Kurtosis of the logistic-exponential survival distribution

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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