Generic probability distribution of rainfall in space: The bivariate model

Journal of Hydrology

Volumn 306, Issue 1-4, 2005, Pages 234-263

  Herr, Henry D ^a   Krzysztofowicz, Roman ^b  

^a NOAA EARTH SYSTEM RESEARCH LABORATORY   (United States)

^b University of Virginia   (United States)

Author keywords

Distribution; Multivariate analysis; Precipitation; Probability; Rainfall; Statistical analysis

Indexed keywords

APPROXIMATION THEORY; PRECIPITATION (METEOROLOGY); PROBABILITY DISTRIBUTIONS; STATISTICAL METHODS; WEATHER FORECASTING;

CLIMATIC PARAMETERS; META-GAUSSIAN MODEL; REAL-TIME FORECASTING;

RAIN;

MULTIVARIATE ANALYSIS; PRECIPITATION (CLIMATOLOGY); RAINFALL; STATISTICAL ANALYSIS;

EID: 18844402133     PISSN: 00221694     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jhydrol.2004.09.011     Document Type: Article

References (18)

1. M. Abramowitz I.A. Stegun Handbook of Mathematical Functions 1972 Dover Mineola, NY
2. M.S. Antolik An overview of the National Weather Service's centralized statistical quantitative precipitation forecasts Journal of Hydrology 239 1-4 2000 306 337
3. G. Guillot Approximation of Sahelian rainfall fields with meta-Gaussian random functions. Part 1: model definition and methodology Stochastic Environmental Research and Risk Assessment 13 1999 100 112
4. G. Guillot, and T. Lebel Approximation of Sahelian rainfall fields with meta-Gaussian random functions. Part 2: parameter estimation and comparison to data Stochastic Environmental Research and Risk Assessment 13 1999 113 130
5. Herr, H.D., 1999. A bivariate precipitation uncertainty processor for probabilistic river forecasting. Master of Science thesis, School of Engineering and Applied Science, University of Virginia, Charlottesville, p. 118.
6. Herr, H.D., Welles, E., Mullusky, M.G., Wu, L., Schaake, J., 2002. Simplified short-term precipitation ensemble forecasts: theory. Preprints of the symposium on observations, data assimilation, and probabilistic prediction, J1.17, 82nd Annual Meeting of the American Meteorological Society, Orlando, Florida, January.
7. K.S. Kelly, and R. Krzysztofowicz A bivariate meta-Gaussian density for use in hydrology Stochastic Hydrology and Hydraulics 11 1997 17 31
8. K.S. Kelly, and R. Krzysztofowicz Precipitation uncertainty processor for probabilistic river stage forecasting Water Resources Research 36 9 2000 2643 2653
9. R. Krzysztofowicz Probabilities for a period and its subperiods: theoretical relations for forecasting Monthly Weather Review 127 2 1999 228 235
10. R. Krzysztofowicz Point-to-area rescaling of probabilistic quantitative precipitation forecast Journal of Applied Meteorology 38 6 1999 786 796
11. R. Krzysztofowicz Bayesian system for probabilistic river stage forecasting Journal of Hydrology 268 1-4 2002 16 40
12. R. Krzysztofowicz, and T.A. Pomroy Disaggregative invariance of daily precipitation Journal of Applied Meteorology 36 6 1997 721 734
13. R. Krzysztofowicz, W.J. Drzal, T.R. Drake, J.C. Weyman, and L.A. Giordano Probabilistic quantitative precipitation forecasts for river basins Weather and Forecasting 8 4 1993 424 439
14. B.W. Lindgren Statistical Theory fourth ed 1993 Chapman and Hall New York
15. Mills, H.W., II, Krzysztofowicz, R., 1998. Interactive software for probabilistic quantitative precipitation forecasting. Preprint Volume, 14th International Conference on Interactive Information and Processing Systems (IIPS) for Meteorology, Oceanography, and Hydrology, pp. J12-J16, American Meteorological Society, Boston, MA, January.
16. D.B. Owen Tables for computing bivariate normal probabilities Annals of Mathematical Statistics 27 1956 1075 1090
17. D.-J. Seo, S. Perica, E. Welles, and J.C. Schaake Simulation of precipitation fields from probabilistic quantitative precipitation forecast Journal of Hydrology 239 1-4 2000 203 229
18. G.A. Whitmore M.C. Findlay Stochastic Dominance 1978 1978 DC Heath and Company Lexington, MA