Estimation of spectral densities of periodically correlated processes by random sampling

被引:0
作者
Monsan, V
机构
来源
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1996年 / 323卷 / 09期
关键词
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We consider possibly non-Gaussian periodically correlated random processes and estimate the corresponding spectral densities, by statistics based upon randomly sampled observations. Under suitable assumptions imposed on the covariance functions we establish the quadratic mean consistency of these estimators.
引用
收藏
页码:1065 / 1068
页数:4
相关论文
共 8 条
[1]  
GLADYSHEV EG, 1993, THEOR PROBAB APPL, V8, P173
[2]   NONPARAMETRIC TIME-SERIES ANALYSIS FOR PERIODICALLY CORRELATED PROCESSES [J].
HURD, HL .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1989, 35 (02) :350-359
[4]   DISCRETE-TIME SPECTRAL ESTIMATION OF CONTINUOUS-PARAMETER PROCESSES - NEW CONSISTENT ESTIMATE [J].
MASRY, E ;
LUI, MCC .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1976, 22 (03) :298-312
[5]  
MESSACI F, 1986, THESIS U ROUEN FRANC
[6]  
MONSAN V, 1994, THESIS U ROUEN FRANC
[7]  
MONSAN V, 1994, APPL MATH, V22, P227
[8]   ALIAS-FREE SAMPLING OF RANDOM NOISE [J].
SHAPIRO, HS ;
SILVERMAN, RA .
JOURNAL OF THE SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS, 1960, 8 (02) :225-248