistently distinguish between the properties of different surfaces, with a general preference for the oiled wood finish. This type of testing could improve future product development, sales tactics and point-of-sale product presentations.

关键词： Wooden floors

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Multidimensional Hyperbolic Problems and Computations 1

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丛书名： The IMA Volumes in Mathematics and its Applications

1000年

作者： James Glimm Andrew J. Majda

ISBN: (数字)9781461391210

ISBN: (纸本)9781461391234

This IMA Volume in Mathematics and its Applications MULTIDIMENSIONAL HYPERBOLIC PROBLEMS AND COMPUTATIONS is based on the proceedings of a workshop which was an integral part ofthe 1988-89 IMA program on NONLINEAR WAVES. We are grateful to the Scientific Commit tee: James Glimm, Daniel Joseph, Barbara Keyfitz, Andrew Majda, Alan Newell, Peter Olver, David Sattinger and David Schaeffer for planning and implementing an exciting and stimulating year-long program. We especially thank the Work shop Organizers, Andrew Majda and James Glimm, for bringing together many of the major figures in a variety of research fields connected with multidimensional hyperbolic problems. A vner Friedman Willard Miller PREFACE A primary goal of the IMA workshop on Multidimensional Hyperbolic Problems and Computations from April 3-14, 1989 was to emphasize the interdisciplinary nature of contemporary research in this field involving the combination of ideas from the theory of nonlinear partial differential equations, asymptotic methods, numerical computation, and experiments. The twenty-six papers in this volume span a wide cross-section of this research including some papers on the kinetic theory of gases and vortex sheets for incompressible flow in addition to many papers on systems of hyperbolic conservation laws. This volume includes several papers on asymptotic methods such as nonlinear geometric optics, a number of articles applying numerical algorithms such as higher order Godunov methods and front tracking to physical problems along with comparison to experimental data, and also several interesting papers on the rigorous mathematical theory of shock waves.

关键词： Analysis

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Conditional random fields, planted constraint satisfaction and entropy concentration

Conditional random fields, planted constraint satisfaction a...

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16th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, APPROX 2013 and the 17th International Workshop on Randomization and Computation, RANDOM 2013

作者： Abbe, Emmanuel Montanari, Andrea Department of Electrical Engineering Program in Applied and Computational Mathematics Princeton University United States Departments of Electrical Engineering and Statistics Stanford University United States

ISBN: (纸本)9783642403279

This paper studies a class of probabilistic models on graphs, where edge variables depend on incident node variables through a fixed probability kernel. The class includes planted constraint satisfaction problems (CSPs), as well as more general structures motivated by coding and community clustering problems. It is shown that under mild assumptions on the kernel and for sparse random graphs, the conditional entropy of the node variables given the edge variables concentrates around a deterministic threshold. This implies in particular the concentration of the number of solutions in a broad class of planted CSPs, the existence of a threshold function for the disassortative stochastic block model, and the proof of a conjecture on parity check codes. It also establishes new connections among coding, clustering and satisfiability. © 2013 Springer-Verlag.

关键词： Entropy

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When random assignment fails: Some lessons from the Minneapolis Spouse Abuse Experiment

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Journal of Quantitative Criminology 1988年第3期4卷 209-223页

作者： Berk, Richard A. Smyth, Gordon K. Sherman, Lawrence W. Department of Sociology and Program in Social Statistics Haines Hall University of California Los Angeles 90024 California United States Statistics and Applied Probability Program University of California Santa Barbara Santa Barbara 93106 California United States Department of Criminal Justice University of Maryland College Park 20742 Maryland United States

In this paper, we consider what may be done when researchers anticipate that in the implementation of field experiments, random assignment to experimental and control groups is likely to be flawed. We then reanalyze data from the Minneapolis Spouse Abuse Experiment in a manner that explicitly models violations of random assignment. As anticipated, we find far larger treatment effects than previously reported. The techniques developed should be useful in a wide variety of settings when random assignment is implemented imperfectly. © 1988 Plenum Publishing Corporation.

关键词： domestic violence field experiments random assignment selection bias

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Langevin Equations in the Small-Mass Limit: Higher-Order Approximations

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Annales Henri Poincare 2020年第6期21卷 1765-1811页

作者： Birrell, Jeremiah Wehr, Jan Department of Mathematics and Statistics University of Massachusetts Amherst Amherst 01003 MA United States Department of Mathematics and Program in Applied Mathematics University of Arizona Tucson 8572 AZ United States

We study the small-mass (overdamped) limit of Langevin equations for a particle in a potential and/or magnetic field with matrix-valued and state-dependent drift and diffusion. We utilize a bootstrapping argument to derive a hierarchy of approximate equations for the position degrees of freedom that are able to achieve accuracy of order m^ℓ ^/ ² over compact time intervals for any ℓ∈ Z⁺. This generalizes prior derivations of the homogenized equation for the position degrees of freedom in the m→ 0 limit, which result in order m^{1 / 2} approximations. Our results cover bounded forces, for which we prove convergence in L^p norms and unbounded forces, in which case we prove convergence in probability. © 2020, Springer Nature Switzerland AG.

关键词： 60H10 82C31

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