Entropy-Based Parameter Estimation in Hydrology

About this book

This text covers entropy-based techniques for parameter estimation in hydrology. The techniques are presented for 20 distributions used in hydrology, including the distributions of the normal family, the extreme-value family, the Pareto family, and the logistic family. A comparative assessment of the entropy-based techniques is made with traditional methods of parameter estimation, such as the methods of moments, maximum likelihood estimation, probability-weighted moments, L-moments, and least squares, using field data as well as Monte Carlo simulation experiments.

Contents

1. Entropy and Principle of Maximum Entropy. 2. Methods of Parameter Estimation. 3. Uniform Distribution. 4. Exponential Distribution. 5. Normal Distribution. 6. Two-Parameter Lognormal Distribution. 7. Three-Parameter Lognormal Distribution. 8. Extreme Value Type I Distribution. 9. Log-Extreme Value Type I Distribution. 10. Extreme Value Type III Distribution. 11. Generalized Extreme Value Distribution. 12. Weibull Distribution. 13. Gamma Distribution. 14. Pearson Type III Distribution. 15. Log-Pearson Type III Distribution. 16. Beta Distribution. 17. Two-Parameter Log-Logistic Distribution. 18. Three-Parameter Log-Logistic Distribution. 19. Two-Parameter Pareto Distribution. 20. Two-Parameter Generalized Pareto Distribution. 21. Three-Parameter Generalized Pareto Distribution. 22. Two-Component Extreme Value Distribution.

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