On the sufficient equivalence conditions of Gaussian measures corresponding to homogeneous fields whose spectral densities have real zeros

被引：0

作者：

Krasnitskii, SM ^{[1
]}

Kryvyi, SL

机构：

[1] State Acad Light Ind, Kiev, Ukraine

[2] Natl Acad Sci Ukraine, Inst Cybernet, Kiev, Ukraine

来源：

CYBERNETICS AND SYSTEMS ANALYSIS | 1999年 / 35卷 / 06期

关键词：

homogeneous random fields; spectral densities of fields; Gaussian measures; equivalence criteria of Gaussian measures;

D O I：

10.1007/BF02742278

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

The sufficient equivalence criteria of probability measures corresponding to Gaussian homogeneous random fields are given in terms of the spectral densities of the fields considered. These criteria are represented in a form taking into account the possibility of vanishing of the mentioned spectral densities.

引用

页码：875 / 883

页数：9

共 14 条

[1] On the sufficient equivalence conditions of gaussian measures corresponding to homogeneous fields whose spectral densities have real zeros
S. M. Krasnitskii
S. L. Kryvyi
Cybernetics and Systems Analysis, 1999, 35 : 875 - 883
[2] CONDITIONS FOR EQUIVALENCE OF GAUSSIAN MEASURES CORRESPONDING TO HOMOGENEOUS RANDOM-FIELDS WITH MODERATELY DECREASING SPECTRAL DENSITIES
KRASNITSKII, SM
THEORY OF PROBABILITY AND ITS APPLICATIONS, 1988, 32 (01) : 185 - 185
[3] CONDITIONS OF EQUIVALENCE AND PERPENDICULARITY OF MEASURES CORRESPONDING TO HOMOGENEOUS GAUSSIAN FIELDS
KRASNITS.SM
TEORIYA VEROYATNOSTEI I YEYE PRIMENIYA, 1973, 18 (03): : 615 - 621
[4] Necessary and sufficient conditions of equivalence of probability measures corresponding to homogeneous random fields with spectral density
Krasnitskii, SM
CYBERNETICS AND SYSTEMS ANALYSIS, 1997, 33 (05) : 641 - 646
[5] Necessary and sufficient conditions of equivalence of probability measures corresponding to homogeneous random fields with spectral density
S. M. Krasnitskii
Cybernetics and Systems Analysis, 1997, 33 : 641 - 646
[6] ON SPECTRAL CONDITIONS OF EQUIVALENCE OF GAUSSIAN MEASURES FOR HOMOGENEOUS RANDOM-FIELDS
KRASNITSKII, SM
THEORY OF PROBABILITY AND ITS APPLICATIONS, 1984, 28 (03) : 645 - 645
[7] CONDITIONS FOR THE EQUIVALENCE OF DISTRIBUTIONS OF HOMOGENEOUS GAUSSIAN FIELDS
KRASNITSKII, SM
THEORY OF PROBABILITY AND ITS APPLICATIONS, 1989, 34 (04) : 720 - 725
[8] ABSOLUTE CONTINUITY OF MEASURES CORRESPONDING TO HOMOGENEOUS GAUSSIAN FIELDS
SKOROKHOD, AV
YADRENKO, MI
TEORIYA VEROYATNOSTEI I YEYE PRIMENIYA, 1973, 18 (01): : 30 - 43
[9] Some comparative aspects of equivalence conditions of probability measures corresponding to ordinary and generalized random Gaussian fields
Krasnitskii, SM
CYBERNETICS AND SYSTEMS ANALYSIS, 2000, 36 (05) : 691 - 698
[10] Some Comparative Aspects of Equivalence Conditions of Probability Measures Corresponding to Ordinary and Generalized Random Gaussian Fields
S. M. Krasnitskii
Cybernetics and Systems Analysis, 2000, 36 : 691 - 698

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