Testing serial independence using the sample distribution function

Miguel Delgado ()

DES - Working Papers. Statistics and Econometrics. WS from Universidad Carlos III de Madrid. Departamento de Estadística

Abstract: This paper presents and discusses a nonparametric test for detecting serial dependence. We consider a Cramèr-v.Mises statistic based on the difference between the joint sample distribution and the product of the marginals. Exact critical values can be approximated from the asymptotic null distribution or by resampling, randomly permuting the original series. The approximation based on resampling is more accurate and the corresponding test enjoys, like other bootstrap based procedures, excellent level accuracy, with level error of order T-3/2. A Monte Carlo experiment illustrates the test performance with small and moderate sample sizes. The paper also includes an application, testing the random walk hypothesis of exchange rate returns for several currencies.

Keywords: Serial; independence; test; Multivariate; sample; distribution; Hoeffding-Blum-Kiefer-Rosenblatt; empirical; process; Random; permutation; test; Ergodic; alternatives (search for similar items in EconPapers)
Date: 1993-09
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Related works:
Journal Article: TESTING SERIAL INDEPENDENCE USING THE SAMPLE DISTRIBUTION FUNCTION (1996)
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Persistent link: https://EconPapers.repec.org/RePEc:cte:wsrepe:3729

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