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Clipped AR(p) with unknown threshold

Publication at Faculty of Mathematics and Physics |
2020

Abstract

The present paper deals with a specific parameter estimation problem. Assuming a time series of 0-1-valued variables{Xn, n is an element of N0}obtained by clipping a Gaussian AR(p) time series{Zn, n is an element of N0}at unknown thresholdh, an efficient method for estimating parameters is proposed.

If the number of observations is sufficient, the model proves to be highly accurate. A set of simulations is provided as an illustration of theoretical results, supporting the quality of the estimation.