Journal of the Iranian Statistical Society
A New Modification in the Classical Laplace Distribution
Authors
1 Department of Statistics, Bu-Ali Sina University, Hamedan, Iran.
2 Modelling of Noncommunicable Diseases Research Center and Department of Biostatistics, School of Public Health, Hamadan University of Medical Sciences, Hamedan, Iran.
3 Department of Statistics, Payame Noor University, I. R., Iran.
4 prognostica GmbH, Wurzburg, Germany
Abstract
Several modifications of the Laplace distribution have been introduced and applied in various fields up to this day. In this paper, we introduce a modified symmetric version of the classical Laplace distribution. We provide a comprehensive theoretical description of this distribution. In particular, we derive the formulas for the $k$th moment, quantiles and several useful alternative representations of the distribution. We derive the maximum likelihood estimators of the parameters and investigate their properties via simulation. Finally, we analyse three real-world datasets to illustrate the usefulness of the modified classical Laplace distribution. The results suggest that further improvement to classical Laplace distribution fitting is possible and the new model provides an attractive alternative to the classical Laplace distribution.
Keywords
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Volume 14, Issue 2
December 2015Pages 93-118
- Receive Date: 23 July 2022
- Revise Date: 12 May 2024
- Accept Date: 23 July 2022