Kurtosis of the logistic-exponential survival distribution
| dc.contributor.author | Van Staden, Paul Jacobus | |
| dc.contributor.author | King, Robert A.R. | |
| dc.contributor.email | paul.vanstaden@up.ac.za | en_ZA |
| 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 |