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30Publications2017
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chapterPreface
Statistical Theory of Extremes · pp. I-III · 2017 · doi:10.21523/gcb1.1701
0 Crossref
0 OpenAlex
1,209 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
1,285 views
chapterAsymptotics of Univariate Extremes
Statistical Theory of Extremes · pp. 11-44 · 2017 · doi:10.21523/gcb1.1703
Weibull DistributionFréchet DistributionsGumbel DistributionsMax-stabilityLLN for Extremes
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0 OpenAlex
1,422 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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0 OpenAlex
2,522 views
chapterAnnex-1: On The “Duality” between Extremes and Sums
Statistical Theory of Extremes · pp. 63-64 · 2017 · doi:10.21523/gcb1.1705
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0 OpenAlex
1,701 views
chapterAnnex-2: On the Khintchine’s Convergence of Types Theorem
Statistical Theory of Extremes · pp. 65-66 · 2017 · doi:10.21523/gcb1.1706
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0 OpenAlex
1,602 views
chapterAnnex-3: On the δ-Method
Statistical Theory of Extremes · pp. 67-69 · 2017 · doi:10.21523/gcb1.1707
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0 OpenAlex
1,569 views
chapterExercises
Statistical Theory of Extremes · pp. 70-77 · 2017 · doi:10.21523/gcb1.1708
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0 OpenAlex
1,696 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
1,758 views
chapterStatistical Analysis of the Gumbel Model
Statistical Theory of Extremes · pp. 93-120 · 2017 · doi:10.21523/gcb1.1710
Tolerance IntervalsTest of HypothesesBLIEMLEStatistical Inference
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0 OpenAlex
2,300 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 FunctionEstimationsTestingPoint PredictionMLEConfidence Region
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0 OpenAlex
1,584 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
1,653 views
chapterAnalitic Statistical Choice for Univariate Extremes
Statistical Theory of Extremes · pp. 158-173 · 2017 · doi:10.21523/gcb1.1713
Weibull DistributionGumbel DistributionsFréchet DistributionsLocally Optimal ApproachVariational Approach
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0 OpenAlex
1,564 views
chapterStatistical Analysis With Partial Information
Statistical Theory of Extremes · pp. 174-200 · 2017 · doi:10.21523/gcb1.1714
Extreme ObservationsLower TailSubsample MethodLargest ObservationsSubsample MaximaBlock Partitions
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0 OpenAlex
1,811 views
chapterAnnex-4
Statistical Theory of Extremes · pp. 201-219 · 2017 · doi:10.21523/gcb1.1715
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0 OpenAlex
1,622 views
chapterExercises
Statistical Theory of Extremes · pp. 220-228 · 2017 · doi:10.21523/gcb1.1716
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0 OpenAlex
2,327 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
1,682 views
chapterBivariate Extremes: Models and Statistical Decision
Statistical Theory of Extremes · pp. 269-300 · 2017 · doi:10.21523/gcb1.1718
Statistical DecisionAsymptotic ApproximationSamplesDifferentiable ModelsLogistic Models
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0 OpenAlex
1,665 views
chapterMultivariate Extremes
Statistical Theory of Extremes · pp. 301-310 · 2017 · doi:10.21523/gcb1.1719
Bivariate ModelsCorrelation CoefficientsLinear RegressionMultivariate Extreme DistributionProbabilistic TheoryVariance
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0 OpenAlex
1,837 views
chapterAnnex-5: On the Quadrants Method
Statistical Theory of Extremes · pp. 311-312 · 2017 · doi:10.21523/gcb1.1720
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0 OpenAlex
1,631 views
chapterExercises
Statistical Theory of Extremes · pp. 313-318 · 2017 · doi:10.21523/gcb1.1721
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0 OpenAlex
1,740 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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0 OpenAlex
2,182 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
1,847 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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0 OpenAlex
1,672 views
chapterAnnex-6: On The Choice of Stochastic Processes Models
Statistical Theory of Extremes · pp. 380-381 · 2017 · doi:10.21523/gcb1.17025
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0 OpenAlex
1,647 views
chapterExercises
Statistical Theory of Extremes · pp. 382-384 · 2017 · doi:10.21523/gcb1.17026
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0 OpenAlex
1,160 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
1,720 views
chapterSome Case Studies
Statistical Theory of Extremes · pp. 390-399 · 2017 · doi:10.21523/gcb1.1728
Univariate Extremes DataMultivariate Extremes DataMultivariate ExtremesExceedance Probability
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0 OpenAlex
1,640 views
chapterExercises
Statistical Theory of Extremes · pp. 400-401 · 2017 · doi:10.21523/gcb1.1729
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0 OpenAlex
1,278 views
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Research topics
Weibull Distribution4Fréchet Distributions2Gumbel Distributions2MLE2Point Prediction2Statistical Decision2Stochastic Processes2Asymptotic ApproximationAsymptotic BehavioursAsymptotic DistributionAttraction CoefficientsBLIEBivariate Asymptotic DistributionsBivariate ModelsBivariate Reduced ExtremesBlock PartitionsConfidence RegionCorrelationPublished in
- Statistical Theory of Extremes (29)