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Parameter estimation for two-dimensional ising fields corrupted by noise

Author

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  • Frigessi, Arnoldo
  • Piccioni, Mauro

Abstract

On a finite sublattice [Lambda] of Z2, consider a free-boundary Ising model X with inverse temperature [beta] > 0 and without external field. Assume that each spin is flipped with unknown probability [epsilon], independently for each site and of X. This has been suggested as a stochastic model for digital images. In this paper estimators are proposed for [beta] and [epsilon] and shown to be consistent as [Lambda][short up arrow]Z2. They are very easily computable since they do not require any evaluation of conditional statistics. Numerical experiments are reported on the performance of these statistics on a lattice of moderate size.

Suggested Citation

  • Frigessi, Arnoldo & Piccioni, Mauro, 1990. "Parameter estimation for two-dimensional ising fields corrupted by noise," Stochastic Processes and their Applications, Elsevier, vol. 34(2), pages 297-311, April.
    • Handle: RePEc:eee:spapps:v:34:y:1990:i:2:p:297-311
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    Cited by:

    1. Pablo A. Ferrari & Marco D. Gubitoso & E. Jordão Neves, 2001. "Reconstruction of Gray-Scale Images," Methodology and Computing in Applied Probability, Springer, vol. 3(3), pages 255-270, September.

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