Random Functions and Hydrology
Courier Corporation, Jan 1, 1993 - Technology & Engineering - 559 pages
Advanced-level view of the tools of random processes and field theory as applied to the analysis and synthesis of hydrologic phenomena. Topics include time-series analysis, optimal estimation, optimal interpolation (Kriging), frequency-domain analysis of signals, and linear systems theory. Techniques and examples chosen to illustrate the latest advances in hydrologic signal analysis. Useable as graduate-level text in water resource systems, stochastic hydrology, random processes and signal analysis. 202 illustrations.
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GENERALIZED UNIVARIATE TIMESERIES
MovingAverage Model ARIMA
MULTIVARIATE TIMESERIES ANALYSIS
LONGTERM PERSISTENCE IN HYDROLOGIC
MULTIDIMENSIONAL HYDROLOGIC PROCESSES
ESTIMATION OF STATIC LINEAR HYDROLOGIC
ESTIMATION OF DYNAMIC HYDROLOGIC
ADDITIONAL DYNAMIC FILTERING CONCEPTS
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algorithm analysis approximation area mean assumed autocorrelation autocovariance autoregressive average basin behavior broken line broken-line process condition correlation function correlation structure corresponding covariance function covariance matrix defined density detrending discharge discrete distribution drift dynamic equation example expected value Figure finite forecast fractional Gaussian noise frequency Geostatistics given by Eq hydrologic Idem implies input Kalman filter Kriging lag-one correlation mean area precipitation mean square error multivariate nonlinear number of crossings number of stations observations obtained optimal parameter estimation partial autocorrelation prediction problem procedure random field random process random variables represents reservoir residuals Rodriguez-Iturbe and Mejía runoff sampling semivariogram sequence shown in Fig simulation skewness ſº solution spatial spectral standard deviation stationary stationary process statistics stochastic storm streamflow Table theory tion Variance reduction Variance reduction factor variogram vector Wadi Halfa Water Resources Res weights zero mean