Contents

• List of Figures
• Statistical preliminaries
  • Random Variables
    • The concept of Probability
    • Random variables and random functions
  • Distributions
    • Examples of continuous distributions
    • Expected Value
  • Random Vectors
    • Independence
  
  
• Geostatistics in Hydrology: Kriging interpolation
  • Statistical assumptions
  • Kriging for Weak or Second Order stationary RF
  • Kriging with the intrinsic hypothesis
    • The variogram
  • Remarks about Kriging
  • Kriging with uncertainties
  • Validation of the interpolation model
  • Computational aspects
  • Kriging with moving neighborhoods
  • Detrending
  • Example of application of kriging for the reconstruction of an elevation map
  
  
• Bibliography