Estimating the Uncertainty and Predictive Capabilities of Three-Dimensional Earth Models (Postprint)

Abstract

A maximum likelihood approach to solving the geostatistical estimation problem is being pursued whereby the geostatistical parameters, together with pick-error variances, are simultaneously fit to the second-order statistics of the observed travel-time residuals. The maximum likelihood criterion for the optimal parameter values reduces to a set of coupled, nonlinear equations which, in general, must be solved numerically. The geostatistical estimation problem within a maximum-likelihood framework has been formulated and an approach for its numerical solution outlined.

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Document Details

Document Type
Technical Report
Publication Date
Mar 22, 2012
Accession Number
ADA566208

Entities

People

  • Delaine T. Reiter
  • Stephen C. Myers
  • William L. Rodi

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Air Force Research Laboratories
  • Data Science
  • Data Sets
  • Databases
  • Earth Models
  • Equations
  • Ground Based
  • Information Science
  • Maximum Likelihood Estimation
  • Nuclear Explosions
  • Order Statistics
  • Residuals
  • Statistics
  • Surface Waves
  • Three Dimensional
  • Travel Time

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Computational Modeling and Simulation
  • Seismology