- Title
- Kurtosis of the logistic-exponential survival distribution
- Creator
- van Staden, Paul J.; King, Robert A. R.
- Relation
- Communications in Statistics: Theory and Methods Vol. 45, Issue 23, p. 6891-6899
- Publisher Link
- http://dx.doi.org/10.1080/03610926.2014.972566
- Publisher
- Taylor & Francis
- Resource Type
- journal article
- Date
- 2016
- Description
- 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.
- Subject
- L-moments; quantile function; ratio-of-spread functions; skewness-invariant measure of kurtosis; spread–spread plot
- Identifier
- http://hdl.handle.net/1959.13/1324101
- Identifier
- uon:24959
- Identifier
- ISSN:0361-0926
- Language
- eng
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