Communications in Statistics - Theory and Methods, ISSN 0361-0926, 05/2017, Volume 46, Issue 9, pp. 4520 - 4538

The statistical properties of two closed-form estimators of the parameters of the quadratic time trend model are derived. The estimators are based on the...

Buys-Ballot estimation method | Robustness and statistical properties | Quadratic polynomial trend model | STATISTICS & PROBABILITY | Economic models | Time series | Mathematical analysis | Tables (data) | Mathematical models | Polynomials | Trends | Statistics | Estimators

Buys-Ballot estimation method | Robustness and statistical properties | Quadratic polynomial trend model | STATISTICS & PROBABILITY | Economic models | Time series | Mathematical analysis | Tables (data) | Mathematical models | Polynomials | Trends | Statistics | Estimators

Journal Article

IEEE Transactions on Power Systems, ISSN 0885-8950, 01/2015, Volume 30, Issue 1, pp. 463 - 470

Finding a global solution to the optimal power flow (OPF) problem is difficult due to its nonconvexity. A convex relaxation in the form of semidefinite...

Resistance | semidefinite programming | Symmetric matrices | Global optimization | moment/sum-of-squares approach | Programming | optimal power flow | polynomial optimization | Polynomials | Vectors | MATLAB | Optimization | RELAXATIONS | CONES | SEMIDEFINITE | ENGINEERING, ELECTRICAL & ELECTRONIC | Measurement | Usage | Numerical analysis | Quadratic functions | Voltage | Innovations | Linear programming | Electric power systems | Mathematical optimization | Trends | Networks | Power flow | Run time (computers) | Mathematical analysis | Buses | Mathematical models | Mathematical programming | Engineering Sciences | Mathematics | Optimization and Control

Resistance | semidefinite programming | Symmetric matrices | Global optimization | moment/sum-of-squares approach | Programming | optimal power flow | polynomial optimization | Polynomials | Vectors | MATLAB | Optimization | RELAXATIONS | CONES | SEMIDEFINITE | ENGINEERING, ELECTRICAL & ELECTRONIC | Measurement | Usage | Numerical analysis | Quadratic functions | Voltage | Innovations | Linear programming | Electric power systems | Mathematical optimization | Trends | Networks | Power flow | Run time (computers) | Mathematical analysis | Buses | Mathematical models | Mathematical programming | Engineering Sciences | Mathematics | Optimization and Control

Journal Article

Chinese Journal of Chemical Engineering, ISSN 1004-9541, 05/2018, Volume 26, Issue 5, pp. 1071 - 1077

In this study, a multivariate local quadratic polynomial regression (MLQPR) method is proposed to design a model for the sludge volume index (SVI). In MLQPR, a...

Multivariate quadratic polynomial regression | Wastewater treatment process | Local estimation method | Sludge volume index | ENGINEERING, CHEMICAL | TREATMENT-PLANT | ACTIVATED-SLUDGE | BIOMASS | MUNICIPAL WASTE-WATER | MICROTHRIX-PARVICELLA | FILAMENTOUS BULKING

Multivariate quadratic polynomial regression | Wastewater treatment process | Local estimation method | Sludge volume index | ENGINEERING, CHEMICAL | TREATMENT-PLANT | ACTIVATED-SLUDGE | BIOMASS | MUNICIPAL WASTE-WATER | MICROTHRIX-PARVICELLA | FILAMENTOUS BULKING

Journal Article

Key Engineering Materials, ISSN 1013-9826, 04/2019, Volume 798, pp. 370 - 375

This research focused on the mathematical model that could be simplified as the series function. This function used for macroscopic explanation of the...

Numerical-Experimental Model | Kraft-based Fibrous Composites | Polynomial Regression Method | Brinell Analysis | Quadratic equations | Shear modulus | Computer simulation | Fiber composites | Regression analysis | Hardness | Indentation | Brinell hardness tests | Refitting | Regression models | Mathematical analysis | Dwell time | Polynomials

Numerical-Experimental Model | Kraft-based Fibrous Composites | Polynomial Regression Method | Brinell Analysis | Quadratic equations | Shear modulus | Computer simulation | Fiber composites | Regression analysis | Hardness | Indentation | Brinell hardness tests | Refitting | Regression models | Mathematical analysis | Dwell time | Polynomials

Journal Article

Sociological Methods & Research, ISSN 0049-1241, 11/2013, Volume 42, Issue 4, pp. 483 - 530

Within-survey multiple imputation (MI) methods are adapted to pooled-survey regression estimation where one survey has more regressors, but typically fewer...

multiple imputation | panel surveys | child obesity | combining data | model fit statistics | MISSING DATA | PREVALENCE | TRENDS | CHILDREN | OBESITY | ADOLESCENTS | OVERWEIGHT | BODY-MASS INDEX | SOCIAL SCIENCES, MATHEMATICAL METHODS | WEIGHT | SOCIOLOGY | Polynomials | Regression analysis | Estimating techniques | Quadratic programming | Sociology

multiple imputation | panel surveys | child obesity | combining data | model fit statistics | MISSING DATA | PREVALENCE | TRENDS | CHILDREN | OBESITY | ADOLESCENTS | OVERWEIGHT | BODY-MASS INDEX | SOCIAL SCIENCES, MATHEMATICAL METHODS | WEIGHT | SOCIOLOGY | Polynomials | Regression analysis | Estimating techniques | Quadratic programming | Sociology

Journal Article

Statistica Sinica, ISSN 1017-0405, 7/2016, Volume 26, Issue 3, pp. 1279 - 1304

In this paper, we propose a statistical methodology to test whether the texture of an image is isotropic or not. This methodology is based on the well-known...

Isotropy | Axons | Anisotropy | Spectral energy distribution | False negative errors | Mathematical functions | Polynomials | Surface texture | Random variables | Rotation | Quadratic variations | Statistical test | Texture analysis | Image processing | Microscopy | Intrinsic random field | Biological imaging | Fractional Brownian field | image processing | fractional Brownian field | RANDOM-PHASE | FILTERS | DECOMPOSITION | PATTERNS | STATISTICS & PROBABILITY | biological imaging | quadratic variations | statistical test | ORIENTATION | microscopy | FRACTAL DIMENSION | GAUSSIAN PROCESS | intrinsic random field | SPATIAL ISOTROPY | isotropy | texture analysis | Mathematics | Methodology | Applications | Engineering Sciences | Statistics | Signal and Image processing

Isotropy | Axons | Anisotropy | Spectral energy distribution | False negative errors | Mathematical functions | Polynomials | Surface texture | Random variables | Rotation | Quadratic variations | Statistical test | Texture analysis | Image processing | Microscopy | Intrinsic random field | Biological imaging | Fractional Brownian field | image processing | fractional Brownian field | RANDOM-PHASE | FILTERS | DECOMPOSITION | PATTERNS | STATISTICS & PROBABILITY | biological imaging | quadratic variations | statistical test | ORIENTATION | microscopy | FRACTAL DIMENSION | GAUSSIAN PROCESS | intrinsic random field | SPATIAL ISOTROPY | isotropy | texture analysis | Mathematics | Methodology | Applications | Engineering Sciences | Statistics | Signal and Image processing

Journal Article

Journal of Personal Selling & Sales Management, ISSN 0885-3134, 10/2014, Volume 34, Issue 4, pp. 302 - 317

Despite theoretical bases that may support nonlinear relationships, there is a relative paucity of studies testing these effects in organisational and...

sales management | moderated nonlinear | quadratic | salesperson | nonlinear | polynomial | Polynomial | Nonlinear | Sales management | Moderated nonlinear | Quadratic | Salesperson | Nonlinear theories | Models | Analysis

sales management | moderated nonlinear | quadratic | salesperson | nonlinear | polynomial | Polynomial | Nonlinear | Sales management | Moderated nonlinear | Quadratic | Salesperson | Nonlinear theories | Models | Analysis

Journal Article

Metrika, ISSN 0026-1335, 2/2017, Volume 80, Issue 2, pp. 187 - 200

A simultaneous confidence band is a useful statistical tool in a simultaneous inference procedure. In recent years several papers were published that consider...

Statistics for Business/Economics/Mathematical Finance/Insurance | Economic Theory/Quantitative Economics/Mathematical Methods | Probability Theory and Stochastic Processes | Statistics, general | Numerical quadrature | Quadratic programming | Statistical simulation | Statistics | Simultaneous inference | LINEAR-REGRESSION | BOUNDS | PREDICTOR VARIABLES | CONSTRAINTS | STATISTICS & PROBABILITY | INTERVALS | DOSE RISK-ESTIMATION | Analysis | Models | Musical groups

Statistics for Business/Economics/Mathematical Finance/Insurance | Economic Theory/Quantitative Economics/Mathematical Methods | Probability Theory and Stochastic Processes | Statistics, general | Numerical quadrature | Quadratic programming | Statistical simulation | Statistics | Simultaneous inference | LINEAR-REGRESSION | BOUNDS | PREDICTOR VARIABLES | CONSTRAINTS | STATISTICS & PROBABILITY | INTERVALS | DOSE RISK-ESTIMATION | Analysis | Models | Musical groups

Journal Article

Reliability Engineering and System Safety, ISSN 0951-8320, 07/2019, Volume 187, pp. 93 - 109

We use the Karhunenâ€“LoÃ¨ve expansion of a random-field model to construct a tensorised Bayesian linear model from which Sobolâ€™ sensitivity indices can be...

Bayesian linear model | Sensitivity analysis | Optimal design of experiments | Polynomial chaos | Sobolâ€™ Indices | Random-field model | Karhunenâ€“LoÃ¨ve expansion | Karhunen-LoÃ¨ve expansion | Sobol' Indices | RATE COEFFICIENTS | UNCERTAINTIES | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | COUPLED REACTION SYSTEMS | CONSTRUCTION | Karhunen-Loeve expansion | QUADRATIC-FORMS | ENGINEERING, INDUSTRIAL | Orthonormal functions | Parameter estimation | Gaussian process | Experimental design | Mathematical models | Polynomials | Fields (mathematics) | Design of experiments | Expansion | Bayesian analysis | Statistics | Mathematics

Bayesian linear model | Sensitivity analysis | Optimal design of experiments | Polynomial chaos | Sobolâ€™ Indices | Random-field model | Karhunenâ€“LoÃ¨ve expansion | Karhunen-LoÃ¨ve expansion | Sobol' Indices | RATE COEFFICIENTS | UNCERTAINTIES | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | COUPLED REACTION SYSTEMS | CONSTRUCTION | Karhunen-Loeve expansion | QUADRATIC-FORMS | ENGINEERING, INDUSTRIAL | Orthonormal functions | Parameter estimation | Gaussian process | Experimental design | Mathematical models | Polynomials | Fields (mathematics) | Design of experiments | Expansion | Bayesian analysis | Statistics | Mathematics

Journal Article

05/2011

By using the data concerning China's urban-rural residents' income gap from 1978 to 2010, this paper mainly researches the application of several kinds of...

Agribusiness | Urban-rural residentsâ€™ income gap | China | Grey prediction model | Quadratic- polynomial model | ARIMA model

Agribusiness | Urban-rural residentsâ€™ income gap | China | Grey prediction model | Quadratic- polynomial model | ARIMA model

Journal Article

Advances in Mathematics, ISSN 0001-8708, 2009, Volume 220, Issue 1, pp. 154 - 218

The paper has three parts. In the first part we apply the theory of commuting pairs of (pseudo) difference operators to the (formal) asymptotics of orthogonal...

Commuting difference operators | Quadratic differentials | Conformal glueing | Orthogonal polynomials | Theta functions | Riemannâ€“Hilbert problem | Riemann-Hilbert problem | UNIVERSALITY | EQUATIONS | MATRIX MODELS | MATHEMATICS | INTEGRATION | EXPONENTIAL WEIGHTS | ISOMONODROMIC TAU FUNCTIONS

Commuting difference operators | Quadratic differentials | Conformal glueing | Orthogonal polynomials | Theta functions | Riemannâ€“Hilbert problem | Riemann-Hilbert problem | UNIVERSALITY | EQUATIONS | MATRIX MODELS | MATHEMATICS | INTEGRATION | EXPONENTIAL WEIGHTS | ISOMONODROMIC TAU FUNCTIONS

Journal Article

Advances in Mathematics, ISSN 0001-8708, 10/2016, Volume 302, pp. 1137 - 1232

Saddle points of a vector logarithmic energy with a vector polynomial external field on the plane constitute the , a notion that finds a natural motivation in...

Vector energy | Critical measures | Quadratic differentials trajectories | Compact Riemann surface | Equilibrium on the complex plane | Logarithmic potential theory | Extremal problems | S-property | NORMAL MATRIX MODEL | EQUILIBRIUM PROBLEM | VALUED WEIGHT FUNCTION | MULTIPLE ORTHOGONAL POLYNOMIALS | 2-MATRIX MODEL | HILBERT | MATHEMATICS | EXTERNAL SOURCE | ASYMPTOTICS | HERMITE-PADE APPROXIMATIONS | LAGUERRE-POLYNOMIALS

Vector energy | Critical measures | Quadratic differentials trajectories | Compact Riemann surface | Equilibrium on the complex plane | Logarithmic potential theory | Extremal problems | S-property | NORMAL MATRIX MODEL | EQUILIBRIUM PROBLEM | VALUED WEIGHT FUNCTION | MULTIPLE ORTHOGONAL POLYNOMIALS | 2-MATRIX MODEL | HILBERT | MATHEMATICS | EXTERNAL SOURCE | ASYMPTOTICS | HERMITE-PADE APPROXIMATIONS | LAGUERRE-POLYNOMIALS

Journal Article

14.
Full Text
Polynomial equations with one catalytic variable, algebraic series and map enumeration

Journal of Combinatorial Theory, Series B, ISSN 0095-8956, 2006, Volume 96, Issue 5, pp. 623 - 672

Let be a formal power series in with polynomial coefficients in . Let be formal power series in , independent of . Assume all these series are characterized by...

Planar maps | Enumeration | Functional equations | Quadratic method | Generating functions | Kernel method | CENSUS | NUMBER | generating functions | planar maps | quadratic method | PROOF | SEPARABLE PLANAR MAPS | MATHEMATICS | functional equations | TREES | TRIANGULATIONS | enumeration | COMBINATORICS | Deterrence (Strategy) | Flexible response (Strategy) | Analysis | Combinatorics | Mathematics

Planar maps | Enumeration | Functional equations | Quadratic method | Generating functions | Kernel method | CENSUS | NUMBER | generating functions | planar maps | quadratic method | PROOF | SEPARABLE PLANAR MAPS | MATHEMATICS | functional equations | TREES | TRIANGULATIONS | enumeration | COMBINATORICS | Deterrence (Strategy) | Flexible response (Strategy) | Analysis | Combinatorics | Mathematics

Journal Article

PLoS ONE, ISSN 1932-6203, 02/2018, Volume 13, Issue 2, p. e0192864

Telomeres cap the ends of linear chromosomes and shorten with age in many organisms. In humans short telomeres have been linked to morbidity and mortality....

SURVIVAL | BODY ENERGY | EARLY-LIFE | BIOMARKER | MULTIDISCIPLINARY SCIENCES | RED DEER | DYNAMICS | TRAITS | LACTATION | HERITABILITY | AGE | DNA - genetics | Regression Analysis | Animals | Aging - genetics | Female | Models, Genetic | Leukocytes - metabolism | Longevity - physiology | Telomere Shortening - genetics | Cattle - genetics | Telomere - genetics | Telomeres | Usage | Dairy cattle | Physiological aspects | Genetic aspects | Models | Research | Regression analysis | Quadratic equations | Parameter estimation | Gene expression | Age factors | Variance analysis | Morbidity | Animal lactation | White blood cells | Studies | Genetic variance | Regression models | Life span | Evolutionary biology | Cattle | Genetic analysis | Epigenetics | Aging | Livestock | Polynomials | Heritability | Chromosomes | Age

SURVIVAL | BODY ENERGY | EARLY-LIFE | BIOMARKER | MULTIDISCIPLINARY SCIENCES | RED DEER | DYNAMICS | TRAITS | LACTATION | HERITABILITY | AGE | DNA - genetics | Regression Analysis | Animals | Aging - genetics | Female | Models, Genetic | Leukocytes - metabolism | Longevity - physiology | Telomere Shortening - genetics | Cattle - genetics | Telomere - genetics | Telomeres | Usage | Dairy cattle | Physiological aspects | Genetic aspects | Models | Research | Regression analysis | Quadratic equations | Parameter estimation | Gene expression | Age factors | Variance analysis | Morbidity | Animal lactation | White blood cells | Studies | Genetic variance | Regression models | Life span | Evolutionary biology | Cattle | Genetic analysis | Epigenetics | Aging | Livestock | Polynomials | Heritability | Chromosomes | Age

Journal Article

Technological Forecasting & Social Change, ISSN 0040-1625, 2011, Volume 78, Issue 3, pp. 448 - 457

This study has investigated the dynamic competitive relationship between PDP TVs and LCD TVs by means of their quarterly shipments. The renowned Lotkaâ€“Volterra...

Equilibrium analysis | Lotkaâ€“Volterra equation | Lyapunov functions | Domain of attraction | LCD TV and PDP TV | Lotka-Volterra equation | POLYNOMIAL SYSTEMS | DOMAIN | BUSINESS | PLANNING & DEVELOPMENT | DEMAND | STOCK-MARKET | OPTIMIZATION | DURABLES | QUADRATIC LYAPUNOV FUNCTIONS | STABILITY REGIONS | DIFFUSION-MODEL | Studies | Competition | Economic models | Plasma | Liquid crystal displays--LCDs | Mathematical functions | Equilibrium | Shipments | Television sets | Attraction | Television | Inventory management | Mathematical models | Stability analysis | Liquid crystal displays

Equilibrium analysis | Lotkaâ€“Volterra equation | Lyapunov functions | Domain of attraction | LCD TV and PDP TV | Lotka-Volterra equation | POLYNOMIAL SYSTEMS | DOMAIN | BUSINESS | PLANNING & DEVELOPMENT | DEMAND | STOCK-MARKET | OPTIMIZATION | DURABLES | QUADRATIC LYAPUNOV FUNCTIONS | STABILITY REGIONS | DIFFUSION-MODEL | Studies | Competition | Economic models | Plasma | Liquid crystal displays--LCDs | Mathematical functions | Equilibrium | Shipments | Television sets | Attraction | Television | Inventory management | Mathematical models | Stability analysis | Liquid crystal displays

Journal Article

JOURNAL OF GUIDANCE CONTROL AND DYNAMICS, ISSN 0731-5090, 04/2019, Volume 42, Issue 4, pp. 723 - 736

Many optimal control problems can be cast into polynomial optimization problems through the discretization and conversion of expressions. The polynomial...

COORDINATE DESCENT METHOD | INSTRUMENTS & INSTRUMENTATION | CONVERGENCE | NONLINEAR OPTIMAL-CONTROL | GUIDANCE | ENGINEERING, AEROSPACE | DIRECT TRAJECTORY OPTIMIZATION | SPACECRAFT | Problems | Algorithms | Constraints | Matrix algebra | Optimal control | Polynomials | Nonlinear programming | Quadratic programming | Matrix methods | Optimization

COORDINATE DESCENT METHOD | INSTRUMENTS & INSTRUMENTATION | CONVERGENCE | NONLINEAR OPTIMAL-CONTROL | GUIDANCE | ENGINEERING, AEROSPACE | DIRECT TRAJECTORY OPTIMIZATION | SPACECRAFT | Problems | Algorithms | Constraints | Matrix algebra | Optimal control | Polynomials | Nonlinear programming | Quadratic programming | Matrix methods | Optimization

Journal Article

COMPUTERS & CHEMICAL ENGINEERING, ISSN 0098-1354, 11/2014, Volume 70, pp. 122 - 132

This paper provides a comprehensive overview of research related to computational complexity of structured singular value (a.k.a. mu) problems. A survey of...

MATRIX | INTEGRAL QUADRATIC CONSTRAINTS | Mathematical systems theory | FEEDBACK-SYSTEMS | CIRCLE CRITERION | Computational complexity | RANDOMIZED ALGORITHMS | Robust control | ENGINEERING, CHEMICAL | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | NP-HARD | SCALE UNCERTAIN SYSTEMS | INPUT-OUTPUT STABILITY | MODEL-REDUCTION | STRUCTURED SINGULAR-VALUE | Algorithms | Structured singular values | Computation | Chemical engineering | Mathematical models | Robustness | Optimization | Complexity

MATRIX | INTEGRAL QUADRATIC CONSTRAINTS | Mathematical systems theory | FEEDBACK-SYSTEMS | CIRCLE CRITERION | Computational complexity | RANDOMIZED ALGORITHMS | Robust control | ENGINEERING, CHEMICAL | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | NP-HARD | SCALE UNCERTAIN SYSTEMS | INPUT-OUTPUT STABILITY | MODEL-REDUCTION | STRUCTURED SINGULAR-VALUE | Algorithms | Structured singular values | Computation | Chemical engineering | Mathematical models | Robustness | Optimization | Complexity

Journal Article

Composite Structures, ISSN 0263-8223, 01/2019, Volume 207, pp. 684 - 700

Carbon fiber reinforced polymer (CFRP) composites possess inevitable geometric variabilities across scales, which directly relates to the fluctuations of...

Vine Copula | Damage constitutive laws | Stochastic constitutive model | Uncertainty analysis | Plain woven carbon fiber reinforced polymer | PART I | DESIGN | INITIATION | MATERIALS SCIENCE, COMPOSITES | GENERALIZED POLYNOMIAL CHAOS | REPRESENTATIVE VOLUME ELEMENT | DAMAGE MODEL | DEPENDENT RANDOM-VARIABLES | STRESS STATE | TEXTILE COMPOSITES | QUADRATIC FAILURE CRITERION | Mechanical properties | Models | Polymers | Mechanical engineering | Analysis

Vine Copula | Damage constitutive laws | Stochastic constitutive model | Uncertainty analysis | Plain woven carbon fiber reinforced polymer | PART I | DESIGN | INITIATION | MATERIALS SCIENCE, COMPOSITES | GENERALIZED POLYNOMIAL CHAOS | REPRESENTATIVE VOLUME ELEMENT | DAMAGE MODEL | DEPENDENT RANDOM-VARIABLES | STRESS STATE | TEXTILE COMPOSITES | QUADRATIC FAILURE CRITERION | Mechanical properties | Models | Polymers | Mechanical engineering | Analysis

Journal Article