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复发标记变量与复发生存时间联合分布的非参数推断

Nonparametric inference for the joint distribution of recurrent marked variables and recurrent survival time.

作者信息

Yee Laura M, Chan Kwun Chuen Gary

机构信息

Center for Devices and Radiological Health, U.S. Food and Drug Administration, 10903 New Hampshire Ave, Silver Spring, MD, 20993, USA.

Department of Biostatistics, University of Washington, Campus Box 357232, Seattle, WA, 98195-7232, USA.

出版信息

Lifetime Data Anal. 2017 Apr;23(2):207-222. doi: 10.1007/s10985-015-9347-7. Epub 2015 Sep 30.

DOI:10.1007/s10985-015-9347-7
PMID:26423302
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC5960592/
Abstract

Time between recurrent medical events may be correlated with the cost incurred at each event. As a result, it may be of interest to describe the relationship between recurrent events and recurrent medical costs by estimating a joint distribution. In this paper, we propose a nonparametric estimator for the joint distribution of recurrent events and recurrent medical costs in right-censored data. We also derive the asymptotic variance of our estimator, a test for equality of recurrent marker distributions, and present simulation studies to demonstrate the performance of our point and variance estimators. Our estimator is shown to perform well for a wide range of levels of correlation, demonstrating that our estimators can be employed in a variety of situations when the correlation structure may be unknown in advance. We apply our methods to hospitalization events and their corresponding costs in the second Multicenter Automatic Defibrillator Implantation Trial (MADIT-II), which was a randomized clinical trial studying the effect of implantable cardioverter-defibrillators in preventing ventricular arrhythmia.

摘要

复发性医疗事件之间的时间间隔可能与每次事件产生的费用相关。因此,通过估计联合分布来描述复发性事件与复发性医疗费用之间的关系可能会很有意义。在本文中,我们针对右删失数据中复发性事件和复发性医疗费用的联合分布提出了一种非参数估计方法。我们还推导了估计量的渐近方差、复发性标记分布相等性的检验方法,并进行了模拟研究以展示我们的点估计量和方差估计量的性能。结果表明,我们的估计量在广泛的相关水平范围内表现良好,这表明当相关结构可能事先未知时,我们的估计量可用于多种情况。我们将我们的方法应用于第二次多中心自动除颤器植入试验(MADIT-II)中的住院事件及其相应费用,该试验是一项研究植入式心脏复律除颤器预防室性心律失常效果的随机临床试验。

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Nonparametric inference for the joint distribution of recurrent marked variables and recurrent survival time.复发标记变量与复发生存时间联合分布的非参数推断
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本文引用的文献

1
Nonparametric Estimation of a Recurrent Survival Function.复发生存函数的非参数估计
J Am Stat Assoc. 1999 Mar 1;94(445):146-153. doi: 10.1080/01621459.1999.10473831.
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BACKWARD ESTIMATION OF STOCHASTIC PROCESSES WITH FAILURE EVENTS AS TIME ORIGINS.以失效事件为时间原点的随机过程的反向估计。
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Analysis of recurrent gap time data using the weighted risk-set method and the modified within-cluster resampling method.使用加权风险集方法和改进的聚类内重采样方法分析复发间隔时间数据。
Stat Med. 2011 Feb 20;30(4):301-11. doi: 10.1002/sim.4074.
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Cost analysis with censored data.含截尾数据的成本分析。
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Analysis of longitudinal data in the presence of informative observational times and a dependent terminal event, with application to medical cost data.存在信息性观察时间和相依终末事件时纵向数据的分析及其在医疗费用数据中的应用
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6
The cost effectiveness of implantable cardioverter-defibrillators: results from the Multicenter Automatic Defibrillator Implantation Trial (MADIT)-II.植入式心脏复律除颤器的成本效益:多中心自动除颤器植入试验(MADIT-II)的结果。
J Am Coll Cardiol. 2006 Jun 6;47(11):2310-8. doi: 10.1016/j.jacc.2006.03.032. Epub 2006 May 4.
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Nonparametric estimation of the bivariate recurrence time distribution.二元复发时间分布的非参数估计。
Biometrics. 2005 Jun;61(2):392-402. doi: 10.1111/j.1541-0420.2005.00328.x.
8
Prophylactic implantation of a defibrillator in patients with myocardial infarction and reduced ejection fraction.对心肌梗死且射血分数降低的患者进行预防性植入除颤器。
N Engl J Med. 2002 Mar 21;346(12):877-83. doi: 10.1056/NEJMoa013474. Epub 2002 Mar 19.
9
Nonparametric and semiparametric trend analysis for stratified recurrence times.分层复发时间的非参数和半参数趋势分析。
Biometrics. 2000 Sep;56(3):789-94. doi: 10.1111/j.0006-341x.2000.00789.x.
10
Proportional means regression for censored medical costs.
Biometrics. 2000 Sep;56(3):775-8. doi: 10.1111/j.0006-341x.2000.00775.x.