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A flexible parametric survival model which allows a bathtub-shaped hazard rate function

机译:灵活的参数生存模型,可实现浴缸状的危险率功能

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摘要

A new parametric (three-parameter) survival distribution, the lognormal-power function distribution, with flexible behaviour is introduced. Its hazard rate function can be either unimodal, monotonically decreasing or can exhibit a bathtub shape. Special cases include the lognormal distribution and the power function distribution, with finite support. Regions of parameter space where the various forms of the hazard-rate function prevail are established analytically. The distribution lends itself readily to accelerated life regression modelling. Applications to five data sets taken from the literature are given. Also it is shown how the distribution can behave like a Weibull distribution (with negative aging) for certain parameter values.
机译:介绍了一种新的具有灵活行为的参数(三参数)生存分布,即对数正态幂函数分布。它的危险率函数可以是单峰的,单调递减的,也可以呈现出浴缸的形状。特殊情况包括对数正态分布和幂函数分布以及有限支持。通过分析确定各种危险率函数形式占优势的参数空间区域。该分布很容易加速寿命回归建模。给出了从文献中获得的五个数据集的应用。还显示了对于某些参数值,分布如何表现得像威布尔分布(具有负老化)。

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