Unbiased χ<SUP>2</SUP> Estimator for Linear Function Fit Involving Correlated Data

MO Xiao-Hu

Chinese Physics C> 2007, Vol. 31> Issue(8) : 745-749

Unbiased χ² Estimator for Linear Function Fit Involving Correlated Data

MO Xiao-Hu ^,

Institute of High Energy Physics, CAS, Beijing 100049, China

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Abstract：
An unbiased factorized chi-square estimator is constructed to deal with the correlated data for linear function fit. The difference between the biased and unbiased chi-square fitting is expounded. In addition, the simplified R-value measurement is quoted to test the conclusion quantitatively.

References

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MO Xiao-Hu. Unbiased χ² Estimator for Linear Function Fit Involving Correlated Data[J]. Chinese Physics C, 2007, 31(8): 745-749.

MO Xiao-Hu. Unbiased χ² Estimator for Linear Function Fit Involving Correlated Data[J]. Chinese Physics C, 2007, 31(8): 745-749. shu

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Received: 2006-10-09
Revised: 2006-11-29

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沈阳化工大学材料科学与工程学院沈阳 110142

Unbiased χ² Estimator for Linear Function Fit Involving Correlated Data

MO Xiao-Hu ^,

Corresponding author: MO Xiao-Hu,

Institute of High Energy Physics, CAS, Beijing 100049, China

Received Date: 2006-10-09
Accepted Date: 2006-11-29
Available Online: 2007-08-05

Abstract: An unbiased factorized chi-square estimator is constructed to deal with the correlated data for linear function fit. The difference between the biased and unbiased chi-square fitting is expounded. In addition, the simplified R-value measurement is quoted to test the conclusion quantitatively.