Journal
SOFT METHODS FOR DATA SCIENCE
Volume 456, Issue -, Pages 173-180Publisher
SPRINGER INTERNATIONAL PUBLISHING AG
DOI: 10.1007/978-3-319-42972-4_22
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A test is proposed to check whether a random sample comes from a truncation invariant copula C, that is, if C is the copula of a pair (U, V) of random variables uniformly distributed on [0, 1], then C is also the copula of the conditional distribution function of (U, V vertical bar U <= alpha) for every alpha epsilon (0, 1]. The asymptotic normality of the test statistics is shown. Moreover, a procedure is described to simplify the approximation of the asymptotic variance of the test. Its performance is investigated in a simulation study.
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