We are excited to announce that the repository will soon undergo an upgrade, featuring a new look and feel along with several enhanced features to improve your experience. Please be on the lookout for further updates and announcements regarding the launch date. We appreciate your support and look forward to unveiling the improved platform soon.
dc.contributor.author | Mac’Oduol, B.V. (Brenda)![]() |
|
dc.contributor.author | Van Staden, Paul Jacobus![]() |
|
dc.contributor.author | King, Robert A.R.![]() |
|
dc.date.accessioned | 2019-12-03T06:36:50Z | |
dc.date.issued | 2020 | |
dc.description.abstract | 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. | en_ZA |
dc.description.department | Statistics | en_ZA |
dc.description.embargo | 2020-04-26 | |
dc.description.librarian | hj2019 | en_ZA |
dc.description.uri | http://www.tandfonline.com/loi/lsta20 | en_ZA |
dc.identifier.citation | Brenda 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. | en_ZA |
dc.identifier.issn | 0361-0926 (print) | |
dc.identifier.issn | 1532-415X (online) | |
dc.identifier.other | 10.1080/03610926.2019.1601219 | |
dc.identifier.uri | http://hdl.handle.net/2263/72469 | |
dc.language.iso | en | en_ZA |
dc.publisher | Taylor and Francis | en_ZA |
dc.rights | © 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. | en_ZA |
dc.subject | Cumulative distribution function (CDF) | en_ZA |
dc.subject | Two-piece | en_ZA |
dc.subject | Half distributions | en_ZA |
dc.subject | Quantile functions | en_ZA |
dc.subject | L-moments | en_ZA |
dc.subject | Asymmetric generalization | en_ZA |
dc.subject | Symmetric univariate probability distribution | en_ZA |
dc.subject | Quantile splicing | en_ZA |
dc.title | Asymmetric generalizations of symmetric univariate probability distributions obtained through quantile splicing | en_ZA |
dc.type | Postprint Article | en_ZA |