pure and applied geophysics

, Volume 91, Issue 1, pp 5–13 | Cite as

A simple statistical estimation procedure for Monte Carlo Inversion in geophysics

  • R. S. Anderssen
  • E. Seneta
Article

Summary

This paper examines the use of Monte Carlo Inversion (MCI) as an effective means for inverting ((geo)physical) data. Press, following Keilis-Borok and Yanovskaya, has used it successfully as an independent method for density modelling. However, to-date, no statistical basis for the interpretation of the results determined by it in geophysical applications has been developed. Since its future success and credibility will rest heavily on the development of such a basis, we give a simple statistical estimation procedure which defines in a natural way the procedure which must be used when applying, and interpreting the results obtained from, MCI. In addition, it is shown that MCI complements, rather than competes with, the work of Backus and Gilbert.

Keywords

Geophysics Statistical Estimation Estimation Procedure Effective Means Independent Method 

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Copyright information

© Birkhäuser Verlag 1971

Authors and Affiliations

  • R. S. Anderssen
    • 1
  • E. Seneta
    • 1
  1. 1.Australian National UniversityCanberraAustralia

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