Different χ<SUP>2</SUP> Forms for Correlated Data and Their Properties

MO Xiao-Hu; ZHU Yong-Sheng

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《中国物理C》（英文）编辑部

2024年10月30日

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

Different χ² Forms 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

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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

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. 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

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MO Xiao-Hu and ZHU Yong-Sheng. Different χ² Forms for Correlated Data and Their Properties[J]. Chinese Physics C, 2003, 27(9): 747-753.

MO Xiao-Hu and ZHU Yong-Sheng. Different χ² Forms for Correlated Data and Their Properties[J]. Chinese Physics C, 2003, 27(9): 747-753. shu

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

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沈阳化工大学材料科学与工程学院沈阳 110142

Different χ² Forms 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.