[1]胡玉萍..截断情形下污染系数的估计[J].郑州大学学报(工学版),2004,25(03):102-104.[doi:10.3969/j.issn.1671-6833.2004.03.025]
　HU Yuping..Estimation of contamination coefficient under truncation[J].Journal of Zhengzhou University (Engineering Science),2004,25(03):102-104.[doi:10.3969/j.issn.1671-6833.2004.03.025]

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截断情形下污染系数的估计()

分享到：

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

卷:

25

期数:

2004年03期

页码:

102-104

栏目:

出版日期:

1900-01-01

文章信息/Info

Title:

Estimation of contamination coefficient under truncation

作者:

胡玉萍.

郑州大学系统科学与数学系,河南,郑州,450052

Author(s):

HU Yuping.

关键词:

污染数据;  截断数据;  污染系数

Keywords:

pollution data;  truncation of data;  Contamination factor

DOI:

10.3969/j.issn.1671-6833.2004.03.025

文献标志码:

A

摘要:

设X1,X2,…,Xn为一列非负独立同分布的随机变量,其分布为:Fα(x)=(1-α)F1(x)+αF2(x),其中α∈[0,1],F1(x),F2(x)都是定义在R+上的分布函数,现Y1,Y2,…,Yn为非负i.i.d～G(t)的截断随机变量列,并且Xi与Yi也相互独立,在仅能观察到:Zi=min(Xi,Yi),δi=I(Xi≤Yi)(i=1,2,…,n)的情况下,给出了污染系数α的估计,并在G(t)已知的情况下证明了其相合性.

Abstract:

Let X1,X2,...,Xn be a list of non-negative independent random variables with the same distribution, and its distribution is: Fα(x)=(1-α)F1(x)+αF2(x), where α∈[0,1], F1(x),F2(x) are all distribution functions defined on R+, now Y1, Y2,..., Yn are non-negative i.i.d~G(t) truncated random variable columns, and Xi and Yi are also independent of each other, and it can only be observed that Zi=min(Xi,Yi),δi=I( In the case of Xi≤Yi)(i=1,2,...,n), an estimate of the pollution coefficient α is given, and its compatibility is proved when G(t) is known.

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