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A Stochastic Description of Precipitation
Lucien Le Cam
- pp 165-186
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In the early part of the war years Pierre Masse organized a group for the purpose of studying optimal procedures of development and management of the French hydroelectric and steam power system.Abstract:
: During the early part of the war years Pierre Masse organized a group for the purpose of studying optimal procedures of development and management of the French hydroelectric and steam power system. The problems encountered by this group included the evaluation of probabilities of excessive discharges, the evaluation of probabilities of excessive droughts, as well as the development of optimal management procedures for the big and small hydroelectric reservoirs.read more
Citations
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A homogeneity test applied to precipitation data
TL;DR: In this paper, a simple homogeneity test was applied to a precipitation data set from southwestern Sweden and the significant breaks varied from 5 to 25 per cent for this data set and probably reflect a serious source of uncertainty in studies of climate trends and climatic change all over the world.
Journal ArticleDOI
Harmonic Analysis and the Theory of Probability. By S. Bochner pp. 176. 35s. 1955. (California University Press and Cambridge University Press)
Journal ArticleDOI
Multiscaling properties of spatial rainfall and river flow distributions
Vijay K. Gupta,Edward C. Waymire +1 more
TL;DR: In this paper, a general class of continuous multiplicative processes is constructed to provide a theoretical framework for these observations, namely, the log-log linearity of moments with spatial scale and the concavity of corresponding slopes.
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The mathematical structure of rainfall representations: 1. A review of the stochastic rainfall models
Edward C. Waymire,Vijay K. Gupta +1 more
TL;DR: The first part of a three-part series on the mathematical structure of rainfall models is presented in this article. But the mathematical structures that arise in the rainfall descriptions are not discussed.
Journal ArticleDOI
A space‐time stochastic model of rainfall for satellite remote‐sensing studies
TL;DR: In this article, a model of the spatial and temporal distribution of rainfall is described that produces random spatial rainfall patterns with these characteristics: (1) the model is defined on a grid with each grid point representing the average rain rate over the surrounding grid box, (2) rain occurs at any one grid point, on average, a specified percentage of the time and has a lognormal probability distribution, and (3) spatial correlation of the rainfall can be arbitrarily prescribed, and time stepping is carried out so that large scale features persist longer than small-scale features.
References
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Journal ArticleDOI
Harmonic Analysis and the Theory of Probability. By S. Bochner pp. 176. 35s. 1955. (California University Press and Cambridge University Press)
Journal ArticleDOI
A general theory of the unit hydrograph
TL;DR: By the single assumption that the reservoir action in a catchment can be separated from translation, the general equation of the unit hydrograph was shown to be==============================¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯﷿﷼﷽ﷷ﷾ﷀﷴﷄﷆﷳﷁ�
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