Recursive estimation for regression with infinite variance fractional ARIMA noise

Recursive estimation for regression with infinite variance fractional ARIMA noise

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Article ID: iaor2004899
Country: Netherlands
Volume: 34
Issue: 9/11
Start Page Number: 1133
End Page Number: 1137
Publication Date: Nov 2001
Journal: Mathematical and Computer Modelling
Authors: ,
Keywords: finance & banking, stochastic processes
Abstract:

Recently, there has been a growing interest in modeling financial time series using fractional ARIMA models with stable innovations. In this paper, the corresponding nonparametric problem for regression with fractional ARIMA noise is studied. A recursive algorithm for estimating time varying parameters is given. It is also shown that a number of existing algorithms are special cases of this proposed algorithm.

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