Chinese Physics C > 2003, Vol. 27 > Issue(9): 747-753

Different χ²Forms for Correlated Data and Their Properties

MO Xiao-Hu^,,
ZHU Yong-Sheng

Institute of High Energy Physics, CAS, Beijing 100039, China2 China Center of Advanced Science and Technology, Beijing 100080, China

Abstract
HTML
Reference
Related

PDF

Abstract：
The properties of four factorized chi-square forms, which are used in minimization of correlated data, are studied, including their biasness and unbiasedness. The simplified R-value measurement are quoted to test the conclusion quantitatively.

References

[1]

. D’Agostini G .Nucl.Instr.Meth.,1994,A346:306—3112. Takeuchi T .Prog.Thero.Phys.Suppl.,1996,123:247—2643. MO X H ,ZHU Y S .HEP NP ,2003,27(5):371—376(in Chinese)(莫晓虎,朱永生.高能物理与核物理,2003,27(5):371—376) 4. TASSO Collab.,Brandelik R et al.Phys.Lett.,1982,B113:499—508;TASSO Collab.,Brandelik R et al.Z .Phys.,1980,C4:87—935. JADE Collab.,W .Bartel et al.Phys.Lett.,1983,B129:145—1526. MO X H ,ZHU Y S ,HEP NP 2001,19(12):1133—1139(in Chinese)(莫晓虎,朱永生.高能物理与核物理,2001,19(12):1133—1139)7. BAI J Z et al.Phys.Rev.Lett.,2000,84:594—5978. BAI J Z et al.Phys.Rev.Lett.,2002,88:1018029. SiegristJLetal.Phys.Rev.,1982,D26:969—990 10. CERN Library.MINUIT Reference Manual,version92.1(March1992)11. MO X H ,ZHU Y S .HEP NP ,2003,27(6):474—478(in Chinese)(莫晓虎,朱永生.高能物理与核物理,2003,27(6):474—478

[1]	null,,,,,. Numerical simulation and experimental study of PbWO₄/EPDM and Bi₂WO₆/EPDM for the shielding of γ-rays. Chinese Physics C, 2016, 40(8): 089001.doi:10.1088/1674-1137/40/8/089001
[2]	PAN Xue,CHEN Li-Zhu,CHEN Xiao-Song,WU Yuan-Fang. Cumulants in the 3-dimensional Ising,O(2) andO(4) spin models. Chinese Physics C, 2013, 37(12): 124103.doi:10.1088/1674-1137/37/12/124103
[3]	ZHOU Jing,FU Yuan-Yong,ZHOU Shu-Hua,XIA Hai-Hong,LI Cheng-Bo,MENG Qiu-Ying. Measurement of the astrophysical S factor for the low energy²H(d,γ)⁴He reaction. Chinese Physics C, 2009, 33(5): 350-353.doi:10.1088/1674-1137/33/5/006
[4]	N.Borghini. Using the Anisotropic-Flow Harmonics v₂and v₄to Test Dynamical Descriptions of Ultrarelativistic Heavy-Ion Collisions. Chinese Physics C, 2007, 31(12): 1153-1156.
[5]	A.G.Drentje,M.Muramatsu,A.Kitagawa. Best C⁴⁺and C⁵⁺Beams of the Kei2 ECR Ion Source. Chinese Physics C, 2007, 31(S1): 94-96.
[6]	MO Xiao-Hu. Unbiased χ²Estimator for Linear Function Fit Involving Correlated Data. Chinese Physics C, 2007, 31(8): 745-749.
[7]	MA Yin-Qun,TIAN Yuan,MA Zhong-Yu. Theoretical Study of $\bf ^2H(d,\bm\upgamma)^4He$ at Low Energies. Chinese Physics C, 2006, 30(12): 1242-1245.
[8]	MO Xiao-Hu. Further Corroboration of Equivalence of Two χ²Forms. Chinese Physics C, 2006, 30(2): 140-146.
[9]	FU Cheng-Dong,MO Xiao-Hu,ZHANG Jia-Wen,ZHU Yong-Sheng,YUAN Chang-Zheng,DONG Xin,DONG Liao-Yuan. Fast Reconstruction of ψ(2S) Data and Corresponding Quality Supervision. Chinese Physics C, 2003, 27(8): 653-658.
[10]	MO Xiao-Hu,ZHU Yong-Sheng. Correlated Data Fitting and Error Analysis in ψ(2S) Scan Experiment. Chinese Physics C, 2003, 27(6): 474-478.
[11]	MO Xiao-Hu,ZHU Yong-Sheng. Equivalence of Two χ²Forms. Chinese Physics C, 2003, 27(5): 371-376.
[12]	Li Panlin,Deng Chengfeng,Wang Lilian,Xu Mengjie. Calculation of the Productive Dilepton Spectrum (M≤4GeV/c²) in²³⁸U+²³⁸U Collisions at E_c,m≈200GeV/u. Chinese Physics C, 1999, 23(7): 693-700.
[13]	Chen Qizhou,Li Zhibing,Li Lei,Guo Shuohong. Infrared Vacuum Wavefunction of (2+1)-Dimensional SU(2) Gauge Field. Chinese Physics C, 1994, 18(1): 37-42.
[14]	Ni Zhixiang,Ma Tao. The Quantum Cosmology of 4+2D Dimensional Einstein Maxwell Theory. Chinese Physics C, 1994, 18(10): 911-918.
[15]	BES Collaboration. Experimental Study of Resonance f₂(1270) in the J/ψ Hadronic Decay. Chinese Physics C, 1993, 17(2): 97-106.
[16]	GAO Xiao-Chun,WANG Yong. THE STUDY OF A SOLITON SOLUTION IN THE SKYRME MODEL WITH B=2. Chinese Physics C, 1988, 12(3): 341-350.
[17]	WU DAN-DI,LI TIE-ZHONG. HIGGS MIXING AND PROTON DECAY IN THE UNIFIED GAUGE MODELSU(4)_C×SU(2)_L×SU(2)_R. Chinese Physics C, 1983, 7(6): 702-708.
[18]	XU De-Zhi. ANSU(4)×SU(2)×U(1) UNIFIED MODEL. Chinese Physics C, 1983, 7(1): 13-19.
[19]	GAO YUAN-YI. TO ANALYSE THE PROPERTY SUPERBAND BY USING 2Δ. Chinese Physics C, 1981, 5(4): 508-512.
[20]	ELEMENTARY PARTICLE THEORY GROUP,DEPARTMENT OF PHYSICS,PEKING UNIVERSITY. ANSU（4）×S₃^aSCHEME OF THE STRATON MODEL. Chinese Physics C, 1978, 2(1): 1-9.

Access

Get Citation

MO Xiao-Hu and ZHU Yong-Sheng. Different χ ²Forms for Correlated Data and Their Properties[J]. Chinese Physics C, 2003, 27(9): 747-753.

MO Xiao-Hu and ZHU Yong-Sheng. Different χ ²Forms for Correlated Data and Their Properties[J]. Chinese Physics C, 2003, 27(9): 747-753. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2002-12-11
Revised: 1900-01-01

Article Metric

Article Views(4240)
PDF Downloads(569)
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

Different χ²Forms for Correlated Data and Their Properties

MO Xiao-Hu^,
ZHU Yong-Sheng

Corresponding author:MO Xiao-Hu,

Institute of High Energy Physics, CAS, Beijing 100039, China2 China Center of Advanced Science and Technology, Beijing 100080, China

Received Date:2002-12-11
Accepted Date:1900-01-01
Available Online:2003-09-05

Abstract:The properties of four factorized chi-square forms, which are used in minimization of correlated data, are studied, including their biasness and unbiasedness. The simplified R-value measurement are quoted to test the conclusion quantitatively.