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1 results

  • The intrinsic random functions and their applications

  • G. Matheron
  • Journal:
    Advances in Applied Probability / Volume 5 / Issue 3 / December 1973
    Published online by Cambridge University Press:
    01 July 2016, pp. 439-468
    Print publication:
    December 1973
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  • The intrinsic random functions (IRF) are a particular case of the Guelfand generalized processes with stationary increments. They constitute a much wider class than the stationary RF, and are used in practical applications for representing non-stationary phenomena. The most important topics are: existence of a generalized covariance (GC) for which statistical inference is possible from a unique realization; theory of the best linear intrinsic estimator (BLIE) used for contouring and estimating problems; the turning bands method for simulating IRF; and the models with polynomial GC, for which statistical inference may be performed by automatic procedures.