Equivalence of Two χ<SUP>2</SUP> Forms

MO Xiao-Hu; ZHU Yong-Sheng

Chinese Physics C> 2003, Vol. 27> Issue(5) : 371-376

Equivalence of Two χ² Forms

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 equivalence of two χ² forms is proved by matrix calculation. The bias of minimization estimate is also discussed. The simplified R-value measurements are quoted to test the conclusion quantitatively.

References

[1]

. CELLO Collab.,Behrend H J et al.Phys.Lett.,1987,B182:400—4112. CERN Library,MINUIT Reference Manual version92.1(March1992) 3. TASSO Collab.,Brandelik R et al.Phys.Lett.,1982,B113:499—508;TASSO Collab.,Brandelik R et al.Z .Phys.,1980,C4:87—93 4. JADE Collab.,Bartel W et al.Phys.Lett.,1983,B129:145—152 5. D'Agostini G.Nucl.Instr.Meth.,1994,A346:306—311 6. BAI J Z et al.Phys.Rev.Lett.,2000,84:5947. BAI J Z et al.Phys.Rev.Lett.,2002,88:101802 8. Swartz M L.Phys.Rev.,1996,D53:5268—5282 9. Takeuchi T.Prog.Thero.Phys.Suppl.,1996,123:247—26410. MO X H,ZHU Y S.Different χ2 Forms for Correlated Data and Their Properties.submitted to HEP NP(莫晓虎,朱永生.关联实验数据的四种χ2形式及其性质.高能物理与核物理,待发表)11. Greub Wener.Linear Algebra.Fourth Edition.Springer Verlag New York Inc.,1981;Peking University.Advanced Algebra.Second Edi tion.Beijing:Advanced Education Publishing House,1988.(in Chinese)

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MO Xiao-Hu and ZHU Yong-Sheng. Equivalence of Two χ² Forms[J]. Chinese Physics C, 2003, 27(5): 371-376.

MO Xiao-Hu and ZHU Yong-Sheng. Equivalence of Two χ² Forms[J]. Chinese Physics C, 2003, 27(5): 371-376. shu

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Received: 2002-09-24
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

Equivalence of Two χ² Forms

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: 2002-09-24
Accepted Date: 1900-01-01
Available Online: 2003-05-05

Abstract: The equivalence of two χ² forms is proved by matrix calculation. The bias of minimization estimate is also discussed. The simplified R-value measurements are quoted to test the conclusion quantitatively.