区间截尾二项数据的特征估计及其应用

B. H. S. Utami, Dwi Herinanto, M. Gumanti
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引用次数: 0

摘要

本研究旨在确定具有特殊分布的区间截尾数据的估计,即二项分布。本研究采用定量方法,主要步骤是利用极大似然估计方法对区间截尾二项分布进行参数估计。第二步给出了区间截后二项分布估计量的性质。最后是确定生存分析中二项分布中间隔截尾数据的参数估计,并提供一个包含间隔截尾观测的研究示例,然后将其用作案例研究。结果表明,该估计量是一个充分统计量,即无偏。本案例研究使用了94例乳腺癌患者研究的间隔审查数据,以观察两种治疗中哪一组的生存时间更长(生存值),即单独放疗的患者和放疗后辅助化疗的患者。
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Characteristic Estimator of Interval-Censored Binomial Data and Its Application
This study aims to determine the estimation of interval-censored data with a special distribution, namely the binomial distribution. This research is using quantitative methods, the steps are estimating parameters on the interval-censored binomial distribution using the Maximum Likelihood Estimation method. The second step shows the properties of the estimator on the interval-censored binomial distribution. The last is to determine the parameter estimation of interval-censored data from the binomial distribution in survival analysis and provide an example of research containing interval-censored observations which will then be used as a case study. The results showed that the estimator is a sufficient statistic, meaning that it is unbiased. The case study was conducted using interval-censored data regarding the study of ninety-four breast cancer patients to see which group survived longer (survival value) of the two treatments, namely patients who underwent radiotherapy alone and patients who underwent radiotherapy followed by adjuvant chemotherapy.
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