José Tiago de Fonseca Oliveira : Scholar - Gatha Cognition

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Gatha Cognition®
Perception, Learning and Reasoning

Scholar Profile

30Publications2017
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chapterPreface

Statistical Theory of Extremes · pp. I-III · 2017 · doi:10.21523/gcb1.1701
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0 OpenAlex
1,126 views

chapterIntroduction

Statistical Theory of Extremes · pp. 1-10 · 2017 · doi:10.21523/gcb1.1702
Asymptotic behavioursAsymptotic distributionExceedancesOrder statisticsWeibull distributionStochastic ModelExperimental digression
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0 OpenAlex
1,175 views

chapterAsymptotics of Univariate Extremes

Statistical Theory of Extremes · pp. 11-44 · 2017 · doi:10.21523/gcb1.1703
Weibull distributionsFréchet distributionsGumbel distributionsMax-stabilityLLN for extremes
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0 OpenAlex
1,286 views

chapterAttraction Structure and Speed of Convergence

Statistical Theory of Extremes · pp. 45-62 · 2017 · doi:10.21523/gcb1.1704
Tail equivalentSlow variationQuantile functionSpeed of convergenceAttraction coefficients
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2,403 views
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1,570 views
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1,484 views
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1,463 views

chapterExercises

Statistical Theory of Extremes · pp. 70-77 · 2017 · doi:10.21523/gcb1.1708
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1,606 views

chapterA Quick Exploration of Extreme Data

Statistical Theory of Extremes · pp. 78-92 · 2017 · doi:10.21523/gcb1.1709
Extreme values trilemmaProbability paperStatistical choice
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0 OpenAlex
1,627 views

chapterStatistical Analysis of the Gumbel Model

Statistical Theory of Extremes · pp. 93-120 · 2017 · doi:10.21523/gcb1.1710
Tolerance intervalsTest of hypothesesBLIEMEMLEStatistical inference
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0 OpenAlex
2,120 views

chapterStatistics for Fréchet Distribution

Statistical Theory of Extremes · pp. 121-129 · 2017 · doi:10.21523/gcb1.1711
Fréchet distribution of maximaLocation and dispersion parametersWeibull distribution of minimaMoment generating functionEstimation, testing, and point predictionMLEConfidence region
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0 OpenAlex
1,479 views

chapterStatistical Decision for Weibull Distribution for Minima

Statistical Theory of Extremes · pp. 130-157 · 2017 · doi:10.21523/gcb1.1712
Weibull distributionMinimaPoint predictionTime-to-failure
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0 OpenAlex
1,538 views

chapterAnalitic Statistical Choice for Univariate Extremes

Statistical Theory of Extremes · pp. 158-173 · 2017 · doi:10.21523/gcb1.1713
Weibull distributionGumbel distributionFréchet distributionLocally optimal approachVariational approach
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0 OpenAlex
1,460 views

chapterStatistical Analysis With Partial Information

Statistical Theory of Extremes · pp. 174-200 · 2017 · doi:10.21523/gcb1.1714
Extreme observationsLower tailSubsample methodLargest observationsSubsample maximaBock partitions
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0 OpenAlex
1,704 views

chapterAnnex-4

Statistical Theory of Extremes · pp. 201-219 · 2017 · doi:10.21523/gcb1.1715
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1,520 views

chapterExercises

Statistical Theory of Extremes · pp. 220-228 · 2017 · doi:10.21523/gcb1.1716
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2,240 views

chapterBivariate Extremes: Probabilistic Results

Statistical Theory of Extremes · pp. 229-268 · 2017 · doi:10.21523/gcb1.1717
Bivariate asymptotic distributionsUnivariate extremesCorrelationRegressionBivariate reduced extremes
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0 OpenAlex
1,584 views

chapterBivariate Extremes: Models and Statistical Decision

Statistical Theory of Extremes · pp. 269-300 · 2017 · doi:10.21523/gcb1.1718
Statistical decisionAsymptotic approximationSamplesDifferentiable modelsLogistic modes
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0 OpenAlex
1,577 views

chapterMultivariate Extremes

Statistical Theory of Extremes · pp. 301-310 · 2017 · doi:10.21523/gcb1.1719
Bivariate modelsCorrelation coefficientsLinear regressionMultivariate extreme distributionProsbabilistic theoryVariance
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1,659 views
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1,518 views

chapterExercises

Statistical Theory of Extremes · pp. 313-318 · 2017 · doi:10.21523/gcb1.1721
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1,648 views

chapterExtremes in Random Sequences and Stochastic Processes

Statistical Theory of Extremes · pp. 319-332 · 2017 · doi:10.21523/gcb1.1722
Global extremesLocal extremesWiener-Lévy processesGaussian stationary processesStochastic processesRandom sequence
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2,038 views

chapterExtremal Sequences and Processes: Basics and Statistics

Statistical Theory of Extremes · pp. 333-353 · 2017 · doi:10.21523/gcb1.1723
Extremal sequencesExtremal processesMaximaIndependent extremesLimiting characterizationsParameterizationErgodic theorem
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0 OpenAlex
1,709 views

chapterOther Processes of Extremes: Basics and Statistics

Statistical Theory of Extremes · pp. 354-379 · 2017 · doi:10.21523/gcb1.17024
ExtremesExtreme-Markovian-stationaryNormal-Markovian-stationarySliding extreme (SE) sequencesStatistical decision
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1,542 views
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1,528 views

chapterExercises

Statistical Theory of Extremes · pp. 382-384 · 2017 · doi:10.21523/gcb1.17026
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1,062 views

chapterGEA-General Extremes Analysis: A guide in natural language

Statistical Theory of Extremes · pp. 385-389 · 2017 · doi:10.21523/gcb1.1727
Non-diagram fluxogramStatistical Choice of ModelMultivariate ModelStochastic processes
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0 OpenAlex
1,575 views

chapterSome Case Studies

Statistical Theory of Extremes · pp. 390-399 · 2017 · doi:10.21523/gcb1.1728
Univariate extremes dataMultivariate extremes dataMultivariate extremesExceedance probabilities
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1,562 views

chapterExercises

Statistical Theory of Extremes · pp. 400-401 · 2017 · doi:10.21523/gcb1.1729
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1,195 views
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Publications per year
Research topics
Weibull distribution3MLE2Statistical decision2Stochastic processes2Asymptotic approximationAsymptotic behavioursAsymptotic distributionAttraction coefficientsBLIEBivariate asymptotic distributionsBivariate modelsBivariate reduced extremesBock partitionsConfidence regionCorrelationCorrelation coefficientsDifferentiable modelsErgodic theorem
Published in
  • Statistical Theory of Extremes (29)