删失数据下医药费用的经验似然估计

周勇, 田军

数学学报 ›› 2013, Vol. 56 ›› Issue (6) : 817-828.

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数学学报 ›› 2013, Vol. 56 ›› Issue (6) : 817-828. DOI: 10.12386/A2013sxxb0080
论文

删失数据下医药费用的经验似然估计

    周勇1,2, 田军3
作者信息 +

Empirical Likelihood Estimator of Medical Costs with Censored Data

    Yong ZHOU1,2, Jun TIAN3
Author information +
文章历史 +

摘要

生存时间数据删失问题是医药费用统计推断的一大难点,本文针对可以获得费用历史信息的情形,提出了在删失数据下医药费用的经验似然估计方法,给出在一定置信水平下感兴趣参数的置信区间. 通过模拟,比较了在不同样本量下本文提出的方法与已有方法的表现,结果是我们的方法得到的置信区间更短, 估计效果更好.同时,我们也针对一项心脏病实验的实际数据进行了相关分析和比较,得到满意的结果.

Abstract

The statistical analysis and inference of medical cost is often challenged by the fact that the survival times are censored. In this paper, we consider the case that medical cost history is available. An empirical likelihood procedure is proposed for making statistical inference on the mean cost when censoring is present, then we can easily get the confidence intervals for the parameters of interest at a given confidence level. In the simulation sdudies, we use different sample sizes to compare the finite sample performances of our procedure with some popular procedures in the literatures. We show that our procedure gives better confidential intervals for the mean of medical cost. The proposed procedure is also applied to a real dataset collected in a cardiology trial.

关键词

医药费用 / 删失数据 / 经验似然 / 区间估计

Key words

medical cost / censored data / empirical likelihood / confidence interval

引用本文

导出引用
周勇, 田军. 删失数据下医药费用的经验似然估计. 数学学报, 2013, 56(6): 817-828 https://doi.org/10.12386/A2013sxxb0080
Yong ZHOU, Jun TIAN. Empirical Likelihood Estimator of Medical Costs with Censored Data. Acta Mathematica Sinica, Chinese Series, 2013, 56(6): 817-828 https://doi.org/10.12386/A2013sxxb0080

参考文献

[1] Bang H., Tsiatis A. A., Estimating medical costs with censored data, Biometrika, 2000, 87(2): 329-343.

[2] Chen S. X., Empirical likelihood confidence intervals for linear regression coefficients, Journal of Multivariate Analysis, 1994, 49(1): 24-40.

[3] Gill R. D., Censoring and stochastic integrals, Statistica Neerlandica, 1980, 34(2): 1467-9574.

[4] Hall P., La-Scala B., Methodology and algorithms of empirical likelihood, International Statistical Review/Revue Internationale de Statistique, 1990, 58(2): 109-127.

[5] Liang K. Y., Zeger S. L., Longitudinal data analysis using generalized linear models, Biometrika, 1986, 73(1): 13-22.

[6] Lin D. Y., Feuer E. J., Etzioni R., Wax Y., Estimating medical costs from incomplete follow-up data, Biometrics, 1997, 53(2): 419-434.

[7] Owen A. B., Empirical Likelihood, Chapman & Hall/CRC, Boca Raton, Fla., 2001.

[8] Owen A., Empirical likelihood ratio confidence regions, The Annals of Statistics, 1997, 18(1): 90-120.

[9] Owen A. B., Empirical likelihood ratio confidence intervals for a single functional, Biometrika, 1997, 75(2): 237-249.

[10] Qin J., Lawless J., Empirical likelihood and general estimating equations, The Annals of Statistics, 1994, 22(1): 300-325.

[11] Qin J., Semi-empirical likelihood ratio confidence intervals for the difference of two sample means, Annals of the Institute of Statistical Mathematics, 1994, 46(1): 117-126.

[12] Rao J. N. K., Thomas D. R., The analysis of cross-classified categorical data from complex sample surveys, Sociological Methodology, 1988, 18(1): 213-269.

[13] Robins J., Rotnitzky A., Recovery of information and adjustment for dependent censoring using surrogate markers, Aids Epidemiology, Methodological Issues, 1992, 18(1): 297-331.

[14] Zhou M., Asymptotic normality of the synthetic data regression estimator for censored survival data, The Annals of Statistics, 1992, 20(2): 1002-1021.

基金

国家杰出青年基金(70825004)及国家自然科学基金(10731010);国家重点基础研究发展计划(2007CB814902)及国家创新研究群体科学基金(10721101);上海财经大学211项目Ⅲ期及上海市重点学科建设项目(B803)

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