Kurtosis of the logistic-exponential survival distribution

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.

Show simple item record

dc.contributor.author Van Staden, Paul Jacobus
dc.contributor.author King, Robert A.R.
dc.date.accessioned 2016-10-12T09:27:12Z
dc.date.issued 2016-01
dc.description.abstract In this article, the kurtosis of the logistic-exponential distribution is analyzed. All the moments of this survival distribution are finite, but do not possess closed-form expressions. The standardized fourth central moment, known as Pearson’s coefficient of kurtosis and often used to describe the kurtosis of a distribution, can thus also not be expressed in closed form for the logistic-exponential distribution. Alternative kurtosis measures are therefore considered, specifically quantile-based measures and the L-kurtosis ratio. It is shown that these kurtosis measures of the logistic-exponential distribution are invariant to the values of the distribution’s single shape parameter and hence skewness invariant. en_ZA
dc.description.department Statistics en_ZA
dc.description.embargo 2017-01-31
dc.description.librarian hb2016 en_ZA
dc.description.sponsorship The first author is grateful for financial support received from the Department of Statistics, STATOMET and the Vice-Chancellor s Academic Development Grant at the University of Pretoria. en_ZA
dc.description.uri http://www.tandfonline.com/loi/lsta20 en_ZA
dc.identifier.citation Paul J. van Staden & Robert A. R. King (2016) Kurtosis of the logisticexponential survival distribution, Communications in Statistics - Theory and Methods, 45:23,6891-6899, DOI: 10.1080/03610926.2014.972566. en_ZA
dc.identifier.issn 0361-0926 (print)
dc.identifier.issn 1532-415X (online)
dc.identifier.other 10.1080/03610926.2014.972566
dc.identifier.uri http://hdl.handle.net/2263/57115
dc.language.iso en en_ZA
dc.publisher Taylor and Francis en_ZA
dc.rights © Taylor and Francis. This is an electronic version of an article published in Communications in Statistics Theory and Methods, vol. 45, no. 23, pp. 6891-6899, 2016. doi : 10.1080/03610926.2014.972566. Communications in Statistics - Theory and Methods is available online at : http://www.tandfonline.comloi/lsta20. en_ZA
dc.subject L-moments en_ZA
dc.subject Quantile function en_ZA
dc.subject Ratio-of-spread functions en_ZA
dc.subject Skewness-invariant measure of kurtosis en_ZA
dc.subject Spread-spread plot en_ZA
dc.title Kurtosis of the logistic-exponential survival distribution en_ZA
dc.type Postprint Article en_ZA


Files in this item

This item appears in the following Collection(s)

Show simple item record