Asymptotic normality of the sample mean and covariances of evanescent fields in noise
We consider the asymptotic properties of the sample mean and the sample covariance sequence of a field composed of the sum of a purely indeterministic and evanescent components. The asymptotic normality of the sample mean and sample covariances is established. A Bartlett-type formula for the asymptotic covariance matrix of the sample covariances of this field, is derived.
Volume (Year): 98 (2007)
Issue (Month): 10 (November)
|Contact details of provider:|| Web page: http://www.elsevier.com/wps/find/journaldescription.cws_home/622892/description#description|
|Order Information:|| Postal: http://www.elsevier.com/wps/find/supportfaq.cws_home/regional|
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Li, Ta-Hsin, 1996. "Bartlett-type formulas for complex multivariate time series of mixed spectra," Statistics & Probability Letters, Elsevier, vol. 28(3), pages 259-268, July.
- Li, Ta-Hsin & Kedem, Benjamin & Yakowitz, Sid, 1994. "Asymptotic normality of sample autocovariances with an application in frequency estimation," Stochastic Processes and their Applications, Elsevier, vol. 52(2), pages 329-349, August.
- Kallianpur, G. & Miamee, A. G. & Niemi, H., 1990. "On the prediction theory of two-parameter stationary random fields," Journal of Multivariate Analysis, Elsevier, vol. 32(1), pages 120-149, January.
- Chiang, Tse-Pei, 1991. "The prediction theory of stationary random fields. III. Fourfold Wold decompositions," Journal of Multivariate Analysis, Elsevier, vol. 37(1), pages 46-65, April.
When requesting a correction, please mention this item's handle: RePEc:eee:jmvana:v:98:y:2007:i:10:p:1853-1875. See general information about how to correct material in RePEc.
If references are entirely missing, you can add them using this form.