The modified odd Burr XII-G family is developed, capable of incorporating bimodal and bathtub shapes in its baseline distributions, with properties derived from the exponentiated-G class. A regression model is developed within this family. The parameters are estimated by maximum likelihood, and simulations are performed to verify their consistency. The usefulness of the proposals is demonstrated by means of three real data sets.
翻译:本文提出了修正的奇数Burr XII-G分布族,该分布族能够在基线分布中纳入双峰与浴盆形态,其性质源自指数化-G类分布。在此分布族内构建了回归模型,采用极大似然法进行参数估计,并通过模拟验证了估计量的一致性。通过三个实际数据集的实证分析,验证了所提方法的实用价值。