Copulas and their applications in water resources engineering /:
Illustration of copula theory with detailed real-world case study examples in the fields of hydrology and water resources engineering.
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge ; New York, NY :
Cambridge University Press,
2019.
|
| Schlagworte: | |
| Online-Zugang: | DE-862 DE-863 |
| Zusammenfassung: | Illustration of copula theory with detailed real-world case study examples in the fields of hydrology and water resources engineering. |
| Beschreibung: | 1 online resource |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9781108651776 1108651771 9781108565103 1108565107 |
Internformat
MARC
| LEADER | 00000cam a2200000 i 4500 | ||
|---|---|---|---|
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| 100 | 1 | |a Zhang, Lan, |d 1972- |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjHcxH8VcpHWqMjrFfgbBd |0 http://id.loc.gov/authorities/names/n2018061460 | |
| 245 | 1 | 0 | |a Copulas and their applications in water resources engineering / |c Lan Zhang, Vijay P. Singh. |
| 264 | 1 | |a Cambridge ; |a New York, NY : |b Cambridge University Press, |c 2019. | |
| 264 | 4 | |c ©2019 | |
| 300 | |a 1 online resource | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |a Cover; Half-title; Title page; Copyright information; Dedication; Contents; Preface; Acknowledgments; Part One Theory; 1 Introduction; 1.1 Need for Copulas; 1.2 Introduction of Copulas and Their Application; 1.2.1 Development and Applications of Copulas in Statistics and Finance; 1.2.2 Construction and Parameter Estimation of Copulas; 1.2.3 Application of Copulas in Water Resources Engineering; Copula Applications in Flood Frequency Analysis; Copula Application to Precipitation and Storm Characteristics Analysis; Copula Application to Drought Characteristics Analysis | |
| 505 | 8 | |a Copula Application in Other Fields Related to Water Resources Engineering1.3 Theme of the Book; References; Additional Reading; 2 Preliminaries; 2.1 Univariate Probability Distributions; 2.1.1 Normal Distribution; 2.1.2 Log-Normal Distribution; 2.1.3 Student t Distribution; 2.1.4 Exponential and Gamma Distributions; 2.1.5 Generalized Extreme Value (GEV) and Extreme Value (EV) Distributions; EV I Distribution (b = 0); EV II Distribution (b 0); 2.1.6 Weibull Distribution; Pearson and Log-Pearson Type III Distributions; Pearson Type III Distribution | |
| 505 | 8 | |a Log-Pearson Type III Distribution2.1.7 Burr XII Distribution; 2.1.8 Log-Logistic Distribution; 2.1.9 Pareto Distribution; 2.2 Bivariate Distributions; 2.2.1 Bivariate Gamma Distribution; Izawa Bigamma Model; Moran Model; Smith-Adelfang-Tubbs (SAT) Model; Farlie-Gumbel-Morgenstern (FGM) Model; Gumbel Mixed (GM) Model; Gumbel Logistic (GL) Model; Bivariate Exponential Model; Nagao-Kadoya Bivariate Exponential (BVE) Model; 2.2.2 Bivariate Normal Distribution; 2.2.3 Bivariate Log-Normal Distribution; 2.3 Estimation of Parameters of Probability Distributions; 2.3.1 Method of Moments | |
| 505 | 8 | |a 2.3.2 Method of Maximum Likelihood Estimation2.3.3 Probability Weighted Moments Method; 2.3.4 Method of L-Moments; 2.4 Goodness-of-Fit Measures for Probability Distributions; 2.4.1 Goodness-of-Fit Measures for Univariate Probability Distributions; Kolmogorov-Smirnov (KS) Statistic DN; Cramér-von Mises (CM) Statistic W2N; Anderson-Darling (AD) Statistic A2N; Modified Weighted Watson Statistic U2N; Liao and Shimokawa Statistic LN; 2.4.2 Goodness-of-Fit Measures for Bivariate Probability Distributions; Chi-Square Goodness-of-Fit Test; Bivariate (Multivariate) KS Goodness-of-Fit Test | |
| 505 | 8 | |a Chi-Square TestBivariate KS goodness-of-fit test; 2.5 Quantile Estimation; 2.6 Confidence Intervals; 2.7 Bias and Root Mean Square Error (RMSE) of Parameter Estimates; 2.8 Risk Analysis; 2.8.1 Univariate Risk Analysis through Return Period; 2.8.2 Bivariate (Multivariate) Risk Analysis through Return Period; ''OR'' Case (X ≥ x ⋃ Y ≥ y); ''AND'' Case: (X ≥ x ⋂ Y ≥ y); ''CONDITIONAL'' Case; References; 3 Copulas and Their Properties; 3.1 Definition of Copulas; 3.1.1 Bivariate Copula; 3.1.2 Trivariate Copula; 3.2 Construction of Copulas; 3.2.1 Inversion Method; 3.2.2 Geometric Method | |
| 520 | |a Illustration of copula theory with detailed real-world case study examples in the fields of hydrology and water resources engineering. | ||
| 588 | 0 | |a Online resource; title from digital title page (viewed on March 01, 2019). | |
| 650 | 0 | |a Copulas (Mathematical statistics) |0 http://id.loc.gov/authorities/subjects/sh98005244 | |
| 650 | 0 | |a Hydrology |x Mathematics. | |
| 650 | 0 | |a Water-supply engineering |x Mathematical models. | |
| 650 | 0 | |a Water resources development |x Mathematical models. | |
| 650 | 6 | |a Copules (Statistique mathématique) | |
| 650 | 6 | |a Hydrologie |x Mathématiques. | |
| 650 | 6 | |a Eau |x Approvisionnement |x Technique |x Modèles mathématiques. | |
| 650 | 6 | |a Ressources en eau |x Exploitation |x Modèles mathématiques. | |
| 650 | 7 | |a MATHEMATICS |x Applied. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Probability & Statistics |x General. |2 bisacsh | |
| 650 | 7 | |a Copulas (Mathematical statistics) |2 fast | |
| 650 | 7 | |a Hydrology |x Mathematics |2 fast | |
| 650 | 7 | |a Water resources development |x Mathematical models |2 fast | |
| 650 | 7 | |a Water-supply engineering |x Mathematical models |2 fast | |
| 700 | 1 | |a Singh, V. P. |q (Vijay P.), |e author. |1 https://id.oclc.org/worldcat/entity/E39PBJrrrTww9YRv898QkFB9Dq |0 http://id.loc.gov/authorities/names/n82150093 | |
| 776 | 0 | 8 | |i Print version: |z 9781108474252 |
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| 938 | |a Askews and Holts Library Services |b ASKH |n AH35826447 | ||
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Datensatz im Suchindex
| DE-BY-FWS_katkey | ZDB-4-EBA-on1083671473 |
|---|---|
| _version_ | 1829095294522884096 |
| adam_text | |
| any_adam_object | |
| author | Zhang, Lan, 1972- Singh, V. P. (Vijay P.) |
| author_GND | http://id.loc.gov/authorities/names/n2018061460 http://id.loc.gov/authorities/names/n82150093 |
| author_facet | Zhang, Lan, 1972- Singh, V. P. (Vijay P.) |
| author_role | aut aut |
| author_sort | Zhang, Lan, 1972- |
| author_variant | l z lz v p s vp vps |
| building | Verbundindex |
| bvnumber | localFWS |
| callnumber-first | Q - Science |
| callnumber-label | QA273 |
| callnumber-raw | QA273.6 .Z53 2019 |
| callnumber-search | QA273.6 .Z53 2019 |
| callnumber-sort | QA 3273.6 Z53 42019 |
| callnumber-subject | QA - Mathematics |
| collection | ZDB-4-EBA |
| contents | Cover; Half-title; Title page; Copyright information; Dedication; Contents; Preface; Acknowledgments; Part One Theory; 1 Introduction; 1.1 Need for Copulas; 1.2 Introduction of Copulas and Their Application; 1.2.1 Development and Applications of Copulas in Statistics and Finance; 1.2.2 Construction and Parameter Estimation of Copulas; 1.2.3 Application of Copulas in Water Resources Engineering; Copula Applications in Flood Frequency Analysis; Copula Application to Precipitation and Storm Characteristics Analysis; Copula Application to Drought Characteristics Analysis Copula Application in Other Fields Related to Water Resources Engineering1.3 Theme of the Book; References; Additional Reading; 2 Preliminaries; 2.1 Univariate Probability Distributions; 2.1.1 Normal Distribution; 2.1.2 Log-Normal Distribution; 2.1.3 Student t Distribution; 2.1.4 Exponential and Gamma Distributions; 2.1.5 Generalized Extreme Value (GEV) and Extreme Value (EV) Distributions; EV I Distribution (b = 0); EV II Distribution (b 0); 2.1.6 Weibull Distribution; Pearson and Log-Pearson Type III Distributions; Pearson Type III Distribution Log-Pearson Type III Distribution2.1.7 Burr XII Distribution; 2.1.8 Log-Logistic Distribution; 2.1.9 Pareto Distribution; 2.2 Bivariate Distributions; 2.2.1 Bivariate Gamma Distribution; Izawa Bigamma Model; Moran Model; Smith-Adelfang-Tubbs (SAT) Model; Farlie-Gumbel-Morgenstern (FGM) Model; Gumbel Mixed (GM) Model; Gumbel Logistic (GL) Model; Bivariate Exponential Model; Nagao-Kadoya Bivariate Exponential (BVE) Model; 2.2.2 Bivariate Normal Distribution; 2.2.3 Bivariate Log-Normal Distribution; 2.3 Estimation of Parameters of Probability Distributions; 2.3.1 Method of Moments 2.3.2 Method of Maximum Likelihood Estimation2.3.3 Probability Weighted Moments Method; 2.3.4 Method of L-Moments; 2.4 Goodness-of-Fit Measures for Probability Distributions; 2.4.1 Goodness-of-Fit Measures for Univariate Probability Distributions; Kolmogorov-Smirnov (KS) Statistic DN; Cramér-von Mises (CM) Statistic W2N; Anderson-Darling (AD) Statistic A2N; Modified Weighted Watson Statistic U2N; Liao and Shimokawa Statistic LN; 2.4.2 Goodness-of-Fit Measures for Bivariate Probability Distributions; Chi-Square Goodness-of-Fit Test; Bivariate (Multivariate) KS Goodness-of-Fit Test Chi-Square TestBivariate KS goodness-of-fit test; 2.5 Quantile Estimation; 2.6 Confidence Intervals; 2.7 Bias and Root Mean Square Error (RMSE) of Parameter Estimates; 2.8 Risk Analysis; 2.8.1 Univariate Risk Analysis through Return Period; 2.8.2 Bivariate (Multivariate) Risk Analysis through Return Period; ''OR'' Case (X ≥ x ⋃ Y ≥ y); ''AND'' Case: (X ≥ x ⋂ Y ≥ y); ''CONDITIONAL'' Case; References; 3 Copulas and Their Properties; 3.1 Definition of Copulas; 3.1.1 Bivariate Copula; 3.1.2 Trivariate Copula; 3.2 Construction of Copulas; 3.2.1 Inversion Method; 3.2.2 Geometric Method |
| ctrlnum | (OCoLC)1083671473 |
| dewey-full | 519.2/40155148 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.2/40155148 |
| dewey-search | 519.2/40155148 |
| dewey-sort | 3519.2 840155148 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | ZDB-4-EBA-on1083671473 |
| illustrated | Not Illustrated |
| indexdate | 2025-04-11T08:46:44Z |
| institution | BVB |
| isbn | 9781108651776 1108651771 9781108565103 1108565107 |
| language | English |
| oclc_num | 1083671473 |
| open_access_boolean | |
| owner | MAIN DE-862 DE-BY-FWS DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-862 DE-BY-FWS DE-863 DE-BY-FWS |
| physical | 1 online resource |
| psigel | ZDB-4-EBA FWS_PDA_EBA ZDB-4-EBA |
| publishDate | 2019 |
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| publisher | Cambridge University Press, |
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| spelling | Zhang, Lan, 1972- author. https://id.oclc.org/worldcat/entity/E39PCjHcxH8VcpHWqMjrFfgbBd http://id.loc.gov/authorities/names/n2018061460 Copulas and their applications in water resources engineering / Lan Zhang, Vijay P. Singh. Cambridge ; New York, NY : Cambridge University Press, 2019. ©2019 1 online resource text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references and index. Cover; Half-title; Title page; Copyright information; Dedication; Contents; Preface; Acknowledgments; Part One Theory; 1 Introduction; 1.1 Need for Copulas; 1.2 Introduction of Copulas and Their Application; 1.2.1 Development and Applications of Copulas in Statistics and Finance; 1.2.2 Construction and Parameter Estimation of Copulas; 1.2.3 Application of Copulas in Water Resources Engineering; Copula Applications in Flood Frequency Analysis; Copula Application to Precipitation and Storm Characteristics Analysis; Copula Application to Drought Characteristics Analysis Copula Application in Other Fields Related to Water Resources Engineering1.3 Theme of the Book; References; Additional Reading; 2 Preliminaries; 2.1 Univariate Probability Distributions; 2.1.1 Normal Distribution; 2.1.2 Log-Normal Distribution; 2.1.3 Student t Distribution; 2.1.4 Exponential and Gamma Distributions; 2.1.5 Generalized Extreme Value (GEV) and Extreme Value (EV) Distributions; EV I Distribution (b = 0); EV II Distribution (b 0); 2.1.6 Weibull Distribution; Pearson and Log-Pearson Type III Distributions; Pearson Type III Distribution Log-Pearson Type III Distribution2.1.7 Burr XII Distribution; 2.1.8 Log-Logistic Distribution; 2.1.9 Pareto Distribution; 2.2 Bivariate Distributions; 2.2.1 Bivariate Gamma Distribution; Izawa Bigamma Model; Moran Model; Smith-Adelfang-Tubbs (SAT) Model; Farlie-Gumbel-Morgenstern (FGM) Model; Gumbel Mixed (GM) Model; Gumbel Logistic (GL) Model; Bivariate Exponential Model; Nagao-Kadoya Bivariate Exponential (BVE) Model; 2.2.2 Bivariate Normal Distribution; 2.2.3 Bivariate Log-Normal Distribution; 2.3 Estimation of Parameters of Probability Distributions; 2.3.1 Method of Moments 2.3.2 Method of Maximum Likelihood Estimation2.3.3 Probability Weighted Moments Method; 2.3.4 Method of L-Moments; 2.4 Goodness-of-Fit Measures for Probability Distributions; 2.4.1 Goodness-of-Fit Measures for Univariate Probability Distributions; Kolmogorov-Smirnov (KS) Statistic DN; Cramér-von Mises (CM) Statistic W2N; Anderson-Darling (AD) Statistic A2N; Modified Weighted Watson Statistic U2N; Liao and Shimokawa Statistic LN; 2.4.2 Goodness-of-Fit Measures for Bivariate Probability Distributions; Chi-Square Goodness-of-Fit Test; Bivariate (Multivariate) KS Goodness-of-Fit Test Chi-Square TestBivariate KS goodness-of-fit test; 2.5 Quantile Estimation; 2.6 Confidence Intervals; 2.7 Bias and Root Mean Square Error (RMSE) of Parameter Estimates; 2.8 Risk Analysis; 2.8.1 Univariate Risk Analysis through Return Period; 2.8.2 Bivariate (Multivariate) Risk Analysis through Return Period; ''OR'' Case (X ≥ x ⋃ Y ≥ y); ''AND'' Case: (X ≥ x ⋂ Y ≥ y); ''CONDITIONAL'' Case; References; 3 Copulas and Their Properties; 3.1 Definition of Copulas; 3.1.1 Bivariate Copula; 3.1.2 Trivariate Copula; 3.2 Construction of Copulas; 3.2.1 Inversion Method; 3.2.2 Geometric Method Illustration of copula theory with detailed real-world case study examples in the fields of hydrology and water resources engineering. Online resource; title from digital title page (viewed on March 01, 2019). Copulas (Mathematical statistics) http://id.loc.gov/authorities/subjects/sh98005244 Hydrology Mathematics. Water-supply engineering Mathematical models. Water resources development Mathematical models. Copules (Statistique mathématique) Hydrologie Mathématiques. Eau Approvisionnement Technique Modèles mathématiques. Ressources en eau Exploitation Modèles mathématiques. MATHEMATICS Applied. bisacsh MATHEMATICS Probability & Statistics General. bisacsh Copulas (Mathematical statistics) fast Hydrology Mathematics fast Water resources development Mathematical models fast Water-supply engineering Mathematical models fast Singh, V. P. (Vijay P.), author. https://id.oclc.org/worldcat/entity/E39PBJrrrTww9YRv898QkFB9Dq http://id.loc.gov/authorities/names/n82150093 Print version: 9781108474252 |
| spellingShingle | Zhang, Lan, 1972- Singh, V. P. (Vijay P.) Copulas and their applications in water resources engineering / Cover; Half-title; Title page; Copyright information; Dedication; Contents; Preface; Acknowledgments; Part One Theory; 1 Introduction; 1.1 Need for Copulas; 1.2 Introduction of Copulas and Their Application; 1.2.1 Development and Applications of Copulas in Statistics and Finance; 1.2.2 Construction and Parameter Estimation of Copulas; 1.2.3 Application of Copulas in Water Resources Engineering; Copula Applications in Flood Frequency Analysis; Copula Application to Precipitation and Storm Characteristics Analysis; Copula Application to Drought Characteristics Analysis Copula Application in Other Fields Related to Water Resources Engineering1.3 Theme of the Book; References; Additional Reading; 2 Preliminaries; 2.1 Univariate Probability Distributions; 2.1.1 Normal Distribution; 2.1.2 Log-Normal Distribution; 2.1.3 Student t Distribution; 2.1.4 Exponential and Gamma Distributions; 2.1.5 Generalized Extreme Value (GEV) and Extreme Value (EV) Distributions; EV I Distribution (b = 0); EV II Distribution (b 0); 2.1.6 Weibull Distribution; Pearson and Log-Pearson Type III Distributions; Pearson Type III Distribution Log-Pearson Type III Distribution2.1.7 Burr XII Distribution; 2.1.8 Log-Logistic Distribution; 2.1.9 Pareto Distribution; 2.2 Bivariate Distributions; 2.2.1 Bivariate Gamma Distribution; Izawa Bigamma Model; Moran Model; Smith-Adelfang-Tubbs (SAT) Model; Farlie-Gumbel-Morgenstern (FGM) Model; Gumbel Mixed (GM) Model; Gumbel Logistic (GL) Model; Bivariate Exponential Model; Nagao-Kadoya Bivariate Exponential (BVE) Model; 2.2.2 Bivariate Normal Distribution; 2.2.3 Bivariate Log-Normal Distribution; 2.3 Estimation of Parameters of Probability Distributions; 2.3.1 Method of Moments 2.3.2 Method of Maximum Likelihood Estimation2.3.3 Probability Weighted Moments Method; 2.3.4 Method of L-Moments; 2.4 Goodness-of-Fit Measures for Probability Distributions; 2.4.1 Goodness-of-Fit Measures for Univariate Probability Distributions; Kolmogorov-Smirnov (KS) Statistic DN; Cramér-von Mises (CM) Statistic W2N; Anderson-Darling (AD) Statistic A2N; Modified Weighted Watson Statistic U2N; Liao and Shimokawa Statistic LN; 2.4.2 Goodness-of-Fit Measures for Bivariate Probability Distributions; Chi-Square Goodness-of-Fit Test; Bivariate (Multivariate) KS Goodness-of-Fit Test Chi-Square TestBivariate KS goodness-of-fit test; 2.5 Quantile Estimation; 2.6 Confidence Intervals; 2.7 Bias and Root Mean Square Error (RMSE) of Parameter Estimates; 2.8 Risk Analysis; 2.8.1 Univariate Risk Analysis through Return Period; 2.8.2 Bivariate (Multivariate) Risk Analysis through Return Period; ''OR'' Case (X ≥ x ⋃ Y ≥ y); ''AND'' Case: (X ≥ x ⋂ Y ≥ y); ''CONDITIONAL'' Case; References; 3 Copulas and Their Properties; 3.1 Definition of Copulas; 3.1.1 Bivariate Copula; 3.1.2 Trivariate Copula; 3.2 Construction of Copulas; 3.2.1 Inversion Method; 3.2.2 Geometric Method Copulas (Mathematical statistics) http://id.loc.gov/authorities/subjects/sh98005244 Hydrology Mathematics. Water-supply engineering Mathematical models. Water resources development Mathematical models. Copules (Statistique mathématique) Hydrologie Mathématiques. Eau Approvisionnement Technique Modèles mathématiques. Ressources en eau Exploitation Modèles mathématiques. MATHEMATICS Applied. bisacsh MATHEMATICS Probability & Statistics General. bisacsh Copulas (Mathematical statistics) fast Hydrology Mathematics fast Water resources development Mathematical models fast Water-supply engineering Mathematical models fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh98005244 |
| title | Copulas and their applications in water resources engineering / |
| title_auth | Copulas and their applications in water resources engineering / |
| title_exact_search | Copulas and their applications in water resources engineering / |
| title_full | Copulas and their applications in water resources engineering / Lan Zhang, Vijay P. Singh. |
| title_fullStr | Copulas and their applications in water resources engineering / Lan Zhang, Vijay P. Singh. |
| title_full_unstemmed | Copulas and their applications in water resources engineering / Lan Zhang, Vijay P. Singh. |
| title_short | Copulas and their applications in water resources engineering / |
| title_sort | copulas and their applications in water resources engineering |
| topic | Copulas (Mathematical statistics) http://id.loc.gov/authorities/subjects/sh98005244 Hydrology Mathematics. Water-supply engineering Mathematical models. Water resources development Mathematical models. Copules (Statistique mathématique) Hydrologie Mathématiques. Eau Approvisionnement Technique Modèles mathématiques. Ressources en eau Exploitation Modèles mathématiques. MATHEMATICS Applied. bisacsh MATHEMATICS Probability & Statistics General. bisacsh Copulas (Mathematical statistics) fast Hydrology Mathematics fast Water resources development Mathematical models fast Water-supply engineering Mathematical models fast |
| topic_facet | Copulas (Mathematical statistics) Hydrology Mathematics. Water-supply engineering Mathematical models. Water resources development Mathematical models. Copules (Statistique mathématique) Hydrologie Mathématiques. Eau Approvisionnement Technique Modèles mathématiques. Ressources en eau Exploitation Modèles mathématiques. MATHEMATICS Applied. MATHEMATICS Probability & Statistics General. Hydrology Mathematics Water resources development Mathematical models Water-supply engineering Mathematical models |
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