Kurtosis of the Topp - Leone distributions
by Samuel Kotz and Edith Seier .
When new probability distributions are defined, the insight we get about their characteristics can be of use to
those wanting to use those distributions as models. In this note, the kurtosis of the Topp - Leone
(T-L) family of distributions is explored by means of the spread-spread function. The T-L family with parameter b
is compared , in terms of kurtosis, with the left triangular distribution that originated it.
Based on the second derivative of the spread-spread function, three intervals of values of the parameter b are
identified in which the kurtosis has a different behavior.
Triangular distribution, Spread function, Spread-spread plots, Convexity
Samuel Kotz, firstname.lastname@example.org
Edith Seier, email@example.com
N. Rao Chaganty, firstname.lastname@example.org
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