Asymptotic bias of estimation methods caused by the assumption of false probability distribution

Journal of Hydrology

Volumn 258, Issue 1-4, 2002, Pages 122-148

  Strupczewski, Witold G ^a   Singh, Vijay P ^b   Weglarczyk, Stanislaw ^c  

^a INSTITUTE OF GEOPHYSICS   (Poland)

^b LOUISIANA STATE UNIVERSITY   (United States)

^c CRACOW UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

Asymptotical bias; Flood frequency; Maximum likelihood; Method of moments; Moment estimation; Quantile estimation

Indexed keywords

ESTIMATION; LEAST SQUARES APPROXIMATIONS; MAXIMUM LIKELIHOOD ESTIMATION; METHOD OF MOMENTS; PROBABILITY DISTRIBUTIONS;

ASYMPTOTIC BIAS;

HYDROLOGY;

ESTIMATION METHOD; FLOOD FREQUENCY; PROBABILITY DENSITY FUNCTION;

EID: 0037186379     PISSN: 00221694     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-1694(01)00563-7     Document Type: Article

References (45)

1. Sample error of T-year events computed by fitting a Pearson type 3 distribution
2. Estimation of flood frequency: A comparison of physically-based procedures
3. Bias and variance of quantile estimates from a partial duration series
4. Flood frequency analysis for small watersheds in southern Illinois
5. The log-Pearson type 3 distribution: The T-year event and its asymptotic standard error by maximum likelihood theory
6. Flood samples from a three-parameter population with historic information: The asymptotic standard error of estimate of the T-year flood
7. Factors affecting choice of distribution for flood studies
8. The use of likelihood functions to fit conceptual models with more than one dependent variable
9. Probability weighted moments: Definition and relation to parameters of several distributions expressible in inverse form
10. Flood frequency analysis: A review of 1979-1982
11. Selection of frequency distribution models
12. Sampling properties of parameter estimates for the log-Pearson type 3 distribution, using moments in real space
13. L-moments: Analysis and estimation of distributions using linear combinations of order statistics
14. Tall tales about tails of hydrological distributions: I
15. Tall tales about tails of hydrological distributions: II
16. On the relationship between the reliability of parameter estimates and hydrologic time series data used in calibration
17. Probability-weighted moments compared with some traditional techniques in estimating Gumbel parameters and quantiles
18. Quantile estimation with more or less floodlike distribution
19. Detecting change points by Fourier analysis
20. Nonparametric tests against trend
21. Can series of maximal annual flow discharges be treated as realizations of stationary process?
22. Selecting a flood frequency method
23. The use of the Akaike information criterion in the identification of an optimum flood frequency model
24. Systematic determination of unit hydrograph parameters
25. A nonparametric approach to the change-point problem
26. Variance of the T-year event in the log-Pearson type 3 distribution
27. Asymptotic variance of flood quantile in log-Pearson type III distribution with historical information
28. A new method of parameter estimation from hydrologic frequency analysis
29. Fitting of distribution functions by nonlinear least squares
30. Theoretical frequency distributions for the analysis of plains streamflow
31. Regional hydrologic analysis: 1. Ordinary, weighted, and generalized least squares compared
32. Uncertainty of extreme flood estimates incorporating historical flood data
33. A farewell to the ML method in flood frequency analysis
34. Impulse response of linear diffusion analogy model as a flood frequency probability density function
35. The choice of extremal models by Akaike's information criterion
36. Sampling variance of a T-year flood estimated by curve fitting
37. Analyzing long time series of hydrological data with respect to climate variability