Asymmetric Uniform-Laplace Distribution: Properties and Applications
Authors
Abstract:
‎The goal of this study is to introduce an Asymmetric Uniform-Laplace (AUL) distribution‎. ‎We present a detailed theoretical description of this distribution‎. ‎We try to estimate the parameters of AUL distribution using the maximum likelihood method‎. ‎Since the likelihood approach results in complicated forms‎, ‎we suggest a bootstrap-based approach for estimating the parameters‎. ‎The proposed method is mainly based on the shape of the empirical density‎. ‎We conduct a simulation study to assess the performance of the proposed procedure‎. ‎We also fit the AUL distribution to real data sets‎: ‎daily working time and Pontius data sets‎. ‎The results show that AUL distribution is a more appropriate choice than the Skew-Normal‎, ‎Skew t‎, ‎Asymmetric Laplace and Uniform-Normal distributions.
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Journal title
volume 17 issue None
pages 119- 140
publication date 2018-12
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