- Title
- Asymmetric generalizations of symmetric univariate probability distributions obtained through quantile splicing
- Creator
- Mac'Oduol, Brenda V.; van Staden, Paul J.; King, Robert A. R.
- Relation
- Communications in Statistics - Theory and Methods Vol. 49, Issue 18, p. 4413-4429
- Publisher Link
- http://dx.doi.org/10.1080/03610926.2019.1601219
- Publisher
- Taylor & Francis
- Resource Type
- journal article
- Date
- 2020
- Description
- Balakrishnan et al. proposed a two-piece skew logistic distribution by making use of the cumulative distribution function (CDF) of half distributions as the building block, to give rise to an asymmetric family of two-piece distributions, through the inclusion of a single shape parameter. This paper proposes the construction of asymmetric families of two-piece distributions by making use of quantile functions of symmetric distributions as building blocks. This proposition will enable the derivation of a general formula for the L-moments of two-piece distributions. Examples will be presented, where the logistic, normal, Student's t(2) and hyperbolic secant distributions are considered.
- Subject
- two-piece; half distributions; quantile functions; l-moments
- Identifier
- http://hdl.handle.net/1959.13/1426362
- Identifier
- uon:38403
- Identifier
- ISSN:0361-0926
- Rights
- This is an Accepted Manuscript of an article published by Taylor & Francis in Communications in Statistics - Theory and Methods on 26/04/2019, available online: http://dx.doi.org/10.1080/03610926.2019.1601219
- Language
- eng
- Full Text
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