Morten Ø. Nielsen (Queen's)

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Morten Ø. Nielsen

Statistics

A seminar by Morten Ø. Nielsen from Queen's University

Title: Inference on the dimension of the nonstationary subspace in functional time series

Abstract: We propose a statistical procedure to determine the dimension of the nonstationary subspace of cointegrated functional time series taking values in the Hilbert space of square-integrable functions defined on a compact interval. The procedure is based on sequential application of a proposed test for the dimension of the nonstationary subspace. To avoid estimation of the long-run covariance operator, our test is based on a variance ratio-type statistic. We derive the asymptotic null distribution and prove consistency of the test. Monte Carlo simulations show good performance of our test and provide evidence that it outperforms the existing testing procedure. We apply our methodology to three empirical examples: age-specific US employment rates, Australian temperature curves, and Ontario electricity demand.

Start date:

11am Thursday, 28 Nov 2019

End date:

12pm Thursday, 28 Nov 2019

Venue:

CBE LT1

Presenter(s):

Morten Ø. Nielsen

Updated:   8 November 2019 / Responsible Officer:  CBE Communications and Outreach / Page Contact:  College Web Team