Studying of Energy-Like Statistic Under Sine-Model Samples by Chord Circular Distance

Authors

  • Ayaat Maan university of kufa
  • Samira Faisal Abushilah Department of Mathematics, Faculty of Education for Girls University of Kufa

DOI:

https://doi.org/10.31642/JoKMC/2018/100220%20

Keywords:

Circular data , Sine-model circular distribution, Energy statistic, chord distance

Abstract

Statistical properties of the energy-like statistic under bivariate Sine-Model circular distribution and     chord circular distance is presented in this paper. Simulation study is consider as well to examine the properties that we computed by comparing the true expected value and variance of the Sine-Model with the estimated expected value and variance under different sample sizes and different values of the parameters using R-Studio software.

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References

Jammalamadaka, S. Rao, and Ashis SenGupta. Topics in circular statistics. Vol. 5. world scientific, 2001.‏

Pewsey, Arthur, Markus Neuhäuser, and Graeme D. Ruxton. Circular statistics in R. OUP Oxford, 2013.‏

Wheeler, Stanley, and Geoffrey S. Watson. "A distribution-free two-sample test on a circle." Biometrika 51.1/2 (1964): 256-257.‏

Rizzo, Maria L., and Gábor J. Székely. "Energy distance." wiley interdisciplinary reviews: Computational statistics 8.1 (2016): 27-38.‏

Benoist, Tristan, Vojkan Jakšić, and Claude-Alain Pillet. "Energy statistics in open harmonic networks." Journal of Statistical Physics 168 (2017): 1016-1030.‏

Green, Earl, and Charmaine D. DeLisser. "Advancing a culture of effective energy statistics and information management: A study of the CARICOM economic space." World Journal of Science, Technology and Sustainable Development 15.1 (2018): 26-34

Ali, Ahmed Jebur, and Samira Faisal Abushilah. "Distribution-free two-sample homogeneity test for circular data based on geodesic distance." International Journal of Nonlinear Analysis and Applications 13.1 (2022): 2703-2711.‏

Glimm, Ekkehard. "Fisher, NI: Statistical Analysis Of Circular Data. Cambridge University Press, Cambridge, UK 1995. 277 pp.,£ 16.95." Biometrical Journal 38.3 (1996): 314-314.‏

Mardia, K. V., and P. E. Jupp. "Directional statistics. john willey and sons." Inc., Chichester (2000).‏

Mardia, K. V., and T. W. Sutton. "On the modes of a mixture of two von Mises distributions." Biometrika (1975): 699-701.

Singh, Harshinder, Vladimir Hnizdo, and Eugene Demchuk. "Probabilistic model for two dependent circular variables." Biometrika 89.3 (2002): 719-723.

Cremers, Jolien, and Irene Klugkist. "One direction? A tutorial for circular data analysis using R with examples in cognitive psychology." Frontiers in psychology 9 (2018): 2040.

Nguyen, Hien Duy, et al. "Approximate Bayesian computation via the energy statistic." IEEE Access 8 (2020): 131683-131698.‏

Zhao, Tie-Hong, Lei Shi, and Yu-Ming Chu. "Convexity and concavity of the modified Bessel functions of the first kind with respect to Hölder means." Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 114 (2020): 1-14.‏

Nguyen, Hien Duy, et al. "Approximate Bayesian computation via the energy statistic." IEEE Access 8 (2020): 131683-131698.‏

Gritsenko, Alexey, et al. "A spectral energy distance for parallel speech synthesis." Advances in Neural Information Processing Systems 33 (2020): 13062-13072.‏

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Published

2023-08-31

How to Cite

Maan, A., & Abushilah, S. F. (2023). Studying of Energy-Like Statistic Under Sine-Model Samples by Chord Circular Distance. Journal of Kufa for Mathematics and Computer, 10(2), 120–124. https://doi.org/10.31642/JoKMC/2018/100220