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Spectral density estimation for symmetric stable p-adic processes

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  • RACHID SABRE

    (Laboratory Le2i - University of Bourgogne - France)

Abstract

Applications of p-adic numbers ar beming increasingly important espcially in the field of applied physics. The objective of this work is to study the estimation of the spectral of p-adic stable processes. An estimator formed by a smoothing periodogram is constructed. It is shwon that this estimator is asymptotically unbiased and consistent. Rates of convergences are also examined.

Suggested Citation

  • Rachid Sabre, 2012. "Spectral density estimation for symmetric stable p-adic processes," Statistica, Department of Statistics, University of Bologna, vol. 72(4), pages 431-448.
    • Handle: RePEc:bot:rivsta:v:72:y:2012:i:4:p:431-448
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