ESTIMATION OF SEISMICITY AND NETWORK DETECTION CAPABILITY

Abstract

The problem of estimating seismicity and the performance of a system which detects earthquakes is formulated in such a way that maximum likelihood estimation can be applied. The mean number of earthquakes which occur in a fixed time interval is assumed to be of the form exp (a-bm) where m is magnitude and a and b are constants. The probability of detection as a function of m is taken to be an error function. Procedures to obtain maximum likelihood estimates of a, b, and the error function mean and variance factors are derived, discussed, and applied to experimental data to check the relevance of the theoretical development.

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Document Details

Document Type
Technical Report
Publication Date
Sep 16, 1969
Accession Number
AD0695044

Entities

People

  • Edward J. Kelly
  • Richard T. Lacoss

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Materials and Manufacturing Processes
  • Sensors

DTIC Thesaurus Topics

  • Classification
  • Detection
  • Detectors
  • Earthquakes
  • Equations
  • Estimators
  • Experimental Data
  • Maximum Likelihood Estimation
  • Probability
  • Probability Density Functions
  • Probability Distributions
  • Random Variables
  • Security
  • Standards
  • Statistical Algorithms
  • Statistical Estimation
  • Stochastic Processes

Fields of Study

  • Mathematics

Readers

  • Seismology
  • Statistical inference.