Arezoomand, Fatemeh; Yarmohammadi, Masoud; Mahmoudvand, Rahim Asymmetric uniform-Laplace distribution: properties and applications. (English) Zbl 1412.62024 J. Iran. Stat. Soc. JIRSS 17, No. 2, 119-140 (2018). Summary: 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. MSC: 62E15 Exact distribution theory in statistics 62E10 Characterization and structure theory of statistical distributions Keywords:estimation; fitting; uniform-Laplace distribution PDFBibTeX XMLCite \textit{F. Arezoomand} et al., J. Iran. Stat. Soc. JIRSS 17, No. 2, 119--140 (2018; Zbl 1412.62024) Full Text: DOI Link