A generalization of Tukey’s g-h family of distributions
- 10.2991/jsta.2015.14.1.3How to use a DOI?
- Tukey’s g-h family of distributions, generalized error distribution, Lambert’s function, Fourier transform
A new class of distribution function based on the symmetric densities is introduced, these transformations also produce nonnormal distributions and its pdf and cd f can be expressed in parametric form. This class of distributions depend on the two parameters, namely g and h which controls the skewness and the elongation of the tails, respectively. This class of skewed distributions is a generalization of Tukey’s g-h family of distributions. In this paper, we calculate a closed form expression for the density and distribution of the Tukey’s g-h family of generalized distributions, which allows us to easily compute probabilities, moments and related measures.
- © 2017, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - J.A. Jiménez AU - V. Arunachalam AU - G.M. Serna PY - 2015 DA - 2015/03/31 TI - A generalization of Tukey’s g-h family of distributions JO - Journal of Statistical Theory and Applications SP - 28 EP - 44 VL - 14 IS - 1 SN - 2214-1766 UR - https://doi.org/10.2991/jsta.2015.14.1.3 DO - 10.2991/jsta.2015.14.1.3 ID - Jiménez2015 ER -