A heteroscedastic regression based on the odd log-logistic Marshall–Olkin normal (OLLMON) distribution is defined by extending previous models. Some structural properties of this distribution are presented. The estimation of the parameters is addressed by maximum likelihood. For different parameter settings, sample sizes and some scenarios, various simulations investigate the performance of the heteroscedastic OLLMON regression. We use residual analysis to detect influential observations and to check the model assumptions. The new regression explains the mass loss of different wood species in civil construction in Brazil.

中文翻译：

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巴西土木建筑木材质量损失的新异方差回归分析

基于奇数对数逻辑 Marshall-Olkin 正态 (OLLMON) 分布的异方差回归是通过扩展先前的模型来定义的。介绍了这种分布的一些结构特性。参数的估计是通过最大似然来解决的。对于不同的参数设置、样本大小和某些场景，各种模拟研究了异方差 OLLMON 回归的性能。我们使用残差分析来检测有影响的观察结果并检查模型假设。新的回归解释了巴西土木建筑中不同木材种类的质量损失。