A REMARK ON THE SPECTRAL-DOMAIN OF NONSTATIONARY PROCESSES

被引:2
作者
MICHALEK, J [1 ]
RUSCHENDORF, L [1 ]
机构
[1] UNIV MUNSTER,INST STAT MATH,W-4400 MUNSTER,GERMANY
关键词
SPECTRAL DOMAIN; WEAK HARMONIZABILITY; BIMEASURE; STOCHASTIC INTEGRAL; KARHUNEN CLASS; CRAMER CLASS;
D O I
10.1016/0304-4149(94)90057-4
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
The question of completeness of the spectral domain generated by a bimeasure is discussed. The bimeasure is derived from a spectral representation of a given process of weak class (C). In particular by an example it is shown that the spectral domain of a weak class (C) process is not necessarily complete. A sufficient condition for completeness is established.
引用
收藏
页码:55 / 64
页数:10
相关论文
共 12 条
[1]  
CRAMER H, 1961, 4TH P BERK S MATH ST, V2, P55
[2]  
CRAMER H, 1951, 2ND P BERK S MATH ST, P329
[3]  
GRANDELL J, 1976, LNM, V529
[4]  
HANNAN EJ, 1985, HDB STATISTICS, V5, P279
[5]  
MIAMEE AG, 1991, SCAND J STAT, V18, P249
[6]  
RAO MM, 1989, LECT NOTES MATH, V1379, P254
[7]  
RAO MM, 1989, STAT DATA ANAL INFER, P597
[9]  
Rozanov Y.A., 1967, STATIONARY RANDOM PR
[10]   INFERENCE FOR RANDOM SAMPLING PROCESSES [J].
RUSCHENDORF, L .
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 1989, 32 (01) :129-140