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Detailed Reference Information |
O’Brien, T.P., Sornette, D. and McPherron, R.L. (2001). Statistical asynchronous regression: Determining the relationship between two quantities that are not measured simultaneously. Journal of Geophysical Research 106: doi: 10.1029/2000JA000193. issn: 0148-0227. |
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We introduce the Statistical Asynchronous Regression (SAR) method: a technique for determining a relationship between two time varying quantities without simultaneous measurements of both quantities. We require that there is a time invariant, monotonic function Y=u(X) relating the two quantities, Y and X. In order to determine u(X), we only need to know the statistical distributions of X and Y. We show that u(X) is the change of variables that converts the distribution of X into the distribution of Y, while conserving probability. We describe an algorithm for implementing this method and apply it to several example distributions. We also demonstrate how the method can separate spatial and temporal variations from a time series of energetic electron flux measurements made by a spacecraft in geosynchronous orbit. We expect this method will be useful to the general problem of spacecraft instrument calibration. We also suggest some applications of the SAR method outside of space physics. ¿ 2001 American Geophysical Union |
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Abstract |
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Keywords
Magnetospheric Physics, Energetic particles, trapped, General or Miscellaneous, Techniques applicable in three or more fields |
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Publisher
American Geophysical Union 2000 Florida Avenue N.W. Washington, D.C. 20009-1277 USA 1-202-462-6900 1-202-328-0566 service@agu.org |
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