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???????Berkson??????????????
引用本文:张赛茵,吴密霞,张忠占.???????Berkson??????????????[J].应用概率统计,2012,28(1):93-104.
作者姓名:张赛茵  吴密霞  张忠占
作者单位:???????????????????
基金项目:北京市教委科技计划项目(JC006790201001);北京市自然科学基金(1102010);国家自然科学基金(10971007,10801005);北京工业大学第八届研究生科技基金(ykj-2010-3816)资助
摘    要:Berkson测量误差模型在工业、农业、流行病学、经济学 等领域有广泛的应用. 本文考虑了一类多元超结构Berkson测量误差模型, 给出了该模型中参数的相合估计, 推导了估计的渐近分布, 并把该方法应用到一元超结构Berkson测量误差模型中, 最后给出了模拟结果和实例分析来说明本文所提出的估计方法的表现.

关 键 词:渐近性质  相合估计  Berkson测量误差  多元回归

The Analysis of Multivariate Ultrastructural Berkson\Measurement Errors Model
Zhang Saiyin,Wu Mixia,Zhang Zhongzhan.The Analysis of Multivariate Ultrastructural Berkson\Measurement Errors Model[J].Chinese Journal of Applied Probability and Statisties,2012,28(1):93-104.
Authors:Zhang Saiyin  Wu Mixia  Zhang Zhongzhan
Institution:College of Applied Sciences, Beijing University; of Technology
Abstract:Berkson measurement error regression model has a wide range of applications in the areas of industry, agriculture, epidemiology, economics, and so on. This paper deals with a multivariate ultrastructural Berkson measurement error regression model, and presents consistent estimators for model parameters. The asymptotic distributions for the estimators are derived, and an application to a simple ultrastructural Berkson measurement error regression model is given. A real example and simulation results are provided for the illustration of the method proposed in this paper.
Keywords:Asymptotic property  consistent estimator  Berkson measurement error  multivariate regression
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