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
12 - Genetic Theory of Frequency
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
Previously we have revisited the different distribution systems. In this chapter, we will discuss one more system based on the genetic theory, i.e., Charlier type A and B curves, which are based on the fundamental hypothesis of elementary errors.
- Type
- Chapter
- Information
- Publisher: Cambridge University PressPrint publication year: 2020
References
Carver, H. C. (1921). The mathematical representation of frequency distributions. American Statistical Association 17, no. 134. pp. 720‒731.Google Scholar
Charlier, C. V. L. (1905). Über die Darstellung willkürlicher Funktionen. Arkiv För Matematik, Astronomi Och Fysik. Band 2, no. 20, pp. 23‒35.Google Scholar
Wicksell, S. D. (1917). On the genetic theory of frequency. Arkiv För Matematik, Astronomi Och Fysik. Band 12, no. 20, pp. 1‒56.Google Scholar