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

Abstract
HTML
Reference
Related

PDF

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

[1]

. D'Agostini G. Nucl. Instrum. Methods, 1994, A346: 3062. Takeuchi T. Prog. Thero. Phys., 1996, 123(Suppl.): 2473. MO X H, ZHU Y S. HEP NP, 2003, 27: 371(in Chinese)(莫晓虎，朱永生.高能物理.与核物理, 2003, 27: 371)4. MO X H. HEP NP, 2006, 30: 140-146(in Chinese)(莫晓虎.高能物理与核物理，2006, 30: 140-146)5. MO X H, ZHU Y S. HEP NP, 2003, 27: 747(in Chinese)(莫晓虎，朱永生.高能物理与核物理，2003, 27: 747)6. Bartel W et al(JADE Collab.). Phys. Lett., 1983, B129:1457. BAI J Z et al(BES Collab.). Phys. Rev. Lett., 2000, 84:5948. BAI J Z et al(BES Collab.). Phys. Rev. Lett., 2002, 88:1018029. Siegrist J L et al. Phys. Rev., 1982, D26: 969-99010. CERN Library. MINUIT Reference Manual, version 92.1,March 1992

[1]	Bo Lan , Qin-Ze Song , Jin-Huan Sheng , Yi Qiao , Ru-Min Wang . Study of χ_cJ (J = 0,1,2) decays to light meson pairs based on SU(3) flavor symmetry/breaking analysis. Chinese Physics C, 2025, 49(12): 123106. doi: 10.1088/1674-1137/adff00
[2]	Ulaş Özdem . Unveiling the electromagnetic structure and intrinsic dynamics of spin-3/2 hidden-charm pentaquarks: A comprehensive QCD analysis. Chinese Physics C, 2025, 49(10): 103106. doi: 10.1088/1674-1137/ade95a
[3]	Manpreet Kaur , Sushil Kumar , Sukhjeet Singh , A. K. Jain . Signature splitting in three-quasineutron rotational band 3/2[521]_ν$\otimes $1/2[660]_ν$\otimes $1/2[660]_νof ¹⁵⁵Dy. Chinese Physics C, 2025, 49(10): 104103. doi: 10.1088/1674-1137/ade95e
[4]	Che-Hao Liu , Van Que Tran , Qiaoyi Wen , Fanrong Xu , Tzu-Chiang Yuan . New contributions to b → sγ in the minimal G2HDM. Chinese Physics C, 2025, 49(8): 083107. doi: 10.1088/1674-1137/add873
[5]	Yu-xin Cheng , De-hao Zhao , Yue-yang Shao , Li Gong , Tao Wang , Xiao-shen Kang . SU(3) analysis for B(E2) anomaly. Chinese Physics C, 2025, 49(10): 104105. doi: 10.1088/1674-1137/aded05
[6]	HUANG Wen-Xue , WANG Yue , ZHU Zhi-Chao , TIAN Yu-Lin , XU Hu-Shan , SUN Zhi-Yu , XIAO Guo-Qing , ZHAN Wen-Long . Experimental Study of the High-Voltage Breakdown and Simulations for the RFQ Cooler and Buncher RFQ1L. Chinese Physics C, 2006, 30(S2): 261-264.
[7]	HU Xi-Duo , SHAO Ming-Zhu , LUO Shi-Yu , LIU Yong-Sheng , ZHU De-Hai . Average Field Idea and Single Particle Model for 2 Dimension Crystallization Beams(Ⅱ). Chinese Physics C, 2004, 28(2): 196-199.
[8]	ZHOU Yong-Zhao , LIANG Hao , XUE Jun-Dong , CHEN Yi-Xin , YANG Tao , GONG Da-Tao , JIN Ge , YU Xiao-Qi . An Online Program for Monitoring KLOE Experiment. Chinese Physics C, 2002, 26(6): 620-625.
[9]	Medina Ablikim , HUANG Wei-Cheng , . New Realization of N=2 Supersymmetric QuantumMechanics and Shape Invariance. Chinese Physics C, 2002, 26(4): 338-345.
[10]	Yang Jianjun , Ma Boqiang , Li Guanglie . Non-perturbative Quark Propagator and the Study of the Non-trivial Q² Dependence in the Nucleon Structure Functions. Chinese Physics C, 1997, 21(2): 146-156.
[11]	BES Collaboration . Experimental Study of Resonance f₂(1270) in the J/ψ Hadronic Decay. Chinese Physics C, 1993, 17(2): 97-106.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(4451)
PDF Downloads(607)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
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.