Geodesic
A theorem on properties of sample functions of a~random field and generalized random fields
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2011), pp. 48-56

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We prove a theorem on the equivalence of some properties of a random field defined in terms of sample functions. We apply this theorem for studying generalized random fields.
Keywords: random fields, sample functions, total transform of a measure, cylindric set algebras, generalized random field. 
@article{IVM_2011_7_a5,
     author = {S. L. Starodubov},
     title = {A theorem on properties of sample functions of a~random field and generalized random fields},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {48--56},
     publisher = {mathdoc},
     number = {7},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2011_7_a5/}
}
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S. L. Starodubov. A theorem on properties of sample functions of a~random field and generalized random fields. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2011), pp. 48-56. http://geodesic.mathdoc.fr/item/IVM_2011_7_a5/