Year: 2017
Type: preprint
Abstract: It is well-known that random-coefficient AR(1) process can have long memory depending on the index $β$ of the tail distribution function of the random coefficient, if it is a regularly varying function at unity. We discuss estimation of $β$ from panel data comprising N random-coefficient AR(1) series, each of length T. The estimator of $β$ is constructed as a version of the tail index estimator of Goldie and Smith (1987) applied to sample lag 1 autocorrelations of individual time series. Its asymptotic normality is derived under certain conditions on N, T and some parameters of our statistical model. Based on this result, we construct a statistical procedure to test if the panel random-coefficient AR(1) data exhibit long memory. A simulation study illustrates finite-sample performance of the introduced estimator and testing procedure.
Source: arXiv (Cornell University)
Authors: Leipus, Remigijus, Philippe, Anne, Pilipauskaite, Vytaute, Surgailis, Donatas
Language: English
Subfield: Economics and Econometrics
Domain: Social Sciences
Open Access status: green
Funder: Villum Fonden
OpenAlex ID: W2767118595