Research Article

WRAPPED FLEXIBLE SKEW LAPLACE DISTRIBUTION

Volume: 11 Number: 3 December 31, 2018
EN

WRAPPED FLEXIBLE SKEW LAPLACE DISTRIBUTION

Abstract

We introduce a new circular distribution named as wrapped flexible skew Laplace distribution. This distribution is the generalization of wrapped Laplace which was introduced by Jammalamadaka and Kozubowski 2003 and has more flexibility properties in terms of skewness, kurtosis, unimodality or bimodality. We also derive expressions for characteristic function, trigonometric moments, coefficients of skewness and kurtosis. We analyzed two popular datasets from the literature to show the good modeling ability of the WFSL distribution.

Keywords

References

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  2. Dattatreya Rao, A., I. Ramabhadra Sarma, and S. Girija (2007). On wrapped version of some life testing models. Communications in Statistics-Theory and Methods, 36 (11), 2027–2035.
  3. Fernandez-Duran, J. (2004). Circular distributions based on nonnegative trigonometric sums. Biometrics, 60 (2), 499–503.
  4. Fisher, N. I. (1995). Statistical Analysis of Circular Data. Cambridge University Press.
  5. Jammalamadaka, S. R. and T. Kozubowski (2003). A new family of circular models: The wrapped laplace distributions. Advances and applications in statistics, 3 (1), 77–103.
  6. Jammalamadaka, S. R. and T. J. Kozubowski (2004). New families of wrapped distributions for modeling skew circular data. Communications in Statistics-Theory and Methods, 33 (9), 2059–2074.
  7. Jammalamadaka, S. R. and A. Sengupta (2001). Topics in circular statistics, Volume 5. World Scientific.
  8. Joshi, S. and K. K. Jose (2018). Wrapped lindley distribution. Communications in Statistics-Theory and Methods, 47 (5), 1013–1021.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Publication Date

December 31, 2018

Submission Date

October 23, 2018

Acceptance Date

December 5, 2018

Published in Issue

Year 2018 Volume: 11 Number: 3

APA
Yılmaz, A. (2018). WRAPPED FLEXIBLE SKEW LAPLACE DISTRIBUTION. Istatistik Journal of The Turkish Statistical Association, 11(3), 53-64. https://izlik.org/JA43TE23XD
AMA
1.Yılmaz A. WRAPPED FLEXIBLE SKEW LAPLACE DISTRIBUTION. IJTSA. 2018;11(3):53-64. https://izlik.org/JA43TE23XD
Chicago
Yılmaz, Abdullah. 2018. “WRAPPED FLEXIBLE SKEW LAPLACE DISTRIBUTION”. Istatistik Journal of The Turkish Statistical Association 11 (3): 53-64. https://izlik.org/JA43TE23XD.
EndNote
Yılmaz A (December 1, 2018) WRAPPED FLEXIBLE SKEW LAPLACE DISTRIBUTION. Istatistik Journal of The Turkish Statistical Association 11 3 53–64.
IEEE
[1]A. Yılmaz, “WRAPPED FLEXIBLE SKEW LAPLACE DISTRIBUTION”, IJTSA, vol. 11, no. 3, pp. 53–64, Dec. 2018, [Online]. Available: https://izlik.org/JA43TE23XD
ISNAD
Yılmaz, Abdullah. “WRAPPED FLEXIBLE SKEW LAPLACE DISTRIBUTION”. Istatistik Journal of The Turkish Statistical Association 11/3 (December 1, 2018): 53-64. https://izlik.org/JA43TE23XD.
JAMA
1.Yılmaz A. WRAPPED FLEXIBLE SKEW LAPLACE DISTRIBUTION. IJTSA. 2018;11:53–64.
MLA
Yılmaz, Abdullah. “WRAPPED FLEXIBLE SKEW LAPLACE DISTRIBUTION”. Istatistik Journal of The Turkish Statistical Association, vol. 11, no. 3, Dec. 2018, pp. 53-64, https://izlik.org/JA43TE23XD.
Vancouver
1.Abdullah Yılmaz. WRAPPED FLEXIBLE SKEW LAPLACE DISTRIBUTION. IJTSA [Internet]. 2018 Dec. 1;11(3):53-64. Available from: https://izlik.org/JA43TE23XD