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首页> 外文期刊>International Journal of Statistics and Probability >A Review of the Methodologies Used in the Derivation of Formulas for Parametric Survival Functions with Illustrative Numerical Examples
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A Review of the Methodologies Used in the Derivation of Formulas for Parametric Survival Functions with Illustrative Numerical Examples

机译：具有说明性数值例子的参数生存函数衍生公式衍生方法的综述

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In this review paper formulas for survival functions are derived that take into account risks of deaths in early life including infancy, mid life, a random component of deaths due to accidents and deaths in older ages. The basic ideas used in the derivation of survival function for each of the components just mentioned are risk functions. Given a formula for a risk function, it is possible to derive a formula for the corresponding survival function. By using the theory of competing risks, a formula for survival function that takes into account the risks of deaths in various stages of life expressed as a product of survival functions for the risks of deaths under consideration. For many applications information on the numerical values of parameters in survival functions is not available. Consequently, rationales are developed for assigning plausible values to parameters that take into account personal ideas of an investigator may have for each stage of life. For every assignment of parameter values in the paper, a numerical version of survival functions are plotted in graphs so that an assessment of the plausibility of the chosen parameter values may be made. Also included in the paper is an application of survival functions in an experiment to make an assessment as to whether a small population of chimpanzees, or some other endangered species of animals, will have descendants that make up a surviving population 200 years into the future.
机译：在本综述中，筛选纸质公式，以考虑到早期生命中死亡的风险，包括婴儿期，中年生命，由于年龄较大的事故和死亡而导致的事故和死亡。刚才提到的每个组件的生存函数中使用的基本思路是风险功能。给定风险函数的公式，可以推导出相应的生存函数的公式。通过使用竞争风险的理论，对生存功能的竞争功能的公式考虑到各种阶段的死亡风险表达为正在考虑的死亡风险的生存职能的产物。对于许多应用程序信息，有关生存功能中参数的数值的信息不可用。因此，制定了理由，用于将合理的值分配给考虑到调查员的个人思想的参数可能对每个阶段都有。对于纸张中的参数值的每个分配，在图中绘制了生存函数的数值版本，以便可以进行所选择的参数值的合理性的评估。本文还包括在实验中的生存功能在实验中进行评估，以评估是否有小的黑猩猩，或其他一些濒危动物物种，将有一个后代，将营业人口营业到200年的未来。

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