The Slash Lindley-Weibull Distribution
In this paper, a new class of slash distribution is introduced. The distribution is obtained as a quotient of two independent random variables, specifically, a Lindley-Weibull distribution divided by a power of a uniform distribution. The new model can be considered as an extension of the Lindley-Weibull law more flexible in terms of the kurtosis of the distribution. Some statistical properties are studied and the parameter estimation problem is carried out by the maximum likelihood method. The performance of this method is assessed via a Monte Carlo simulation study. A real data application illustrates the usefulness of the proposed distribution to model data with excess kurtosis.
KeywordsLindley-Weibull distribution Kurtosis Maximum likelihood
Mathematics Subject Classification (2010)60E05 62F10
Unable to display preview. Download preview PDF.
The research of J. Reyes and H.W. Gómez has been partially funded by grant SEMILLERO UA-2016.
- Cakmakyapan S, Ozel G (2015) The Lindley family of distributions: Properties and applications, Hacettepe Journal of Mathematics and Statistics. https://doi.org/10.15672/HJMS.201611615850
- Paris RB (2010) Incomplete gamma and related functions. In: Olver FWF, Lozier DW, Boisvert RF, Clark CW (eds) NIST Handbook of mathematical functions, national institute of standards and technology. Cambridge University Press, Cambridge, pp 173–192Google Scholar
- Shaw W, Buckley I (2007) The alchemy of probability distributions: beyond Gram-Charlier expansions, and a skew-kurtotic-normal distribution from a rank transmutation map. IMA, Primera Conferencia sobre Finanzas Computacionales, Cornell University, arXiv:0901.0434