Search results for "Linear"

showing 10 items of 7165 documents

A Unified Approach to Likelihood Inference on Stochastic Orderings in a Nonparametric Context

1998

Abstract For data in a two-way contingency table with ordered margins, we consider various hypotheses of stochastic orders among the conditional distributions considered by rows and show that each is equivalent to requiring that an invertible transformation of the vectors of conditional row probabilities satisfies an appropriate set of linear inequalities. This leads to the construction of a general algorithm for maximum likelihood estimation under multinomial sampling and provides a simple framework for deriving the asymptotic distribution of log-likelihood ratio tests. The usual stochastic ordering and the so called uniform and likelihood ratio orderings are considered as special cases. I…

Statistics and ProbabilityCombinatoricsIndependent and identically distributed random variablesLinear inequalityTransformation (function)Likelihood-ratio testAsymptotic distributionApplied mathematicsConditional probability distributionStatistics Probability and UncertaintyStochastic orderingStatistical hypothesis testingMathematicsJournal of the American Statistical Association
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Relación entre conos de direcciones decrecientes y conos de direcciones de descenso

1984

Let f: N ? R a convex function and x I Ni, where N is a convex set in a real linear space. It is stated that, if Df<(x) is not empty, then Df<(x) is the algebraic interior of Df=(x).

Statistics and ProbabilityCombinatoricsLinear spaceCalculusConvex setStatistics Probability and UncertaintyAlgebraic numberConvex functionMathematicsTrabajos de Estadistica y de Investigacion Operativa
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The Role of a Second Reservoir in an Open BCS Model

2005

In this paper we use the stochastic limit approach (SLA) in order to analyze some generalized versions of the open BCS model first introduced by Buffet and Martin and recently analyzed by the author using the SLA. In particular, considering different models, we discuss the role of a second reservoir interacting with the first one (but not with the system) in the computation of the critical temperature corresponding to the transition from a normal to a superconducting phase.

Statistics and ProbabilityComputationComplex systemPhase (waves)Statistical and Nonlinear PhysicsBCS ModelLimit (mathematics)Statistical physicstochastic limit approachSettore MAT/07 - Fisica MatematicaMathematical PhysicsMathematicsOpen Systems &amp; Information Dynamics
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Robust estimation and regression with parametric quantile functions

2022

A new, broad family of quantile-based estimators is described, and theoretical and empirical evidence is provided for their robustness to outliers in the response. The proposed method can be used to estimate all types of parameters, including location, scale, rate and shape parameters, extremes, regression coefficients and hazard ratios, and can be extended to censored and truncated data. The described estimator can be utilized to construct robust versions of common parametric and semiparametric methods, such as linear (Normal) regression, generalized linear models, and proportional hazards models. A variety of significant results and applications is presented to show the flexibility of the…

Statistics and ProbabilityComputational MathematicsRobust Cox modelComputational Theory and Mathematicsq-estimatorsR package QestApplied MathematicsQuantile-based estimationRobust linear model
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Fast and universal estimation of latent variable models using extended variational approximations

2022

AbstractGeneralized linear latent variable models (GLLVMs) are a class of methods for analyzing multi-response data which has gained considerable popularity in recent years, e.g., in the analysis of multivariate abundance data in ecology. One of the main features of GLLVMs is their capacity to handle a variety of responses types, such as (overdispersed) counts, binomial and (semi-)continuous responses, and proportions data. On the other hand, the inclusion of unobserved latent variables poses a major computational challenge, as the resulting marginal likelihood function involves an intractable integral for non-normally distributed responses. This has spurred research into a number of approx…

Statistics and ProbabilityComputational Theory and Mathematicsmultivariate abundance datamuuttujatlaplace approximationmulti-response dataordinationStatistics Probability and Uncertaintyvariational approximationsgeneralized linear latent variable modelsestimointiTheoretical Computer ScienceStatistics and Computing
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Modeling the coupled return-spread high frequency dynamics of large tick assets

2015

Large tick assets, i.e. assets where one tick movement is a significant fraction of the price and bid-ask spread is almost always equal to one tick, display a dynamics in which price changes and spread are strongly coupled. We introduce a Markov-switching modeling approach for price change, where the latent Markov process is the transition between spreads. We then use a finite Markov mixture of logit regressions on past squared returns to describe the dependence of the probability of price changes. The model can thus be seen as a Double Chain Markov Model. We show that the model describes the shape of return distribution at different time aggregations, volatility clustering, and the anomalo…

Statistics and ProbabilityComputer Science::Computer Science and Game TheoryVolatility clusteringQuantitative Finance - Trading and Market MicrostructureMarkov chainLogitMarkov processStatistical and Nonlinear PhysicsMarkov modelmodels of financial markets nonlinear dynamics stochastic processesTrading and Market Microstructure (q-fin.TR)FOS: Economics and businesssymbols.namesakesymbolsEconometricsKurtosisFraction (mathematics)Almost surelyStatistics Probability and Uncertainty60J20Mathematics
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Identifying crime generators and spatially overlapping high-risk areas through a nonlinear model: A comparison between three cities of the Valencian …

2021

The behavior and spatial distribution of crime events can be explained through the characterization of an area in terms of its demography, socioeconomy, and built environment. In particular, recent studies on the incidence of crime in a city have focused on the identification of features of the built environment (specific places or facilities) that may increase crime risk within a certain radius. However, it is hard to identify environmental characteristics that consistently explain crime occurrence across cities and crime types. This article focuses on the assessment of the effect that certain types of places have on the incidence of property crime, robbery, and vandalism in three cities o…

Statistics and ProbabilityComputer scienceCrime riskCrime generatorsNon linear modelMonlinear modelValencianlanguage.human_languageConjunctive analysisNonlinear modellanguageSpatial overlapStatistics Probability and UncertaintyCartography
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Estimating the decomposition of predictive information in multivariate systems

2015

In the study of complex systems from observed multivariate time series, insight into the evolution of one system may be under investigation, which can be explained by the information storage of the system and the information transfer from other interacting systems. We present a framework for the model-free estimation of information storage and information transfer computed as the terms composing the predictive information about the target of a multivariate dynamical process. The approach tackles the curse of dimensionality employing a nonuniform embedding scheme that selects progressively, among the past components of the multivariate process, only those that contribute most, in terms of co…

Statistics and ProbabilityComputer scienceEntropyTRANSFER ENTROPYStochastic ProcesseInformation Storage and RetrievalheartAPPROXIMATE ENTROPYMaximum entropy spectral estimationInformation theoryGRANGER CAUSALITYJoint entropyNonlinear DynamicMECHANISMSBinary entropy functionTheoreticalHeart RateModelsInformationSLEEP EEGStatisticsOSCILLATIONSTOOLEntropy (information theory)Multivariate AnalysiElectroencephalography; Entropy; Heart Rate; Information Storage and Retrieval; Linear Models; Nonlinear Dynamics; Sleep; Stochastic Processes; Models Theoretical; Multivariate AnalysisConditional entropyStochastic ProcessesHEART-RATE-VARIABILITYCOMPLEXITYConditional mutual informationBrainElectroencephalographyModels TheoreticalScience GeneralCondensed Matter PhysicscardiorespiratoryNonlinear DynamicsPHYSIOLOGICAL TIME-SERIESSettore ING-INF/06 - Bioingegneria Elettronica E InformaticaMultivariate AnalysisLinear ModelsLinear ModelTransfer entropySleepAlgorithmStatistical and Nonlinear Physic
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Vector coherent states and intertwining operators

2009

In this paper we discuss a general strategy to construct vector coherent states of the Gazeau-Klauder type and we use them to built up examples of isospectral hamiltonians. For that we use a general strategy recently proposed by the author and which extends well known facts on intertwining operators. We also discuss the possibility of constructing non-isospectral hamiltonians with related eigenstates.

Statistics and ProbabilityComputer scienceFOS: Physical sciencesGeneral Physics and AstronomyStatistical and Nonlinear PhysicsMathematical Physics (math-ph)Construct (python library)Intertwining operatorcoherent statesType (model theory)AlgebraIsospectralOperator (computer programming)Modeling and SimulationCoherent statesMathematics::Mathematical PhysicsSettore MAT/07 - Fisica MatematicaEigenvalues and eigenvectorsMathematical Physics
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Preface: Special Issue on Structure in Glassy and Jammed Systems

2016

This special issue presents new developments in our understanding of the role of structure in dynamical arrest and jamming. Articles highlight local geometric motifs and other forms of amorphous order, in experiment, computer simulation and theory.

Statistics and ProbabilityComputer scienceStructure (category theory)Statistical and Nonlinear PhysicsJamming02 engineering and technology021001 nanoscience & nanotechnology01 natural sciencesAmorphous solidOrder (business)0103 physical sciencesStatistical physicsStatistics Probability and Uncertainty010306 general physics0210 nano-technologyJournal of Statistical Mechanics: Theory and Experiment
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