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
6 - Stoppa 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
Employing the elasticity of the cumulative distribution function (CDF) F(x), Stoppa (1993) proposed a differential equation which can be used to derive a set of distributions which constitute the Stoppa system or family. Some of these distributions are quite general. This chapter revisits this system and derives its individual frequency distributions.
- Type
- Chapter
- Information
- Publisher: Cambridge University PressPrint publication year: 2020
References
Kleiber, C., and Kotz, S. (2003). Statistical Size Distributions in Economics and Actuarial Sciences. Hoboken, NJ: Wiley.Google Scholar
Stoppa, G. (1990). A new generating system of income distribution models. Quarderni di Statistica e Mathematica Applicata alle Science Economico-Sociali 12, pp. 47‒55.Google Scholar
Stoppa, G. Una tavola per modeli di probabilita. Metron 51, pp. 99‒117.Google Scholar