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A likelihood ratio formula for random fields with application to physical geodesy

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Abstract

A formula for the likelihood ratio applicable to estimation and inference problems arising in random field data models in physical geodesy is derived based on multiparameter white noise theory.

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References

  1. A. V. Balakrishnan,Applied functional analysis, 2nd edition, Springer-Verlag, 1981.

  2. A. V. Balakrishnan, Some estimation problems for random fields,C. R. Rao Honorary Volume, ed. P. Krishnaya et al., Academic Press, 1981.

  3. A. V. Balakrishnan, Likelihood ratios for signals in additive noise,Journal of Applied Mathematics and Optimization, 3, (1977).

  4. H. Moritz,Advanced physical geodesy, Abacus Press, Tunbridge Wells, Kent, 1980.

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  7. H. Cramer,Mathematical methods of statistics, Princeton University Press, 1963.

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Authors and Affiliations

  1. Systems Science Department, UCLA, 90024, Los Angeles, LA, USA

    A. V. Balakrishnan

Authors
  1. A. V. Balakrishnan
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Additional information

Research supported in part under grant no. 78-3550, Applied Mathematics Division, AFOSR, United States Air Force.

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Balakrishnan, A.V. A likelihood ratio formula for random fields with application to physical geodesy. Appl Math Optim 8, 97–102 (1982). https://doi.org/10.1007/BF01447753

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  • DOI: https://doi.org/10.1007/BF01447753

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