Nonparametric Tests of Independence for Circular Data Based on Trigonometric Moments
نویسندگان
چکیده
We introduce nonparametric tests of independence for bivariate circular data based on trigonometric moments. Our contributions lie in (i) proposing that are locally and asymptotically optimal against cosine von Mises alternatives (ii) extending these tests, via the empirical characteristic function, to obtain consistent broader sets alternatives, eventually being omnibus. thus provide a collection trigonometric-based varying generality known optimalities. The large-sample behaviours under null alternative hypotheses obtained, while simulations show new competitive previous proposals. Two applications astronomy forest science illustrate usage tests.
منابع مشابه
Nonparametric Tests for Independence
Glossary Hypothesis A hypothesis is a statement concerning the (joint) distribution underlying the observed data. Nonparametric test In contrast to a parametric test, a nonparametric test does not presume a particular parametric structure concerning the data generating process. Serial dependence Statistical dependence among time series observations.
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ژورنال
عنوان ژورنال: Statistica Sinica
سال: 2024
ISSN: ['1017-0405', '1996-8507']
DOI: https://doi.org/10.5705/ss.202021.0416