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Limit theorems (Probability theory).

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This book simplifies atmospheric predictions to enable laypeople to make their own derivative forecasts. Scientists and engineers can learn to predict weather-dependent phenomena to assess the risks associated with decisions in the construction and operation phases of water resources planning. This self-educating method simultaneously uses probabilistic meteorology forecasts over different time scales, time periods, spatial domains, probability statements, and meteorology variables. This practical, hands-on guide presents comprehensive and straightforward theory, procedures, and examples for using short-term, seasonal, and interannual forecasts of meteorology probabilities, which are available from the National Oceanic and Atmospheric Administration, Environment Canada, and other agencies. The examples use different hydrology models and employ both user-defined and agency-produced meteorology probability forecasts in the United States and Canada. The examples also illustrate El Nino and La Nina conditional probabilities and examples of their derivation, as well as provide sufficient information for the reader's own applications. An extensive appendix describes the acquisition, installation, and use of freely available software to prepare historical files for individualized applications, to input forecast meteorology probabilities of a specific site, to extract reference quantile estimates, to prioritize forecasts, and to solve the resulting set of equations for derivative forecasts.

Hydrological forecasting. --- Probability forecasts (Meteorology)

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Statistical science --- Mathematical statistics --- Probability theory

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Mathematical statistics --- Distribution (Probability theory) --- Sampling (Statistics) --- Distribution (Probability theory). --- Sampling (Statistics). --- Statistique

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A down-to-earth survey of the theory and practice of extreme value distributions - one of the most prominent success stories of modern applied probability and statistics. It should be useful both to beginners with a limited probabilistic background as well as to experts in the field.

Extreme value theory. --- Distribution (Probability theory) --- Random variables