Stable Random Field with P-adic-time and Spectral Density Estimation
Affiliation auteurs | Affiliation ok |
Titre | Stable Random Field with P-adic-time and Spectral Density Estimation |
Type de publication | Conference Paper |
Year of Publication | 2015 |
Auteurs | Rachid S |
Conference Name | 2015 INTERNATIONAL CONFERENCE ON ELECTRICAL AND ELECTRONICS: TECHNIQUES AND APPLICATIONS (EETA 2015) |
Publisher | DESTECH PUBLICATIONS, INC |
Conference Location | 439 DUKE STREET, LANCASTER, PA 17602-4967 USA |
ISBN Number | 978-1-60595-276-5 |
Mots-clés | P-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. |