Автор |
Kawano, H. |
Автор |
Higuchi, T. |
Дата выпуска |
1995 |
dc.description |
The minimum variance analysis technique introduced by Sonnerup and Cahill (1967) is a useful tool in space physics. However the statistical errors appearing in this method are difficult to estimate accurately because of the complicated form of the eigenvalue decomposition. To deal with this problem, this paper introduces the bootstrap method (Efron, 1979) which replaces analytical solutions with repeated simple calculations. We apply this method to the estimation of the statistical errors in the minimum variance direction and the average component in the minimum variance direction, and show that this method accurately estimates the errors. |
Формат |
application.pdf |
Копирайт |
Copyright 1995 by the American Geophysical Union. |
Тема |
Magnetospheric Physics |
Тема |
Magnetospheric Physics: Magnetopause, cusp, and boundary layers |
Тема |
Magnetospheric Physics: MHD waves and instabilities |
Тема |
Magnetospheric Physics: General or miscellaneous |
Тема |
Space Plasma Physics |
Тема |
Space Plasma Physics: General or miscellaneous |
Название |
The bootstrap method in space physics: Error estimation for the minimum variance analysis |
Тип |
article |
DOI |
10.1029/94GL02969 |
Electronic ISSN |
1944-8007 |
Print ISSN |
0094-8276 |
Журнал |
Geophysical Research Letters |
Том |
22 |
Первая страница |
307 |
Последняя страница |
310 |
Аффилиация |
Kawano, H.; Department of Earth and Planetary Physics, University of Tokyo, Tokyo, Japan |
Аффилиация |
Higuchi, T.; The Institute of Statistical Mathematics, Tokyo, Japan |
Выпуск |
3 |
Библиографическая ссылка |
Anderson, T. W.An introduction to multivariate statistical analysis, John Wiley & Sons, New York, 1958 |
Библиографическая ссылка |
Aubry, M. P.M. G.KivelsonC. T.Russell, Motion and structure of the magnetopause, J. Geophys. Res., 76, 1673–1696, 1971 |
Библиографическая ссылка |
Beran, R.M. S.Srivastava, Bootstrap tests and confidence regions for functions of a covariance matrix, The Annals of Statistics, 13, 95–115, 1985 |
Библиографическая ссылка |
Diaconis, P.B.Efron, Computer‐intensive methods in statistics, Scientific American, 248, 116–130, 1983 |
Библиографическая ссылка |
Efron, B., Bootstrap methods: Another look at the jackknife, Annals of Statistics, 7, 1–26, 1979 |
Библиографическая ссылка |
Efron, B., The Jackknife, the bootstrap and other resampling plans, SIAM (Society for Industrial and Applied Mathematics)Philadelphia, 1982 |
Библиографическая ссылка |
Efron, B., Better bootstrap confidence intervals (with discussion, Journal of the American Statistical Association, 82, 397, 171–200, 1987 |
Библиографическая ссылка |
Efron, B.R. J.Tibshirani, Bootstrap methods for standard errors, confidence intervals, and other measures of statistical accuracy, Statistical Science, 1, 54–77, 1986 |
Библиографическая ссылка |
Efron, B.R. J.Tibshirani, Statistical data analysis in the computer age, Science, 253, 390–395, 1991 |
Библиографическая ссылка |
Efron, B.R. J.TibshiraniAn introduction to the bootstrap, Chapman & Hall, New York, 1993 |
Библиографическая ссылка |
Hall, P.The Bootstrap and Edgeworth Expansion, Springer‐Verlag, New York, 1992 |
Библиографическая ссылка |
Hoppe, M. M.C. T.RussellL. A.FrankT. E.EastmanE. W.Greenstadt, Upstream hydromagnetic waves and their association with backstreaming ion populations: ISEE 1 and 2 observations, J. Geophys. Res., 86, 4471–4492, 1981 |
Библиографическая ссылка |
Hotelling, H., Analysis of a complex of statistical variables into principal components, Journal of Educational Psychology, 24, 417–441 498–520, 1933 |
Библиографическая ссылка |
Konishi, S., Bootstrap methods and confidence intervals, in Japanese Japanese Journal of Applied Statistics, 19, 137–162, 1990 |
Библиографическая ссылка |
Kubokawa, T.S.EguchiA.TakemuraS.Konishi, Recent developments of the theory of statistical inference, in Japanese with English Abstract Journal of Japan Statistical Society, 22, No.3, 257–312, 1993 |
Библиографическая ссылка |
Leger, C.D. N.PolitisJ. P.Romano, Bootstrap technology and applications, Technometrics, 34, 4, 378–398, 1992 |
Библиографическая ссылка |
Lepping, R. P.K. W.Behannon, Magnetic field directional discontinuities. I. Minimum variance errors, J. Geophys. Res., 85, 4695–4703, 1980 |
Библиографическая ссылка |
Moldwin, M. B.W. J.Hughes, Observations of earthward and tailward propagating flux rope plasmoids: Expanding the plasmoid model of geomagnetic substorms, J. Geophys. Res., 99, 183–198, 1994 |
Библиографическая ссылка |
Neugebauer, M.D. R.ClayB. E.GoldsteinB. T.TsurutaniR. D.Zwickl, A reexamination of rotational and tangential discontinuities in the solar wind, J. Geophys. Res., 89, 5395–408, 1984 |
Библиографическая ссылка |
Slavin, J. A.M. F.SmithE. L.MazurD. N.BakerE. W.HonesJr.T.IyemoriE. W.Greenstadt, ISEE 3 observations of traveling compression regions in the earth's magnetotail, J. Geophys. Res., 98, 15425–15446, 1993 |
Библиографическая ссылка |
Smith, E. J.B. T.Tsurutani, Magnetosheath lion roars, J. Geophys. Res., 81, 2261–2266, 1976 |
Библиографическая ссылка |
Sonnerup, B. U. Ö.L. J.CahillJr., Magnetopause structure and altitude from Explorer‐12 observations, J. Geophys. Res., 72, 171–183, 1967 |
Библиографическая ссылка |
Sonnerup, B. U. Ö., Magnetopause structure during the magnetic storm of September 24, 1961, J. Geophys. Res., 76, 6717–6735, 1971 |
Библиографическая ссылка |
Sonnerup, B. U. Ö.I.PapamastorakisG.PaschmannH.Lühr, Magnetopause properties from AMPTE/IRM observations of the convection electric field: Method development, J. Geophys. Res., 92, 12137–12159, 1987 |
Библиографическая ссылка |
Tauxe, L.N.KylstraC.Constable, Bootstrap statistics for paleomagnetic data, J. Geophys. Res., 96, 11723–11740, 1991 |
Библиографическая ссылка |
Thorne, R. M.E. J.SmithR. K.BurtonR. E.Holzer, Plasmaspheric hiss, J. Geophys. Res., 78, 1581–1596, 1973 |
Библиографическая ссылка |
Tsurutani, B. T.T.GouldB. E.GoldsteinW. D.GonzalezM.Sugiura, Interplanetary Alfvén waves and auroral (substorm) activity: IMP 8, J. Geophys. Res., 95, 2241–2252, 1990 |