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Portmanteau tests for linearity of stationary time series
Authors:Zacharias Psaradakis  Marián Vávra
Affiliation:1. Department of Economics, Mathematics and Statistics, Birkbeck, University of London, London, UK;2. Advisor to the Governor and Research Department, National Bank of Slovakia, Bratislava, Slovakia
Abstract:This article considers the problem of testing for linearity of stationary time series. Portmanteau tests are discussed which are based on generalized correlations of residuals from a linear model (that is, autocorrelations and cross-correlations of different powers of the residuals). The finite-sample properties of the tests are assessed by means of Monte Carlo experiments. The tests are applied to 100 time series of stock returns.
Keywords:Autocorrelation  cross-correlation  nonlinearity  portmanteau test  stock returns
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