Gatha Cognition®
Perception, Learning and Reasoning
Statistical Theory of Extremes
Statistical Theory of Extremes
Statistical Theory of Extremes

1.Academia das Ciências de Lisboa (Lisbon Academy of Sciences), Lisbon, Portugal.

1) UNESCO Chair in Intangible Heritage and Traditional Know-how: Linking Heritage, University of Évora, Portugal ; and 2) Center of Philosophy of Science, Faculty of Sciences, University of Lisbon, Lisbon, Portugal
Gatha Cognition Free Publication
Cross Referance


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Part-1: Probabilistic Patterns of Univariate Statistical Extremes

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Asymptotics of Univariate Extremes
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Attraction Structure and Speed of Convergence
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Annex-1: On The “Duality” between Extremes and Sums
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Annex-2: On the Khintchine’s Convergence of Types Theorem
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Annex-3: On the δ​​-Method
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Part-2: Statistics for Univariate Extremes

A Quick Exploration of Extreme Data
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Statistical Analysis of the Gumbel Model
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Statistics for Fréchet Distribution
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Statistical Decision for Weibull Distribution for Minima
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Analitic Statistical Choice for Univariate Extremes
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Statistical Analysis With Partial Information
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Part-3: Multivariate Extremes

Bivariate Extremes: Probabilistic Results
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Bivariate Extremes: Models and Statistical Decision
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Multivariate Extremes
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Annex-5: On the Quadrants Method
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Part-4: Stochastic Sequences and Processes of Extremes

Extremes in Random Sequences and Stochastic Processes
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Extremal Sequences and Processes: Basics and Statistics
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Other Processes of Extremes: Basics and Statistics
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Annex-6: On The Choice of Stochastic Processes Models
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Part-5: Complements

GEA-General Extremes Analysis: A guide in natural language
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Some Case Studies
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