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Extreme value theory in engineering /
This book is a comprehensive guide to extreme value theory in engineering. Written for the end user with intermediate and advanced statistical knowledge, it covers classical methods as well as recent advances. A collection of 150 examples illustrates the theoretical results and takes the reader from...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Boston :
Academic Press,
©1988.
|
| Colección: | Statistical modeling and decision science.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Castillo, Enrique, |d 1946- |1 https://id.oclc.org/worldcat/entity/E39PBJbtmcjvdFmJ4phXJHjKVC | |
| 245 | 1 | 0 | |a Extreme value theory in engineering / |c Enrique Castillo. |
| 260 | |a Boston : |b Academic Press, |c ©1988. | ||
| 300 | |a 1 online resource (xv, 389 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Statistical modeling and decision science. | |
| 504 | |a Includes bibliographical references (pages 341-382) and index. | ||
| 588 | 0 | |a Print version record. | |
| 520 | |a This book is a comprehensive guide to extreme value theory in engineering. Written for the end user with intermediate and advanced statistical knowledge, it covers classical methods as well as recent advances. A collection of 150 examples illustrates the theoretical results and takes the reader from simple applications through complex cases of dependence. | ||
| 505 | 0 | |a Front Cover; Extreme Value Theory in Engineering; Copyright Page; Table of Contents; Preface; Part I: Introduction; Chapter 1. Introduction and Motivation; 1.1. Introduction; 1.2. Some Engineering Examples Where Extreme Value Theory Is of Significance; 1.3. New Developments in Extreme Value Theory; 1.4. Aim of the Book; 1.5. Organization of the Book; 1.6. Some Classical Statistical Concepts; Part II: Order Statistics; Chapter 2. Order Statistics; 2.1. Introduction; 2.2. Concept of Order Statistic; 2.3. Order Statistics from Independent and Identically Distributed Samples. | |
| 505 | 8 | |a 2.4. Order Statistics from Dependent SamplesPart III: Asymptotic Distribution of Sequences of Independent Random Variables; Chapter 3. Asymptotic Distributions of Maxima and Minima (I.I.D. Case); 3.1. Introduction and Motivation; 3.2. Statement of the Problem; 3.3. Limit Distributions and Domains of Attraction; 3.4. Von-Mises Forms; 3.5. Normalizing Constants; 3.6. Domain of Attraction of a Given Distribution; 3.7. Asymptotic Joint Distribution of Maxima and Minima; 3.8. Asymptotic Distributions of Range and Midrange; 3.9. Asymptotic Distributions of Maxima of Samples with Random Size. | |
| 505 | 8 | |a 3.10. Approximation of Distribution Functions in Their Tails3.11. The Penultimate Form of Approximation to Extremes; Chapter 4. Shortcut Procedures: Probability Papers and Least-Squares Methods; 4.1. Introduction; 4.2. The Theoretical Bases of Probability Paper; 4.3. The Problem of Plotting Positions; 4.4. Acceptance Regions; 4.5. Some Recommendations for the Use of Probability Papers in Extreme Value Problems; 4.6. Weighted Least-Squares Methods; Chapter 5. The Gumbel, Weibull and Frechet Distributions; 5.1. Introduction; 5.2. The Gumbel Distribution; 5.3. The Weibull Distribution. | |
| 505 | 8 | |a 5.4. The Frechet DistributionChapter 6. Selection of Limit Distributions from Data; 6.1. Statement of the Problem; 6.2. Methods for Determining the Domain of Attraction of a Parent Distribution from Samples; Chapter 7. Limit Distributions of k-th order Statistics; 7.1. Introduction; 7.2. Statement of the Problem and Previous Definitions; 7.3. Limit Distributions of Upper and Lower Order Statistics; 7.4. Limit Distributions of Other Order Statistics; 7.5. Asymptotic Distributions of k-th Order Statistics of Samples with Random Sizes. | |
| 505 | 8 | |a Part IV: Asymptotic Distribution of Sequences of Dependent Random VariablesChapter 8. Limit Distributions in the Case of Dependence; 8.1. Introduction; 8.2. Exchangeable Variables; 8.3. Dependence Conditions; 8.4. Limit Distributions of Maxima and Minima; 8.5. Asymptotic Distributions of k-th Extremes; Part V: Multivariate Case; Chapter 9. Multivariate and Regression Models Related to Extremes; 9.1. Introduction; 9.2. Regression Models; 9.3. Bivariate Models with Weibull Conditionals; Chapter 10. Multivariate Extremes; 10.1. Introduction; 10.2. Dependence Functions; 10.3. Limit Distributions. | |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Extreme value theory. | |
| 650 | 0 | |a Mathematical statistics. | |
| 650 | 6 | |a Théorie des valeurs extrêmes. | |
| 650 | 6 | |a Statistique mathématique. | |
| 650 | 7 | |a MATHEMATICS |x Probability & Statistics |x General. |2 bisacsh | |
| 650 | 7 | |a Extreme value theory |2 fast | |
| 650 | 7 | |a Mathematical statistics |2 fast | |
| 650 | 7 | |a Extremwertstatistik |2 gnd | |
| 650 | 7 | |a Statistique mathématique. |2 ram | |
| 650 | 7 | |a Valeurs extrêmes, théorie des. |2 ram | |
| 776 | 0 | 8 | |i Print version: |a Castillo, Enrique, 1946- |t Extreme value theory in engineering. |d Boston : Academic Press, ©1988 |z 0121634752 |w (DLC) 87016792 |w (OCoLC)17232708 |
| 830 | 0 | |a Statistical modeling and decision science. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=1179807 |z Texto completo |
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