[1]胡玉萍,王霞,李学相..污染数据回归分析参数的区间估计[J].郑州大学学报(工学版),2003,24(04):99-101.[doi:10.3969/j.issn.1671-6833.2003.04.024]
　HU Yuping,WANG Xia,Lee Xue-sang.Interval estimation of regression analysis parameters for contamination data[J].Journal of Zhengzhou University (Engineering Science),2003,24(04):99-101.[doi:10.3969/j.issn.1671-6833.2003.04.024]

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污染数据回归分析参数的区间估计()

分享到：

《郑州大学学报(工学版)》[ISSN:1671-6833/CN:41-1339/T]

卷:

24卷

期数:

2003年04期

页码:

99-101

栏目:

出版日期:

1900-01-01

文章信息/Info

Title:

Interval estimation of regression analysis parameters for contamination data

作者:

胡玉萍; 王霞; 李学相.

郑州大学系统科学与数学系,河南,郑州,450052, 郑州轻工业学院信息与计算科学系,河南,郑州,450002, 郑州大学工程力学系,河南,郑州,450002

Author(s):

HU Yuping; WANG Xia; Lee Xue-sang

关键词:

截断数据;  污染数据;  区间估计

Keywords:

truncation of data;  pollution data;  Interval estimation

DOI:

10.3969/j.issn.1671-6833.2003.04.024

文献标志码:

A

摘要:

截断数据是生存分析的重要研究内容,而关于污染数据的分析在近几年也越来越受到人们的重视.研究简单回归模型:X(0)i=γ+βμi+εi,i=1,2,…,n其中,Eεi=0,Eε2i=σ21;但X(0)1,X(0)2,…,X(0)n受到另一独立同分布随机变量序列W1,W2,…,Wn的污染,Wi与X(0)i独立,仅能观察到污染数据Xi=(1-α)X(0)i+αWi,i=1,2,…,n.给出回归参数γ,β的区间估计.

Abstract:

Truncated data is an important research content of survival analysis, and the analysis of pollution data has received more and more attention in recent years. Study the simple regression model: X(0)i=γ+βμi+εi, i=1,2,...,n, where Eεi=0, Eε2i=σ21; However, X(0)1,X(0)2,...,X(0)n is polluted by another independent sequence of uniformly distributed random variables W1,W2,...,Wn, Wi is independent of X(0)i, and only the pollution data Xi=(1-α)X(0)i+αWi,i=1,2,...,n. gives the interval estimation of the regression parameter γ and β.

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