Book contents
- Systems of Frequency Distributions for Water and Environmental Engineering
- Systems of Frequency Distributions for Water and Environmental Engineering
- Copyright page
- Dedication
- Contents
- Preface
- Acknowledgments
- 1 Introduction
- 2 Pearson System of Frequency Distributions
- 3 Burr System of Frequency Distributions
- 4 D’Addario System of Frequency Distributions
- 5 Dagum System of Frequency Distributions
- 6 Stoppa System of Frequency Distributions
- 7 Esteban System of Frequency Distributions
- 8 Singh System of Frequency Distributions
- 9 Systems of Frequency Distributions Using Bessel Functions and Cumulants
- 10 Frequency Distributions by Entropy Maximization
- 11 Transformations for Frequency Distributions
- 12 Genetic Theory of Frequency
- Appendix Datasets for Applications
- Index
- References
2 - Pearson System of Frequency Distributions
Published online by Cambridge University Press: 06 November 2020
Book contents
- Systems of Frequency Distributions for Water and Environmental Engineering
- Systems of Frequency Distributions for Water and Environmental Engineering
- Copyright page
- Dedication
- Contents
- Preface
- Acknowledgments
- 1 Introduction
- 2 Pearson System of Frequency Distributions
- 3 Burr System of Frequency Distributions
- 4 D’Addario System of Frequency Distributions
- 5 Dagum System of Frequency Distributions
- 6 Stoppa System of Frequency Distributions
- 7 Esteban System of Frequency Distributions
- 8 Singh System of Frequency Distributions
- 9 Systems of Frequency Distributions Using Bessel Functions and Cumulants
- 10 Frequency Distributions by Entropy Maximization
- 11 Transformations for Frequency Distributions
- 12 Genetic Theory of Frequency
- Appendix Datasets for Applications
- Index
- References
Summary
The Pearson system of frequency distributions is based on a differential equation which satisfies certain mathematical conditions but its physical basis remains obscure. This chapter discusses this system and the distributions that are derived therefrom. Some of these distributions, such as gamma, Pearson type III and its logarithmic version, exponential, and normal and its logarithmic version, are frequently used in water engineering. This chapter presents the Pearson system and its underlying hypothesis and derives different member distributions of this system.
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- Publisher: Cambridge University PressPrint publication year: 2020
References
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