Testing and dating structural changes in copula-based dependence measures. Issue 5 (4th April 2022)

• Record Type: Journal Article
• Authors: Stark, Florian; Otto, Sven
• Is Part Of: Journal of applied statistics. Volume 49:Issue 5(2022)
• Page Start: 1121
• Page End: 1139
• Publication Date: 2022-04-04
• Subjects: Dependence measure testing -- Spearman's rho -- quantile dependence -- portfolio optimization; C12 -- C14; Statistics -- Periodicals; 519.5
• DOI: 10.1080/02664763.2020.1850655
• Languages: English
• ISSNs: 0266-4763

Abstract

Abstract : This paper is concerned with testing and dating structural breaks in the dependence structure of multivariate time series. We consider a cumulative sum (CUSUM) type test for constant copula-based dependence measures, such as Spearman's rank correlation and quantile dependencies. The asymptotic null distribution is not known in closed form and critical values are estimated by an i.i.d. bootstrap procedure. We analyze size and power properties in a simulation study under different dependence measure settings, such as skewed and fat-tailed distributions. To date breakpoints and to decide whether two estimated break locations belong to the same break event, we propose a pivot confidence interval procedure. Finally, we apply the test to the historical data of 10 large financial firms during the last financial crisis from 2002 to mid-2013.