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Detecting Change in the Number of Modes for Circular Data

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Abstract

In this paper, we investigate change-point problems for the number of modes in circular data. We use a mixture of two circular normal distributions to model the observed data. Tests for detecting the presence of change-point are derived using the generalized likelihood-ratio method. Asymptotic distributions of the test statistics are obtained. Results of some simulation studies are also presented.

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Acknowledgements

The authors would like to thank the referee, whose valuable comments have helped improve the presentation of the paper.

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Authors and Affiliations

  1. University of Nevada, Las Vegas, NV, USA

    Kaushik Ghosh

  2. Moorpark College, Moorpark, CA, USA

    Michael M. Nava

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  1. Kaushik Ghosh
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  2. Michael M. Nava
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Correspondence to Kaushik Ghosh.

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Ghosh, K., Nava, M.M. Detecting Change in the Number of Modes for Circular Data. J Stat Theory Pract 15, 32 (2021). https://doi.org/10.1007/s42519-021-00166-3

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  • DOI: https://doi.org/10.1007/s42519-021-00166-3

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