Generalized frequency distributions for environmental and water engineering /
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| Author / Creator: | Singh, V. P. (Vijay P.), author. |
|---|---|
| Imprint: | Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2022. ©2022 |
| Description: | 1 online resource ( xvi, 315 pages) : illustrations |
| Language: | English |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/13118565 |
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| 082 | 0 | 0 | |a 628.01/5195 |2 23 |
| 100 | 1 | |a Singh, V. P. |q (Vijay P.), |e author. | |
| 245 | 1 | 0 | |a Generalized frequency distributions for environmental and water engineering / |c Vijay P. Singh, Texas A&M University, Lan Zhang, Dewberry. |
| 264 | 1 | |a Cambridge, United Kingdom ; |a New York, NY : |b Cambridge University Press, |c 2022. | |
| 264 | 4 | |c ©2022 | |
| 300 | |a 1 online resource ( xvi, 315 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 | ||
| 588 | |a Description based on online resource; title from digital title page (viewed on April 27, 2022). | ||
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |a Cover -- Half-title page -- Title page -- Copyright information page -- Dedication -- Contents -- Preface -- Acknowledgments -- 1 Introduction -- 1.1 Introduction -- 1.2 Generalized Distributions -- 1.3 Distribution Characteristics -- 1.4 Characterization through Hazard Function -- 1.4.1 Gamma Distribution -- 1.4.2 Weibull Distribution -- 1.4.3 Modified Extreme Value Distribution -- 1.4.4 Pareto Distribution -- 1.4.5 Lognormal Distribution -- 1.4.6 Log-Logistic Distribution -- 1.5 Methods of Parameter Estimation -- 1.5.1 Regular Entropy Method -- 1.5.2 Parameter Space Expansion Method | |
| 505 | 8 | |a 1.5.3 MOM -- 1.5.4 Method of PWMs -- 1.5.5 Method of L-Moments -- 1.5.6 MLE Method -- 1.5.7 Method of Cumulative Moments -- 1.5.8 Least Squares Method -- 1.6 Selection of a Distribution -- 1.7 Goodness-of-Fit Measures -- References -- 2 Burr-Singh-Maddala Distribution -- 2.1 Introduction -- 2.2 Characteristics of BSM Distribution -- 2.3 Characterization through Hazard Function -- 2.4 Derivation of BSM Distribution -- 2.4.1 Singh-Maddala Method -- 2.4.2 Another Singh-Maddala Method -- 2.4.3 Differential Equation Method -- 2.4.4 Entropy Method -- 2.5 Parameter Estimation | |
| 505 | 8 | |a 2.5.1 Regular Entropy Method -- 2.5.2 Parameter Space Expansion Method -- 2.5.2.1 Derivation of Entropy Function -- 2.5.2.2 Relation between Parameters and Constraints -- 2.5.3 Method of Moments -- 2.5.4 Maximum Likelihood Estimation Method -- 2.5.5 Probability Weighted Moments Method -- 2.5.6 Method of L-Moments -- 2.5.7 Method of Cumulative Moments -- 2.6 Application -- 2.6.1 Synthetic Data -- 2.6.2 Peak Flow -- 2.6.3 Maximum Daily Precipitation -- 2.6.4 Drought (Total Flow Deficit) -- 2.7 Conclusion -- References -- 3 Halphen Type A Distribution -- 3.1 Introduction | |
| 505 | 8 | |a 3.2 Hal-A Distribution and Its Characteristics -- 3.3 Differential Equation for Derivation of Hal-A Distribution -- 3.4 Derivation of Hal-A Distribution by Entropy Theory -- 3.4.1 Specification of Constraints -- 3.4.2 Entropy Maximizing -- 3.4.3 Relation between Lagrange Multipliers and Distribution Parameters -- 3.5 Parameter Estimation -- 3.5.1 Regular Entropy Method -- 3.5.1.1 Relations between Lagrange Multipliers and Constraints -- 3.5.2 Parameter Space Expansion Method -- 3.5.3 MOM -- 3.5.4 MLE Method -- 3.6 Application | |
| 505 | 8 | |a 3.6.1 Simulating Hal-A Distributed Random Variable with Fixed Parameters -- 3.6.2 Parameter Estimation Using Simulated Random Variables -- 3.6.3 Peak Flow -- 3.6.4 Total Flow Deficit -- 3.6.5 Maximum Daily Precipitation -- 3.7 Conclusion -- References -- 4 Halphen Type B Distribution -- 4.1 Introduction -- 4.2 Hal-B Distribution and Its Characteristics -- 4.3 Differential Equation for Hal-B Distribution and Distribution Characteristics -- 4.4 Derivation of Hal-B Distribution by Entropy Theory -- 4.4.1 Specification of Constraints -- 4.4.2 Entropy Maximizing | |
| 650 | 0 | |a Hydrology |x Statistical methods. | |
| 650 | 0 | |a Environmental engineering |x Statistical methods. | |
| 650 | 0 | |a Distribution (Probability theory) | |
| 650 | 6 | |a Hydrologie |x Méthodes statistiques. | |
| 650 | 6 | |a Technique de l'environnement |x Méthodes statistiques. | |
| 650 | 6 | |a Distribution (Théorie des probabilités) | |
| 650 | 7 | |a distribution (statistics-related concept) |2 aat | |
| 650 | 7 | |a Distribution (Probability theory) |2 fast |0 (OCoLC)fst00895600 | |
| 650 | 7 | |a Environmental engineering |x Statistical methods. |2 fast |0 (OCoLC)fst00912967 | |
| 650 | 7 | |a Hydrology |x Statistical methods. |2 fast |0 (OCoLC)fst00965181 | |
| 700 | 1 | |a Zhang, Lan, |d 1973- |e author. | |
| 776 | 0 | 8 | |i Print version: |a Singh, V. P. |t Generalized frequency distributions for environmental and water engineering |d Cambridge, United Kingdom ; New York, NY : Cambridge University Press, [2022] |z 9781316516843 |w (DLC) 2021037802 |
| 856 | 4 | 0 | |u https://doi.org/10.1017/9781009025317 |y Cambridge Core |x 999 |
| 901 | |a YBPebook | ||
| 929 | |a eresource | ||
| 999 | f | f | |s 1d9e9123-ebd4-4d2f-a326-bee09001f609 |i 2de815cd-1f84-4777-84b4-f5e5c71cb820 |
| 928 | |t Library of Congress classification |a GB656.2.S7S56 2022 |l Online |c UC-FullText |u https://doi.org/10.1017/9781009025317 |z Cambridge Core |g ebooks |e ALUM |i 13258098 | ||
