EXACT HAUSDORFF MEASURE OF ZERO SET OF CERTAIN STATIONARY GAUSSIAN PROCESSES

被引：3
作者：
DAVIES, PL [1 ]
机构：
[1] UNIV MUNSTER,INST MATH STAT,D-4400 MUNSTER,FED REP GER
来源：
ANNALS OF PROBABILITY | 1977年 / 5卷 / 05期
关键词：
D O I：
10.1214/aop/1176995716
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
引用
收藏
页码：740 / 755
页数：16
相关论文
共 16 条
[1]   HARMONIC ANALYSIS OF LOCAL TIMES AND SAMPLE FUNCTIONS OF GAUSSIAN PROCESSES [J].
BERMAN, SM .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 143 (SEP) :269-+
[2]   LOCAL TIMES AND SAMPLE FUNCTION PROPERTIES OF STATIONARY GAUSSIAN PROCESSES [J].
BERMAN, SM .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 137 (MAR) :277-&
[3]   GAUSSIAN SAMPLE FUNCTIONS - UNIFORM DIMENSION AND HOLDER CONDITIONS NOWHERE [J].
BERMAN, SM .
NAGOYA MATHEMATICAL JOURNAL, 1972, 46 (MAR) :63-&
[4]   LOCAL NONDETERMINISM AND LOCAL TIMES OF GAUSSIAN PROCESSES [J].
BERMAN, SM .
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1973, 23 (01) :69-94
[5]   GAUSSIAN PROCESSES WITH STATIONARY INCREMENTS - LOCAL TIMES AND SAMPLE FUNCTION PROPERTIES [J].
BERMAN, SM .
ANNALS OF MATHEMATICAL STATISTICS, 1970, 41 (04) :1260-&
[6]   LOCAL HOLDER CONDITIONS FOR LOCAL TIMES OF CERTAIN STATIONARY GAUSSIAN PROCESSES [J].
DAVIES, L .
ANNALS OF PROBABILITY, 1976, 4 (02) :277-298
[7]  
FERNIQUE X, 1964, CR HEBD ACAD SCI, V258, P6058
[8]  
KAHANE JP, 1968, RANDOM SERIES FUNCTI
[9]  
Lamperti J.W., 1962, T AM MATH SOC, V104, P62, DOI DOI 10.1090/S0002-9947-1962-0138128-7
[10]   A BOUND FOR DISTRIBUTION OF MAXIMUM OF CONTINUOUS GAUSSIAN PROCESSES [J].
MARCUS, M .
ANNALS OF MATHEMATICAL STATISTICS, 1970, 41 (01) :305-&
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