Nonparametric tests for tail monotonicity

Betina Berghaus and Axel Bücher

Journal of Econometrics, 2014, vol. 180, issue 2, 117-126

Abstract: This article proposes nonparametric tests for tail monotonicity of bivariate random vectors. The test statistic is based on a Kolmogorov–Smirnov-type functional of the empirical copula. Depending on the serial dependence features of the data, we propose two multiplier bootstrap techniques to approximate the critical values. We show that the test is able to detect local alternatives converging to the null hypothesis at rate n−1/2 with a non-trivial power. A simulation study is performed to investigate the finite-sample performance and finally the procedure is illustrated by testing intergenerational income mobility and testing a market data set.

Keywords: Copula; Left tail decreasing; Multiplier bootstrap; Ranks; Tail monotonicity (search for similar items in EconPapers)
JEL-codes: C12 C14 (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:econom:v:180:y:2014:i:2:p:117-126

DOI: 10.1016/j.jeconom.2014.03.005

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