Stable Random Field with P-adic-time and Spectral Density Estimation

Affiliation auteursAffiliation ok
TitreStable Random Field with P-adic-time and Spectral Density Estimation
Type de publicationConference Paper
Year of Publication2015
AuteursRachid S
Conference Name2015 INTERNATIONAL CONFERENCE ON ELECTRICAL AND ELECTRONICS: TECHNIQUES AND APPLICATIONS (EETA 2015)
PublisherDESTECH PUBLICATIONS, INC
Conference Location439 DUKE STREET, LANCASTER, PA 17602-4967 USA
ISBN Number978-1-60595-276-5
Mots-clésP-adic numbers, Spectral density, Stable process
Résumé

Applications of p-adic numbers are being increasingly important especially in the field of applied physics. The objective of this work is to study the estimation of the spectral of p-adic stable random field. An estimator formed by a smoothing periodogram is constructed. It is shown that this estimator is asymptotically unbiased and consistent. Rates of convergence are also examined.