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.
Arezoomand,F , Yarmohammadi,M and Mahmoudvand,R . (2022). Asymmetric Uniform-Laplace Distribution: Properties and Applications. Journal of the Iranian Statistical Society, 17(2), 119-140. doi: 10.29252/jirss.17.2.6
MLA
Arezoomand,F , , Yarmohammadi,M , and Mahmoudvand,R . "Asymmetric Uniform-Laplace Distribution: Properties and Applications", Journal of the Iranian Statistical Society, 17, 2, 2022, 119-140. doi: 10.29252/jirss.17.2.6
HARVARD
Arezoomand F, Yarmohammadi M, Mahmoudvand R. (2022). 'Asymmetric Uniform-Laplace Distribution: Properties and Applications', Journal of the Iranian Statistical Society, 17(2), pp. 119-140. doi: 10.29252/jirss.17.2.6
CHICAGO
F Arezoomand, M Yarmohammadi and R Mahmoudvand, "Asymmetric Uniform-Laplace Distribution: Properties and Applications," Journal of the Iranian Statistical Society, 17 2 (2022): 119-140, doi: 10.29252/jirss.17.2.6
VANCOUVER
Arezoomand F, Yarmohammadi M, Mahmoudvand R. Asymmetric Uniform-Laplace Distribution: Properties and Applications. JIRSS. 2022;17(2):119-140. doi: 10.29252/jirss.17.2.6
Journal of the Iranian Statistical Society