Correlation and dependence /:
The concept of dependence permeates the Earth and its inhabitants in a most profound manner. Examples of interdependent meteorological phenomena in nature and interdependence in the medical, social, and political aspects of our existence, not to mention the economic structures, are too numerous to b...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
London : River Edge, NJ :
Imperial College Press ; Distributed by World Scientific Pub. Co.,
©2001.
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| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | The concept of dependence permeates the Earth and its inhabitants in a most profound manner. Examples of interdependent meteorological phenomena in nature and interdependence in the medical, social, and political aspects of our existence, not to mention the economic structures, are too numerous to be cited individually. Moreover, the dependence is obviously not deterministic but of a stochastic nature. However, it seems that none of the departments of statistics, engineering, economics and mathematics in the academic institutions throughout the world offer courses dealing with dependence conce. |
| Beschreibung: | 1 online resource (xiv, 219 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 203-215) and index. |
| ISBN: | 9781860949753 1860949754 1281869481 9781281869487 |
Internformat
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| 245 | 1 | 0 | |a Correlation and dependence / |c Dominique Drouet Mari, Samuel Kotz. |
| 260 | |a London : |b Imperial College Press ; |a River Edge, NJ : |b Distributed by World Scientific Pub. Co., |c ©2001. | ||
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| 504 | |a Includes bibliographical references (pages 203-215) and index. | ||
| 588 | 0 | |a Print version record. | |
| 520 | |a The concept of dependence permeates the Earth and its inhabitants in a most profound manner. Examples of interdependent meteorological phenomena in nature and interdependence in the medical, social, and political aspects of our existence, not to mention the economic structures, are too numerous to be cited individually. Moreover, the dependence is obviously not deterministic but of a stochastic nature. However, it seems that none of the departments of statistics, engineering, economics and mathematics in the academic institutions throughout the world offer courses dealing with dependence conce. | ||
| 505 | 0 | |a Ch. 1. Notations and definitions. 1.1. Notations. 1.2. Definitions -- ch. 2. Correlation and dependence: an introspection. 2.1. Independence. 2.2. Zero correlation versus dependence. 2.3. Some geometrical examples. 2.4. Some further historical remarks. 2.5. A brief tour of early applications and misinterpretations -- ch. 3. Concepts of dependence and stochastic ordering. 3.1. Introduction. 3.2. Concepts of positive dependence. 3.3. Negative dependence for more than two variables. 3.4. Setwise dependence. 3.5. Other approaches. 3.6. Positive dependence orderings. 3.7. Bayesian approach to stochastic dependence -- ch. 4. Copulas. 4.1. Introduction. 4.2. Definition and some properties. 4.3. The Fréchet bounds. 4.4. Examples. 4.5. Construction of a copula. 4.6. Archimedean copulas. 4.7. Archimax copulas. 4.8. Copulas with discontinuity constraints. 4.9. Copulas with more than two variables. 4.10. Simulation procedures -- ch. 5. Farlie-Gumbel-Morgenstern models of dependence. 5.1. Introduction. 5.2. Initial definition. 5.3. Regression and correlation. 5.4. Iterations. 5.5. Dependence properties. 5.6. A class of [symbol]-variate FGM distributions. 5.7. Further extensions. 5.8. FGM sequences -- ch. 6. Global versus local dependence between random variables. 6.1. Introduction. 6.2. Global measures of dependence. 6.3. Local indices of dependence. 6.4. Non-parametric estimation of local indices. 6.5. A search for the localisation of the maximal association. | |
| 650 | 0 | |a Correlation (Statistics) |0 http://id.loc.gov/authorities/subjects/sh85033032 | |
| 650 | 0 | |a Dependence (Statistics) |0 http://id.loc.gov/authorities/subjects/sh2001002906 | |
| 650 | 6 | |a Corrélation (Statistique) | |
| 650 | 6 | |a Dépendance (Statistique) | |
| 650 | 7 | |a correlation. |2 aat | |
| 650 | 7 | |a MATHEMATICS |x Probability & Statistics |x General. |2 bisacsh | |
| 650 | 7 | |a Correlation (Statistics) |2 fast | |
| 650 | 7 | |a Dependence (Statistics) |2 fast | |
| 650 | 1 | 7 | |a Correlatieanalyse. |2 gtt |
| 650 | 7 | |a Inferência estatística. |2 larpcal | |
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Datensatz im Suchindex
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| _version_ | 1816881678940897280 |
| adam_text | |
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| author | Mari, Dominique Drouet |
| author2 | Kotz, Samuel |
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| author_GND | http://id.loc.gov/authorities/names/n2001000023 http://id.loc.gov/authorities/names/n50044201 |
| author_facet | Mari, Dominique Drouet Kotz, Samuel |
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| callnumber-first | Q - Science |
| callnumber-label | QA278 |
| callnumber-raw | QA278.2 .M36 2001eb |
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| contents | Ch. 1. Notations and definitions. 1.1. Notations. 1.2. Definitions -- ch. 2. Correlation and dependence: an introspection. 2.1. Independence. 2.2. Zero correlation versus dependence. 2.3. Some geometrical examples. 2.4. Some further historical remarks. 2.5. A brief tour of early applications and misinterpretations -- ch. 3. Concepts of dependence and stochastic ordering. 3.1. Introduction. 3.2. Concepts of positive dependence. 3.3. Negative dependence for more than two variables. 3.4. Setwise dependence. 3.5. Other approaches. 3.6. Positive dependence orderings. 3.7. Bayesian approach to stochastic dependence -- ch. 4. Copulas. 4.1. Introduction. 4.2. Definition and some properties. 4.3. The Fréchet bounds. 4.4. Examples. 4.5. Construction of a copula. 4.6. Archimedean copulas. 4.7. Archimax copulas. 4.8. Copulas with discontinuity constraints. 4.9. Copulas with more than two variables. 4.10. Simulation procedures -- ch. 5. Farlie-Gumbel-Morgenstern models of dependence. 5.1. Introduction. 5.2. Initial definition. 5.3. Regression and correlation. 5.4. Iterations. 5.5. Dependence properties. 5.6. A class of [symbol]-variate FGM distributions. 5.7. Further extensions. 5.8. FGM sequences -- ch. 6. Global versus local dependence between random variables. 6.1. Introduction. 6.2. Global measures of dependence. 6.3. Local indices of dependence. 6.4. Non-parametric estimation of local indices. 6.5. A search for the localisation of the maximal association. |
| ctrlnum | (OCoLC)262610199 |
| dewey-full | 519.5/37 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.5/37 |
| dewey-search | 519.5/37 |
| dewey-sort | 3519.5 237 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | ZDB-4-EBA-ocn262610199 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:16:33Z |
| institution | BVB |
| isbn | 9781860949753 1860949754 1281869481 9781281869487 |
| language | English |
| oclc_num | 262610199 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xiv, 219 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | Imperial College Press ; Distributed by World Scientific Pub. Co., |
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| spelling | Mari, Dominique Drouet. https://id.oclc.org/worldcat/entity/E39PCjD8fj7KRHP4p4fKbJvDYP http://id.loc.gov/authorities/names/n2001000023 Correlation and dependence / Dominique Drouet Mari, Samuel Kotz. London : Imperial College Press ; River Edge, NJ : Distributed by World Scientific Pub. Co., ©2001. 1 online resource (xiv, 219 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier data file Includes bibliographical references (pages 203-215) and index. Print version record. The concept of dependence permeates the Earth and its inhabitants in a most profound manner. Examples of interdependent meteorological phenomena in nature and interdependence in the medical, social, and political aspects of our existence, not to mention the economic structures, are too numerous to be cited individually. Moreover, the dependence is obviously not deterministic but of a stochastic nature. However, it seems that none of the departments of statistics, engineering, economics and mathematics in the academic institutions throughout the world offer courses dealing with dependence conce. Ch. 1. Notations and definitions. 1.1. Notations. 1.2. Definitions -- ch. 2. Correlation and dependence: an introspection. 2.1. Independence. 2.2. Zero correlation versus dependence. 2.3. Some geometrical examples. 2.4. Some further historical remarks. 2.5. A brief tour of early applications and misinterpretations -- ch. 3. Concepts of dependence and stochastic ordering. 3.1. Introduction. 3.2. Concepts of positive dependence. 3.3. Negative dependence for more than two variables. 3.4. Setwise dependence. 3.5. Other approaches. 3.6. Positive dependence orderings. 3.7. Bayesian approach to stochastic dependence -- ch. 4. Copulas. 4.1. Introduction. 4.2. Definition and some properties. 4.3. The Fréchet bounds. 4.4. Examples. 4.5. Construction of a copula. 4.6. Archimedean copulas. 4.7. Archimax copulas. 4.8. Copulas with discontinuity constraints. 4.9. Copulas with more than two variables. 4.10. Simulation procedures -- ch. 5. Farlie-Gumbel-Morgenstern models of dependence. 5.1. Introduction. 5.2. Initial definition. 5.3. Regression and correlation. 5.4. Iterations. 5.5. Dependence properties. 5.6. A class of [symbol]-variate FGM distributions. 5.7. Further extensions. 5.8. FGM sequences -- ch. 6. Global versus local dependence between random variables. 6.1. Introduction. 6.2. Global measures of dependence. 6.3. Local indices of dependence. 6.4. Non-parametric estimation of local indices. 6.5. A search for the localisation of the maximal association. Correlation (Statistics) http://id.loc.gov/authorities/subjects/sh85033032 Dependence (Statistics) http://id.loc.gov/authorities/subjects/sh2001002906 Corrélation (Statistique) Dépendance (Statistique) correlation. aat MATHEMATICS Probability & Statistics General. bisacsh Correlation (Statistics) fast Dependence (Statistics) fast Correlatieanalyse. gtt Inferência estatística. larpcal Kotz, Samuel. https://id.oclc.org/worldcat/entity/E39PBJxCBMMmYjbjY4cGqWrQbd http://id.loc.gov/authorities/names/n50044201 has work: Correlation and dependence (Text) https://id.oclc.org/worldcat/entity/E39PCFY4XKFxY4rMWBb77fHCpP https://id.oclc.org/worldcat/ontology/hasWork Print version: Mari, Dominique Drouet. Correlation and dependence. London : Imperial College Press ; River Edge, NJ : Distributed by World Scientific Pub. Co., ©2001 1860942644 9781860942648 (DLC) 2001016777 (OCoLC)45861796 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=235540 Volltext |
| spellingShingle | Mari, Dominique Drouet Correlation and dependence / Ch. 1. Notations and definitions. 1.1. Notations. 1.2. Definitions -- ch. 2. Correlation and dependence: an introspection. 2.1. Independence. 2.2. Zero correlation versus dependence. 2.3. Some geometrical examples. 2.4. Some further historical remarks. 2.5. A brief tour of early applications and misinterpretations -- ch. 3. Concepts of dependence and stochastic ordering. 3.1. Introduction. 3.2. Concepts of positive dependence. 3.3. Negative dependence for more than two variables. 3.4. Setwise dependence. 3.5. Other approaches. 3.6. Positive dependence orderings. 3.7. Bayesian approach to stochastic dependence -- ch. 4. Copulas. 4.1. Introduction. 4.2. Definition and some properties. 4.3. The Fréchet bounds. 4.4. Examples. 4.5. Construction of a copula. 4.6. Archimedean copulas. 4.7. Archimax copulas. 4.8. Copulas with discontinuity constraints. 4.9. Copulas with more than two variables. 4.10. Simulation procedures -- ch. 5. Farlie-Gumbel-Morgenstern models of dependence. 5.1. Introduction. 5.2. Initial definition. 5.3. Regression and correlation. 5.4. Iterations. 5.5. Dependence properties. 5.6. A class of [symbol]-variate FGM distributions. 5.7. Further extensions. 5.8. FGM sequences -- ch. 6. Global versus local dependence between random variables. 6.1. Introduction. 6.2. Global measures of dependence. 6.3. Local indices of dependence. 6.4. Non-parametric estimation of local indices. 6.5. A search for the localisation of the maximal association. Correlation (Statistics) http://id.loc.gov/authorities/subjects/sh85033032 Dependence (Statistics) http://id.loc.gov/authorities/subjects/sh2001002906 Corrélation (Statistique) Dépendance (Statistique) correlation. aat MATHEMATICS Probability & Statistics General. bisacsh Correlation (Statistics) fast Dependence (Statistics) fast Correlatieanalyse. gtt Inferência estatística. larpcal |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85033032 http://id.loc.gov/authorities/subjects/sh2001002906 |
| title | Correlation and dependence / |
| title_auth | Correlation and dependence / |
| title_exact_search | Correlation and dependence / |
| title_full | Correlation and dependence / Dominique Drouet Mari, Samuel Kotz. |
| title_fullStr | Correlation and dependence / Dominique Drouet Mari, Samuel Kotz. |
| title_full_unstemmed | Correlation and dependence / Dominique Drouet Mari, Samuel Kotz. |
| title_short | Correlation and dependence / |
| title_sort | correlation and dependence |
| topic | Correlation (Statistics) http://id.loc.gov/authorities/subjects/sh85033032 Dependence (Statistics) http://id.loc.gov/authorities/subjects/sh2001002906 Corrélation (Statistique) Dépendance (Statistique) correlation. aat MATHEMATICS Probability & Statistics General. bisacsh Correlation (Statistics) fast Dependence (Statistics) fast Correlatieanalyse. gtt Inferência estatística. larpcal |
| topic_facet | Correlation (Statistics) Dependence (Statistics) Corrélation (Statistique) Dépendance (Statistique) correlation. MATHEMATICS Probability & Statistics General. Correlatieanalyse. Inferência estatística. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=235540 |
| work_keys_str_mv | AT maridominiquedrouet correlationanddependence AT kotzsamuel correlationanddependence |