pure and applied geophysics

, Volume 87, Issue 1, pp 43–53 | Cite as

A magnitude-frequency relation for the lognormal distribution of earthquake magnitude

  • George Purcaur
  • Dan Zorilescu
Article

Summary

The paper discusses the magnitude-frequency relation, logN(M)=a+b logM-c(logM)2, for the lognormal distribution of earthquake magnitude in a given series. Bothb andc coefficients are usually determined by the method of least squares. Being given an estimation method for this coefficient values, there is obtained:
$$b = \frac{{\log e\log \gamma }}{{\sigma ^2 \log }},c = \frac{{\log e}}{{2\sigma ^2 \log }}$$

where log λ and σ log 2 are the mean and the variance of the variable, logM, respectively. Some aspects of this magnitude-frequency relation are also discussed for the earthquake series where the lognormality assumption is accepted.

Keywords

Estimation Method Lognormal Distribution Earthquake Magnitude Earthquake Series Lognormality Assumption 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Verlag 1971

Authors and Affiliations

  • George Purcaur
  • Dan Zorilescu
    • 1
  1. 1.Mining Research InstituteSeismostatistical Research GroupBucharestRomania

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