Abstract

The classical finite mixture model is an effective tool to describe the lifetimes of the items existing in a random sample which are selected from some heterogeneous populations. This paper carries out stochastic comparisons between two classical finite mixture models in the sense of the usual stochastic order, when the subpopulations follow a wide class of distributions including the scale model, the proportional hazard rate model and the proportional reversed hazard rate model. Next, we consider the hazard rate and dispersive orders when the subpopulations follow the proportional hazard rate model and also the reversed hazard rate order in the case that the subpopulations follow the proportional reversed hazard rate model. Finally, the likelihood ratio order between two finite mixtures is characterized when the subpopulations belong to the transmuted-G model.

摘要

经典的有限混合模型是描述从一些异质群体中选择的随机样本中存在的项目寿命的有效工具。本文在通常的随机顺序意义上对两个经典有限混合模型进行随机比较，当子群体遵循包括尺度模型、比例风险率模型和比例反向风险率模型在内的广泛分布时。接下来，我们考虑当亚群遵循比例风险率模型时的风险率和离散顺序，以及在亚群遵循比例反向风险率模型的情况下的反向风险率顺序。最后，