Book contents
- Generalized Frequency Distributions for Environmental and Water Engineering
- Generalized Frequency Distributions for Environmental and Water Engineering
- Copyright page
- Dedication
- Contents
- Preface
- Acknowledgments
- 1 Introduction
- 2 Burr–Singh–Maddala Distribution
- 3 Halphen Type A Distribution
- 4 Halphen Type B Distribution
- 5 Halphen Inverse B Distribution
- 6 Three-Parameter Generalized Gamma Distribution
- 7 Generalized Beta Lomax Distribution
- 8 Feller–Pareto Distribution
- 9 Kappa Distribution
- 10 Four-Parameter Exponential Gamma Distribution
- 11 Summary
- Appendix General Procedure for Goodness-of-Fit Study, Construction of Confidence Interval, and 95% Confidence Bound with Parametric Bootstrap Method
- Index
- References
3 - Halphen Type A Distribution
Published online by Cambridge University Press: 13 April 2022
- Generalized Frequency Distributions for Environmental and Water Engineering
- Generalized Frequency Distributions for Environmental and Water Engineering
- Copyright page
- Dedication
- Contents
- Preface
- Acknowledgments
- 1 Introduction
- 2 Burr–Singh–Maddala Distribution
- 3 Halphen Type A Distribution
- 4 Halphen Type B Distribution
- 5 Halphen Inverse B Distribution
- 6 Three-Parameter Generalized Gamma Distribution
- 7 Generalized Beta Lomax Distribution
- 8 Feller–Pareto Distribution
- 9 Kappa Distribution
- 10 Four-Parameter Exponential Gamma Distribution
- 11 Summary
- Appendix General Procedure for Goodness-of-Fit Study, Construction of Confidence Interval, and 95% Confidence Bound with Parametric Bootstrap Method
- Index
- References
Summary
The Halphen type A (Hal-A) frequency distribution has been employed for frequency analyses of hydrometeorological and hydrological extremes. This chapter derives this distribution using entropy theory and discusses the estimation of its parameters using the methods of entropy, moments, probability moments, L-moments, cumulative moments, and maximum likelihood estimation.
- Type
- Chapter
- Information
- Publisher: Cambridge University PressPrint publication year: 2022