@article{2978920,
    title = "A class of goodness-of-fit tests for circular distributions based on trigonometric moments",
    author = "Jammalamadaka, S.R. and Jiménez-Gamero, M.D. and Meintanis, S.G.",
    journal = "SORT: Statistics and Operations Research Transactions",
    year = "2019",
    volume = "43",
    number = "2",
    pages = "317-336",
    publisher = "Institut d'Estadística de Catalunya (IDESCAT)",
    issn = "1696-2281, 2013-8830",
    doi = "10.2436/20.8080.02.90",
    keywords = "Maximum likelihood estimation, Bootstrap re-sampling techniques;  Characteristic functions;  Circular data;  Empirical characteristic function;  Goodness of fit;  Goodness-of-fit test;  Parametric family;  Von Mises distribution, Statistical tests",
    abstract = "We propose a class of goodness-of-fit test procedures for arbitrary parametric families of circular distributions with unknown parameters. The tests make use of the specific form of the characteristic function of the family being tested, and are shown to be consistent. We derive the asymptotic null distribution and suggest that the new method be implemented using a bootstrap resampling technique that approximates this distribution consistently. As an illustration, we then specialize this method to testing whether a given data set is from the von Mises distribution, a model that is commonly used and for which considerable theory has been developed. An extensive Monte Carlo study is carried out to compare the new tests with other existing omnibus tests for this model. An application involving five real data sets is provided in order to illustrate the new procedure. © 2019 Institut d'Estadistica de Catalunya. All rights reserved."
}