Universidade Federal de Pernambuco, Departamento de Estatística, Av. Prof Luiz Freire, s/n, Cidade Universitária, 50670-901 Recife, PE, Brazil.
An Acad Bras Cienc. 2023 Jul 31;95(2):e20200841. doi: 10.1590/0001-3765202320200841. eCollection 2023.
In this paper, a new class of semi-continuous distributions called zero-adjusted log-symmetric is introduced and studied. Some properties and parameters estimation by maximum likelihood method are derived and confidence intervals (CIs) are developed. A simulation study is conducted to evaluate properties of the maximum likelihood estimators in lighter/heavier-tailed distributions. Finally, an application in a real data set is presented to illustrate the flexibility of the proposed class of distributions.
本文引入并研究了一类新的半连续分布，称为零调整对数对称分布。推导出了一些性质和最大似然法参数估计，并给出了置信区间（CI）。进行了模拟研究，以评估在更轻/更重尾分布中最大似然估计量的性质。最后，通过一个实际数据集的应用，说明了所提出的分布类的灵活性。
