Mac’Oduol, B.V. (Brenda)Van Staden, Paul JacobusKing, Robert A.R.2019-12-032020Brenda V. Mac’Oduol, Paul J. van Staden & Robert A. R. King (2020): Asymmetric generalizations of symmetric univariate probability distributions obtained through quantile splicing, Communications in Statistics - Theory and Methods 49(18): 4413-4429, DOI: 10.1080/03610926.2019.1601219.0361-0926 (print)1532-415X (online)10.1080/03610926.2019.1601219http://hdl.handle.net/2263/72469Balakrishnan 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.en© 2019 Taylor & Francis Group, LLC. This is an electronic version of an article published in Communications in Statistics Theory and Methods , vol. 19, no. 18, pp. 4413-4429, 2020. doi : 10.1080/03610926.2019.1601219. Communications in Statistics Theory and Methods is available online at : http://www.tandfonline.comloi/lsta20.Cumulative distribution function (CDF)Two-pieceHalf distributionsQuantile functionsL-momentsAsymmetric generalizationSymmetric univariate probability distributionQuantile splicingPostprint Article