Criteria for the Strong Law of Large Numbers for Some Classes of Second-Order Stationary Processes and Homogeneous Random Fields

1978 ◽  
Vol 22 (2) ◽  
pp. 286-310 ◽  
Author(s):  
V. F. Gaposhkin
Keyword(s):  
Random Fields ◽  
Law Of Large Numbers ◽  
Second Order ◽  
Stationary Processes ◽  
Strong Law ◽  
Large Numbers

scholarly journals A strong law of large numbers for harmonizable isotropic random fields

1997 ◽  
Vol 10 (3) ◽  
pp. 219-225 ◽  
Author(s):  
Randall J. Swift
Keyword(s):  
Random Field ◽  
Random Fields ◽  
Law Of Large Numbers ◽  
Natural Extension ◽  
Spherical Average ◽  
Strong Law ◽  
Isotropic Random Field ◽  
Large Numbers ◽  
Isotropic Random

The class of harmonizable fields is a natural extension of the class of stationary fields. This paper considers a strong law of large numbers for the spherical average of a harmonizable isotropic random field.

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