TY  - JOUR
T1  - WRAPPED FLEXIBLE SKEW LAPLACE DISTRIBUTION
AU  - Yılmaz, Abdullah
PY  - 2018
DA  - December
Y2  - 2018
JF  - Istatistik Journal of The Turkish Statistical Association
JO  - IJTSA
PB  - Başbakanlık
WT  - DergiPark
SN  - 1300-4077
SP  - 53
EP  - 64
VL  - 11
IS  - 3
LA  - en
AB  - 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.
KW  - Circular distribution
KW  - flexible skew laplace distribution
KW  - wrapped distribution
KW  - laplace distribution
KW  - skew-symmetric distribution
CR  - Azzalini, A. (1985). A class of distributions which includes the normal ones. Scandinavian Journal of Statistics, 12 (2), 171–178.
CR  - 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.
CR  - Fernandez-Duran, J. (2004). Circular distributions based on nonnegative trigonometric sums. Biometrics, 60 (2), 499–503.
CR  - Fisher, N. I. (1995). Statistical Analysis of Circular Data. Cambridge University Press.
CR  - 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.
CR  - 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.
CR  - Jammalamadaka, S. R. and A. Sengupta (2001). Topics in circular statistics, Volume 5. World Scientific.
CR  - Joshi, S. and K. K. Jose (2018). Wrapped lindley distribution. Communications in Statistics-Theory and Methods, 47 (5), 1013–1021.
CR  - Mardia, K. (1972). Statistics of Directional Data. London: Academic Press.
CR  - Mardia, K. V. and P. E. Jupp (2009). Directional Statistics, Volume 494. John Wiley-Sons.
CR  - Pewsey, A. (2000). The wrapped skew-normal distribution on the circle. Communications in Statistics- Theory and Methods, 29 (11), 2459–2472.
CR  - Phani, Y., S. Girija, and A. Dattatreya Rao (2012). Circular model induced by inverse stereographic projection on extreme-value distribution. Engineering Science and Technology, 2 (5), 881–888.
CR  - Umbach, D. and S. R. Jammalamadaka (2009). Building asymmetry into circular distributions. Statistics & Probability Letters, 79 (5), 659–663.
CR  - Yilmaz, A. (2016). The flexible skew laplace distribution. Communications in Statistics-Theory and Methods, 45 (23), 7053–7059.
CR  - Yilmaz, A. and C. Bi¸cer (2018). A new wrapped exponential distribution. Mathematical Sciences, 12 (4), 285–293.
UR  - https://dergipark.org.tr/en/pub/ijtsa/issue//518201
L1  - https://dergipark.org.tr/en/download/article-file/634849
ER  -