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

Abstract
HTML
Reference
Related

PDF

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)

[1]	SHI Yuan-Mei , PING Jia-Lun , HE Han-Xin . Two Renormalization Approaches for the Dyson-Schwinger Equations in the Infrared. Chinese Physics C, 2006, 30(9): 833-837.
[2]	MO Xiao-Hu . Further Corroboration of Equivalence of Two χ² Forms. Chinese Physics C, 2006, 30(2): 140-146.
[3]	LU Xiao , LI Qing-Run , ZHAO Wei-Qin . A Comparison Between Two Different Optical Potentials for the ³He+ ¹²C Scattering at the Energy 72MeV. Chinese Physics C, 2004, 28(1): 53-55.
[4]	JIN Yi , XIE Qu-Bing , LI Shi-Yuan . Influence of Interference Terms on Probability of Color Connections among Partons in e⁺e^－→qq+ng Process. Chinese Physics C, 2003, 27(4): 282-287.
[5]	MO Xiao-Hu , ZHU Yong-Sheng . Different χ² Forms for Correlated Data and Their Properties. Chinese Physics C, 2003, 27(9): 747-753.
[6]	SHAO Feng-Lan , XIE Qu-Bing . Ratio of Baryon to Meson and Baryon Antibaryon Correlation in e⁺e^－ Annihilation under Two Kinds of Color Connections. Chinese Physics C, 2002, 26(8): 779-785.
[7]	Dai Guangxi , He Zhiyong , Fu Yanbiao , Duan Limin , Li Zuyu , Zhang Baoguo , Liu Guoxing , Wu Heyu . Comparison Between Hot Nuclei Temperature Values Deduced by Two Methods in ⁴⁰Ar+¹⁵⁹Tb and ^natAg Reactions at 30MeV/u. Chinese Physics C, 1999, 23(3): 223-230.
[8]	Dai Guangxi , Wu Heyu , Fu Yanbiao , Duan Limin , He Zhiyong , Li Zuyu , Zhang Baoguo , Liu Guoxing . Two Modes in Three-fold Fragmentation of hot Nuclei. Chinese Physics C, 1999, 23(1): 51-58.
[9]	Liu Jianye , Liu Hang , Di Toro , Zuo Wei . Systematic Comparisions of Theoretical Calculation Resultson Heavy Ion Collision Between TBCTT and QMD. Chinese Physics C, 1998, 22(8): 707-712.
[10]	Li Long . Two Kinds of Signature Splittings in Odd-A Superdeformed Nuclei. Chinese Physics C, 1998, 22(8): 732-738.
[11]	Shen Qixing , Chao Ming , Yu Hong . Moment Analysis of J/ψ Decay Processes and Comparison of Results in Two Frames. Chinese Physics C, 1997, 21(5): 408-412.
[12]	Zhang Jun , Yang Guangcan , Yan Hong . Two Dimensional Cyclic Representations of U_q(sl₂)and 8-Vertex Ising Model. Chinese Physics C, 1995, 19(11): 1005-1011.
[13]	Li Qingrun , Yang Yongxu . A Comparison of Two Different Models for ¹²C+¹²C Scattering. Chinese Physics C, 1994, 18(12): 1115-1118.
[14]	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.
[15]	YANG Yong-Xu , LI Qing-Run . A Comparison Between two Different α-Particle Wave Functions via Heavy ion Scattering. Chinese Physics C, 1992, 16(8): 762-764.
[16]	LU Jian-Xin , RUAN Tu-Nan . GAUGE TRANSFORMATION IN STRING THEORY. Chinese Physics C, 1989, 13(4): 309-315.
[17]	QIU Rong . THE EQUIVALENCE OF TWO TRANSFORMATIONS OF THE INVARIANCE OF LAGRANGIAN FUNCTION IN NON-ABELIAN GAUGE FIELD. Chinese Physics C, 1989, 13(4): 302-308.
[18]	LI Wen-Zhu , DONG Shao-Jing . MONTE CARLO STUDY OF SU(3) LATTICE GAUGE THEORY FOR TWO ALTERANTIVE ACTIONS. Chinese Physics C, 1985, 9(4): 502-504.
[19]	CHEN XIAO-SHU , ZHANG QING-YING . THE TWO-BODY SPIN-ORBIT COUPLING INTERACTION AND THE ENERGY SPECTRA OF f_7/2 SHELL NUCLEI. Chinese Physics C, 1979, 3(4): 454-458.
[20]	HOU BO-YU . NONEQUIVALENT SU(2) GAUGE POTENTIALS UNDER EQUAL FIELD STRENTHS AND SOURCES. Chinese Physics C, 1978, 2(1): 61-66.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2002-09-24
Revised: 1900-01-01

Article Metric

Article Views(2457)
PDF Downloads(508)
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

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.