Statistical equations and methods applied to the precision muon (g-2) experiment at BNL

C. J. G. Onderwater; Muon (g - 2) Collaboration

doi:10.1016/j.nima.2007.06.023

Statistical equations and methods applied to the precision muon (g-2) experiment at BNL

C. J. G. Onderwater, Muon (g - 2) Collaboration

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

In the muon (g - 2) experiment at Brookhaven National Laboratory, the spin precession frequency omega(a) is obtained from a standard chi(2) minimization fit applied to the time distribution of decay electrons. The unusually high accuracy (similar to 0.5 ppm) of the experiment puts stringent requirements on the quality of the fit and the level of understanding of the statistical properties of the fitted parameters. We discuss the properties of the fits and their implications on the derived value for omega(a), including estimates of the effect of an imperfect fit function, methods of including additional external information to reduce the error, the effects of splitting the data into many smaller subsets of data, applying different weighting methods to the data using energy information, and various tests of data suitability. (c) 2007 Elsevier B.V. All rights reserved.

Original language	English
Pages (from-to)	1096-1116
Number of pages	21
Journal	Nuclear Instruments & Methods in Physics Research Section A-Accelerators Spectrometers Detectors and Associated Equipment
Volume	579
Issue number	3
DOIs	https://doi.org/10.1016/j.nima.2007.06.023
Publication status	Published - 11 Sept 2007
Externally published	Yes

Keywords

X(2) minimization fit
statistical errors
correlations
systematic errors
set-subset variance
bias of fit parameters
ANOMALOUS MAGNETIC-MOMENT
POSITIVE MUON

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10.1016/j.nima.2007.06.023

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@article{ca33ba90085642c487635d800245a4e9,

title = "Statistical equations and methods applied to the precision muon (g-2) experiment at BNL",

abstract = "In the muon (g - 2) experiment at Brookhaven National Laboratory, the spin precession frequency omega(a) is obtained from a standard chi(2) minimization fit applied to the time distribution of decay electrons. The unusually high accuracy (similar to 0.5 ppm) of the experiment puts stringent requirements on the quality of the fit and the level of understanding of the statistical properties of the fitted parameters. We discuss the properties of the fits and their implications on the derived value for omega(a), including estimates of the effect of an imperfect fit function, methods of including additional external information to reduce the error, the effects of splitting the data into many smaller subsets of data, applying different weighting methods to the data using energy information, and various tests of data suitability. (c) 2007 Elsevier B.V. All rights reserved.",

keywords = "X(2) minimization fit, statistical errors, correlations, systematic errors, set-subset variance, bias of fit parameters, ANOMALOUS MAGNETIC-MOMENT, POSITIVE MUON",

author = "Bennett, {G. W.} and B. Bousquet and Brown, {H. N.} and G. Bunce and Carey, {R. M.} and P. Cushman and Danby, {G. T.} and Debevec, {P. T.} and M. Deile and H. Deng and W. Deninger and Dhawan, {S. K.} and Druzhinin, {V. P.} and L. Duong and E. Efstathiadis and Farley, {F. J. M.} and Fedotovich, {G. V.} and S. Giron and F. Gray and D. Grigoriev and M. Grosse-Perdekamp and A. Grossmann and M. Hare and Hertzog, {D. W.} and X. Huang and Hughes, {V. W.} and M. Iwasaki and K. Jungmann and D. Kawall and M. Kawamura and Khazin, {B. I.} and J. Kindem and F. Krienen and I. Kronkvist and A. Lam and R. Larsen and Lee, {Y. Y.} and Logashenko, {I. B.} and R. McNabb and W. Meng and J. Mi and Miller, {J. P.} and Morse, {W. M.} and D. Nikas and Onderwater, {C. J. G.} and Orlov, {Yu. F.} and C. Ozben and J. Paley and Q. Peng and C. Polly and {Muon (g - 2) Collaboration}",

year = "2007",

month = sep,

day = "11",

doi = "10.1016/j.nima.2007.06.023",

language = "English",

volume = "579",

pages = "1096--1116",

journal = "Nuclear Instruments & Methods in Physics Research Section A-Accelerators Spectrometers Detectors and Associated Equipment",

issn = "0168-9002",

publisher = "Elsevier B.V.",

number = "3",

}

Statistical equations and methods applied to the precision muon (g-2) experiment at BNL. / Onderwater, C. J. G.; Muon (g - 2) Collaboration.
In: Nuclear Instruments & Methods in Physics Research Section A-Accelerators Spectrometers Detectors and Associated Equipment, Vol. 579, No. 3, 11.09.2007, p. 1096-1116.

Research output: Contribution to journal › Article › Academic › peer-review

TY - JOUR

T1 - Statistical equations and methods applied to the precision muon (g-2) experiment at BNL

AU - Bennett, G. W.

AU - Bousquet, B.

AU - Brown, H. N.

AU - Bunce, G.

AU - Carey, R. M.

AU - Cushman, P.

AU - Danby, G. T.

AU - Debevec, P. T.

AU - Deile, M.

AU - Deng, H.

AU - Deninger, W.

AU - Dhawan, S. K.

AU - Druzhinin, V. P.

AU - Duong, L.

AU - Efstathiadis, E.

AU - Farley, F. J. M.

AU - Fedotovich, G. V.

AU - Giron, S.

AU - Gray, F.

AU - Grigoriev, D.

AU - Grosse-Perdekamp, M.

AU - Grossmann, A.

AU - Hare, M.

AU - Hertzog, D. W.

AU - Huang, X.

AU - Hughes, V. W.

AU - Iwasaki, M.

AU - Jungmann, K.

AU - Kawall, D.

AU - Kawamura, M.

AU - Khazin, B. I.

AU - Kindem, J.

AU - Krienen, F.

AU - Kronkvist, I.

AU - Lam, A.

AU - Larsen, R.

AU - Lee, Y. Y.

AU - Logashenko, I. B.

AU - McNabb, R.

AU - Meng, W.

AU - Mi, J.

AU - Miller, J. P.

AU - Morse, W. M.

AU - Nikas, D.

AU - Onderwater, C. J. G.

AU - Orlov, Yu. F.

AU - Ozben, C.

AU - Paley, J.

AU - Peng, Q.

AU - Polly, C.

AU - Muon (g - 2) Collaboration

PY - 2007/9/11

Y1 - 2007/9/11

N2 - In the muon (g - 2) experiment at Brookhaven National Laboratory, the spin precession frequency omega(a) is obtained from a standard chi(2) minimization fit applied to the time distribution of decay electrons. The unusually high accuracy (similar to 0.5 ppm) of the experiment puts stringent requirements on the quality of the fit and the level of understanding of the statistical properties of the fitted parameters. We discuss the properties of the fits and their implications on the derived value for omega(a), including estimates of the effect of an imperfect fit function, methods of including additional external information to reduce the error, the effects of splitting the data into many smaller subsets of data, applying different weighting methods to the data using energy information, and various tests of data suitability. (c) 2007 Elsevier B.V. All rights reserved.

AB - In the muon (g - 2) experiment at Brookhaven National Laboratory, the spin precession frequency omega(a) is obtained from a standard chi(2) minimization fit applied to the time distribution of decay electrons. The unusually high accuracy (similar to 0.5 ppm) of the experiment puts stringent requirements on the quality of the fit and the level of understanding of the statistical properties of the fitted parameters. We discuss the properties of the fits and their implications on the derived value for omega(a), including estimates of the effect of an imperfect fit function, methods of including additional external information to reduce the error, the effects of splitting the data into many smaller subsets of data, applying different weighting methods to the data using energy information, and various tests of data suitability. (c) 2007 Elsevier B.V. All rights reserved.

KW - X(2) minimization fit

KW - statistical errors

KW - correlations

KW - systematic errors

KW - set-subset variance

KW - bias of fit parameters

KW - ANOMALOUS MAGNETIC-MOMENT

KW - POSITIVE MUON

U2 - 10.1016/j.nima.2007.06.023

DO - 10.1016/j.nima.2007.06.023

M3 - Article

SN - 0168-9002

VL - 579

SP - 1096

EP - 1116

JO - Nuclear Instruments & Methods in Physics Research Section A-Accelerators Spectrometers Detectors and Associated Equipment

JF - Nuclear Instruments & Methods in Physics Research Section A-Accelerators Spectrometers Detectors and Associated Equipment

IS - 3

ER -

Statistical equations and methods applied to the precision muon (g-2) experiment at BNL

Abstract

Keywords

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