THE EFFECT OF THE PRESENCE OF CENSORSHIP: AN APPLICATION IN LIFETIME DATA OF ELECTRICAL LAMPS

Tainara Nadiny da Silva Pereira, P. Pereira
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Abstract

The Survival Analysis is the set of statistical techniques that evaluate the time until the occurrence of a certain event, even with the presence of elements that do not provide complete information about their respective times, called censored data. The objective of this work is to present the effects of the insertion of censored data in the reliability analysis of electric lamps using three non-parametric estimators, Kaplan-Meier, Nelson-Aalen and Life Table as comparative methods. The results showed that the difference between the survival function with the censored and uncensored data is more intense in the case of the presence of type I censorship. It was verified that the estimators tend to overestimate the survival with the censorship increase, independently of the Type of this, however, they maintain the same downward trend of survival over time. In the overestimation question, the estimator Nelson-Aalen showed ahead of the others.
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审查存在的影响:在电灯寿命数据中的应用
生存分析是一组统计技术,用于评估特定事件发生之前的时间,即使存在不能提供有关其各自时间的完整信息的元素,也称为审查数据。这项工作的目的是使用三种非参数估计器,Kaplan-Meier, Nelson-Aalen和生命表作为比较方法,展示在电灯可靠性分析中插入审查数据的影响。结果表明,在存在I型审查的情况下,审查和未审查数据的生存函数之间的差异更大。验证了随着审查制度的增加,估计者倾向于高估生存,与审查制度的类型无关,但随着时间的推移,它们保持着相同的生存下降趋势。在高估的问题中,估计者尼尔森-艾伦的表现领先于其他人。
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