José Tiago de Fonseca Oliveira : Scholar - Gatha Cognition
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Scholar Profile
Professor. José Tiago de Fonseca Oliveira
(1928-1992)
Mathematician, Statistician and Professor
Academia das Ciências de Lisboa (Lisbon Academy of Sciences), Lisbon, Portugal.
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Authorship
Books (1)
Statistical Theory of Extremes
Author(s) :
Professor. José Tiago de Fonseca Oliveira
Managing Editor :
Professor. José Carlos Brandão Tiago de Oliveira
DOI :
https://doi.org/10.21523/gcb1
Book Chapters (28)
Preface
Author(s) :
Professor. José Tiago de Fonseca Oliveira
Pages :
I-III
DOI :
http://dx.doi.org/10.21523/gcb1.1701
Abstract
Graphical Abstract
Highlights
Full Text
Recommend
Introduction
Author(s) :
Professor. José Tiago de Fonseca Oliveira
Pages :
1-10
DOI :
http://dx.doi.org/10.21523/gcb1.1702
Keywords :
Asymptotic behaviours,Asymptotic distribution,Exceedances,Order statistics,Weibull distribution,Stochastic Model,Experimental digression
Abstract
Graphical Abstract
Highlights
Full Text
Recommend
Asymptotics of Univariate Extremes
Author(s) :
Professor. José Tiago de Fonseca Oliveira
Pages :
11-44
DOI :
http://dx.doi.org/10.21523/gcb1.1703
Keywords :
Weibull distributions,Fréchet distributions,Gumbel distributions,Max-stability,LLN for extremes
Abstract
Graphical Abstract
Highlights
Full Text
Recommend
Attraction Structure and Speed of Convergence
Author(s) :
Professor. José Tiago de Fonseca Oliveira
Pages :
45-62
DOI :
http://dx.doi.org/10.21523/gcb1.1704
Keywords :
Tail equivalent,Slow variation,Quantile function,Speed of convergence,Attraction coefficients
Abstract
Graphical Abstract
Highlights
Full Text
Recommend
Statistical Analysis of the Gumbel Model
Author(s) :
Professor. José Tiago de Fonseca Oliveira
Pages :
93-120
DOI :
http://dx.doi.org/10.21523/gcb1.1710
Keywords :
Tolerance intervals,Test of hypotheses,BLIE,ME,MLE,Statistical inference
Abstract
Graphical Abstract
Highlights
Full Text
Recommend
Statistics for Fréchet Distribution
Author(s) :
Professor. José Tiago de Fonseca Oliveira
Pages :
121-129
DOI :
http://dx.doi.org/10.21523/gcb1.1711
Keywords :
Fréchet distribution of maxima,Location and dispersion parameters,Weibull distribution of minima,Moment generating function,Estimation, testing, and point prediction,MLE,Confidence region
Abstract
Graphical Abstract
Highlights
Full Text
Recommend
Statistical Decision for Weibull Distribution for Minima
Author(s) :
Professor. José Tiago de Fonseca Oliveira
Pages :
130-157
DOI :
http://dx.doi.org/10.21523/gcb1.1712
Keywords :
Weibull distribution,Minima,Point prediction,Time-to-failure
Abstract
Graphical Abstract
Highlights
Full Text
Recommend
Analitic Statistical Choice for Univariate Extremes
Author(s) :
Professor. José Tiago de Fonseca Oliveira
Pages :
158-173
DOI :
http://dx.doi.org/10.21523/gcb1.1713
Keywords :
Weibull distribution,Gumbel distribution,Fréchet distribution,Locally optimal approach,Variational approach
Abstract
Graphical Abstract
Highlights
Full Text
Recommend
Statistical Analysis With Partial Information
Author(s) :
Professor. José Tiago de Fonseca Oliveira
Pages :
174-200
DOI :
http://dx.doi.org/10.21523/gcb1.1714
Keywords :
Extreme observations,Lower tail,Subsample method,Largest observations,Subsample maxima,Bock partitions
Abstract
Graphical Abstract
Highlights
Full Text
Recommend
Bivariate Extremes: Probabilistic Results
Author(s) :
Professor. José Tiago de Fonseca Oliveira
Pages :
229-268
DOI :
http://dx.doi.org/10.21523/gcb1.1717
Keywords :
Bivariate asymptotic distributions,Univariate extremes,Correlation,Regression,Bivariate reduced extremes
Abstract
Graphical Abstract
Highlights
Full Text
Recommend
Bivariate Extremes: Models and Statistical Decision
Author(s) :
Professor. José Tiago de Fonseca Oliveira
Pages :
269-300
DOI :
http://dx.doi.org/10.21523/gcb1.1718
Keywords :
Statistical decision,Asymptotic approximation,Samples,Differentiable models,Logistic modes
Abstract
Graphical Abstract
Highlights
Full Text
Recommend
Multivariate Extremes
Author(s) :
Professor. José Tiago de Fonseca Oliveira
Pages :
301-310
DOI :
http://dx.doi.org/10.21523/gcb1.1719
Keywords :
Bivariate models,Correlation coefficients,Linear regression,Multivariate extreme distribution,Prosbabilistic theory,Variance
Abstract
Graphical Abstract
Highlights
Full Text
Recommend
Extremes in Random Sequences and Stochastic Processes
Author(s) :
Professor. José Tiago de Fonseca Oliveira
Pages :
319-332
DOI :
http://dx.doi.org/10.21523/gcb1.1722
Keywords :
Global extremes,Local extremes,Wiener-Lévy processes,Gaussian stationary processes,Stochastic processes,Random sequence
Abstract
Graphical Abstract
Highlights
Full Text
Recommend
Extremal Sequences and Processes: Basics and Statistics
Author(s) :
Professor. José Tiago de Fonseca Oliveira
Pages :
333-353
DOI :
http://dx.doi.org/10.21523/gcb1.1723
Keywords :
Extremal sequences,Extremal processes,Maxima,Independent extremes,Limiting characterizations,Parameterization,Ergodic theorem
Abstract
Graphical Abstract
Highlights
Full Text
Recommend
Other Processes of Extremes: Basics and Statistics
Author(s) :
Professor. José Tiago de Fonseca Oliveira
Pages :
354-379
DOI :
http://dx.doi.org/10.21523/gcb1.17024
Keywords :
Extremes,Extreme-Markovian-stationary,Normal-Markovian-stationary,Sliding extreme (SE) sequences,Statistical decision
Abstract
Graphical Abstract
Highlights
Full Text
Recommend
GEA-General Extremes Analysis: A guide in natural language
Author(s) :
Professor. José Tiago de Fonseca Oliveira
Pages :
385-389
DOI :
http://dx.doi.org/10.21523/gcb1.1727
Keywords :
Non-diagram fluxogram,Statistical Choice of Model,Multivariate Model,Stochastic processes
Abstract
Graphical Abstract
Highlights
Full Text
Recommend
Annex-1: On The “Duality” between Extremes and Sums
Author(s) :
Professor. José Tiago de Fonseca Oliveira
Pages :
63-64
DOI :
http://dx.doi.org/10.21523/gcb1.1705
Abstract
Graphical Abstract
Highlights
Full Text
Recommend
Some Case Studies
Author(s) :
Professor. José Tiago de Fonseca Oliveira
Pages :
390-399
DOI :
http://dx.doi.org/10.21523/gcb1.1728
Keywords :
Univariate extremes data,Multivariate extremes data,Multivariate extremes,Exceedance probabilities
Abstract
Graphical Abstract
Highlights
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Recommend
Annex-2: On the Khintchine’s Convergence of Types Theorem
Author(s) :
Professor. José Tiago de Fonseca Oliveira
Pages :
65-66
DOI :
http://dx.doi.org/10.21523/gcb1.1706
Abstract
Graphical Abstract
Highlights
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Recommend
Annex-3: On the δ-Method
Author(s) :
Professor. José Tiago de Fonseca Oliveira
Pages :
67-69
DOI :
http://dx.doi.org/10.21523/gcb1.1707
Abstract
Graphical Abstract
Highlights
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Recommend
Exercises
Author(s) :
Professor. José Tiago de Fonseca Oliveira
Pages :
70-77
DOI :
http://dx.doi.org/10.21523/gcb1.1708
Abstract
Graphical Abstract
Highlights
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Recommend
Exercises
Author(s) :
Professor. José Tiago de Fonseca Oliveira
Pages :
313-318
DOI :
http://dx.doi.org/10.21523/gcb1.1721
Abstract
Graphical Abstract
Highlights
Full Text
Recommend
Annex-4
Author(s) :
Professor. José Tiago de Fonseca Oliveira
Pages :
201-219
DOI :
http://dx.doi.org/10.21523/gcb1.1715
Abstract
Graphical Abstract
Highlights
Full Text
Recommend
Annex-5: On the Quadrants Method
Author(s) :
Professor. José Tiago de Fonseca Oliveira
Pages :
311-312
DOI :
http://dx.doi.org/10.21523/gcb1.1720
Abstract
Graphical Abstract
Highlights
Full Text
Recommend
Annex-6: On The Choice of Stochastic Processes Models
Author(s) :
Professor. José Tiago de Fonseca Oliveira
Pages :
380-381
DOI :
http://dx.doi.org/10.21523/gcb1.17025
Abstract
Graphical Abstract
Highlights
Full Text
Recommend
Exercises
Author(s) :
Professor. José Tiago de Fonseca Oliveira
Pages :
382-384
DOI :
http://dx.doi.org/10.21523/gcb1.17026
Abstract
Graphical Abstract
Highlights
Full Text
Recommend
Exercises
Author(s) :
Professor. José Tiago de Fonseca Oliveira
Pages :
400-401
DOI :
http://dx.doi.org/10.21523/gcb1.1729
Abstract
Graphical Abstract
Highlights
Full Text
Recommend
Exercises
Author(s) :
Professor. José Tiago de Fonseca Oliveira
Pages :
220-228
DOI :
http://dx.doi.org/10.21523/gcb1.1716
Abstract
Graphical Abstract
Highlights
Full Text
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