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
978-81-932622-3-8
dx.doi.org/10.21523/gcb1
Gatha Cognition Free Publication
Cross Referance

Preface

Preface
Views: 284

Part-1: Probabilistic Patterns of Univariate Statistical Extremes

Introduction
Views: 349
Asymptotics of Univariate Extremes
Views: 394
Attraction Structure and Speed of Convergence
Views: 864
Annex-1: On The “Duality” between Extremes and Sums
Views: 847
Annex-2: On the Khintchine’s Convergence of Types Theorem
Views: 689
Annex-3: On the δ​​-Method
Views: 715
Exercises
Views: 698

Part-2: Statistics for Univariate Extremes

A Quick Exploration of Extreme Data
Views: 756
Statistical Analysis of the Gumbel Model
Views: 615
Statistics for Fréchet Distribution
Views: 643
Statistical Decision for Weibull Distribution for Minima
Views: 687
Analitic Statistical Choice for Univariate Extremes
Views: 695
Statistical Analysis With Partial Information
Views: 756
Annex-4
Views: 742
Exercises
Views: 256

Part-3: Multivariate Extremes

Bivariate Extremes: Probabilistic Results
Views: 845
Bivariate Extremes: Models and Statistical Decision
Views: 864
Multivariate Extremes
Views: 849
Annex-5: On the Quadrants Method
Views: 852
Exercises
Views: 845

Part-4: Stochastic Sequences and Processes of Extremes

Extremes in Random Sequences and Stochastic Processes
Views: 759
Extremal Sequences and Processes: Basics and Statistics
Views: 748
Other Processes of Extremes: Basics and Statistics
Views: 841
Annex-6: On The Choice of Stochastic Processes Models
Views: 841
Exercises
Views: 315

Part-5: Complements

GEA-General Extremes Analysis: A guide in natural language
Views: 862
Some Case Studies
Views: 768
Exercises
Views: 435
Book Call For Book