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

MO Xiao-Hu

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2024年10月30日

Chinese Physics C> 2006, Vol. 30> Issue(2) : 140-146

Further Corroboration of Equivalence of Two χ² Forms

MO Xiao-Hu ^,

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

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Abstract：
The equivalence of two χ² forms for linear function fit is proved.The two forms of χ² are applied on a simplified R-value measurement to test the equivalence.

References

[1]

. Behrend H J et al(CELLO Collab.). Phys. Lett., 1987,B182: 400-4112. CERN Library. MINUIT Reference Manual(Version 92.1).March 19923. Brandelik R et al(TASSO Collab.). Phys. Lett., 1982,B113: 499-508; Brandelik R et al(TASSO Collab.). Z.Phys., 1980, C4: 87-934. Bartel W et al(JADE Collab.). Phys. Lett., 1983, B129:145-1525. D'Agostini G. Nucl. Instrum. Methods, 1994, A346: 306-3116. Takeuchi T. Prog. Thero. Phys., 1996, 123(Suppl.): 247-2647. MO Xiao-Hu, ZHU Yong-Sheng. HEP NP, 2003, 27:371-376(in Chinese)(莫晓虎,朱永生.高能物理与核物理2003,27:371-376)8. Siegrist J L et al. Phys. Rev., 1982, D26: 969-9909. BAI J Z et al. Phys. Rev. Lett., 2000, 84: 59410. BAI J Z et al. Phys. Rev. Lett., 2002, 88: 10180211. MO Xiao-Hu, ZHU Yong-Sheng. HEP NP, 2003, 27:747-753(in Chinese)(莫晓虎,朱永生.高能物理与核物理2003, 27:747-753)12. Greub Wener. Linear Algebra (Fourth Edition). Springer-Verlag New York Inc., 1981

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MO Xiao-Hu. Further Corroboration of Equivalence of Two χ² Forms[J]. Chinese Physics C, 2006, 30(2): 140-146.

MO Xiao-Hu. Further Corroboration of Equivalence of Two χ² Forms[J]. Chinese Physics C, 2006, 30(2): 140-146. shu

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Received: 2005-06-06
Revised: 2005-08-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Further Corroboration of Equivalence of Two χ² Forms

MO Xiao-Hu ^,

Corresponding author: MO Xiao-Hu,

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

Received Date: 2005-06-06
Accepted Date: 2005-08-01
Available Online: 2006-02-05

Abstract: The equivalence of two χ² forms for linear function fit is proved.The two forms of χ² are applied on a simplified R-value measurement to test the equivalence.