Estimation of Additive Error in Mixed Spectra for Stable Processes


  • Rachid Sabre Université de Bourgogne, Dijon



Spectral density, Jackson kernel, Stable processes


Consider a symmetric α stable process having a spectral representation with an additive constant error. An estimator of that error and its rate of convergence are given. We study the rate of convergence when the spectral density have some behaviors at origin. Few long memory processes are taken here as example.


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How to Cite

Sabre, R. (2017). Estimation of Additive Error in Mixed Spectra for Stable Processes. Statistica, 77(2), 75–90.