## Random Functions and HydrologyAdvanced-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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### Contents

INTRODUCTION | 1 |

GENERALIZED UNIVARIATE TIMESERIES | 14 |

MULTIVARIATE TIMESERIES ANALYSIS | 91 |

FREQUENCYDOMAIN ANALYSIS | 155 |

LONGTERM PERSISTENCE IN HYDROLOGIC | 210 |

APPENDIX TO CHAPTER 5 THE BROKENLINE | 266 |

MULTIDIMENSIONAL HYDROLOGIC PROCESSES | 281 |

ESTIMATION OF STATIC LINEAR HYDROLOGIC | 359 |

ESTIMATION OF DYNAMIC HYDROLOGIC | 425 |

ADDITIONAL DYNAMIC FILTERING CONCEPTS | 466 |

521 | |

545 | |

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### Common terms and phrases

analysis Applications approach approximation assumed autocorrelation average behavior Bras broken line Chapter coefficient computed constant continuous correlation function corresponding covariance defined depends deviation discharge discrete discussed distribution elements equal equation error estimation example expected expressed field Figure filter flow forecasting frequency Gaussian given gives historical hydrologic implies input Kalman lag-one lead linear matrix mean measurement Mejía method month multivariate noise normal Note observations obtained operation optimal parameters period possible prediction presented preserve probability problem procedure properties rainfall random random variables region represents reservoir residuals respectively River Rodríguez-Iturbe sampling seasonal sequence shown shows simulation solution space spatial square standard stationary stations statistics stochastic storm streamflow structure Table theory tion unit values variables variance vector Water Resources weights yields zero