Local sample function behavior of random fields with independent increments

1979 ◽  
Vol 19 (1) ◽  
pp. 60-67 ◽  
Author(s):  
N. Kalinauskaite
Keyword(s):  
Random Fields ◽  
Sample Function ◽  
Independent Increments ◽  
Local Sample

The horizon problem for random surfaces

1991 ◽  
Vol 109 (1) ◽  
pp. 211-219 ◽  
Author(s):  
K. J. Falconer
Keyword(s):  
Computer Simulation ◽  
Stochastic Processes ◽  
Random Field ◽  
Random Fields ◽  
Sample Function ◽  
Gaussian Fields ◽  
Random Surfaces ◽  
Horizon Problem ◽  
Typical Sample

Computer simulation of landscapes and skylines has recently attracted a great deal of interest: see [6, 7]. Specification of a ‘landscape’ requires a function f: D → ℝ on a subset D of ℝ2, selected so that the apparent irregularity and randomness of the surface {(t,f(t)): t ∈ D} corresponds to what might be observed in nature. It is natural to look to random fields (that is, stochastic processes in two variables), and in particular to Gaussian fields, for functions with such properties. Even when an appropriate random field has been selected, determination of a typical sample function is far from easy [7].

scholarly journals Random fields with independent increments

1972 ◽  
Vol 12 (4) ◽  
pp. 75-85
Author(s):  
A. Katkauskaitė
Keyword(s):  
Random Fields ◽  
Independent Increments

The abstracts (in two languages) can be found in the pdf file of the article. Original author name(s) and title in Russian and Lithuanian: А. Каткаускайте. Случайные поля с независимыми приращениями A. Katkauskaitė. Atsitiktiniai laukai su nepriklausomaisiais pokyčiais

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