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random fields


  • Nazgul Jenish


Random fields are stochastic processes indexed by a multidimensional parameter. They possess some interesting properties, e.g. isotropy and the Markov property, and satisfy laws of large numbers and weak convergence theorems under fairly general conditions. As such, random fields provide a powerful tool for modelling spatial phenomena in physics, biology, economics, and other social sciences.

Suggested Citation

  • Nazgul Jenish, 2010. "random fields," The New Palgrave Dictionary of Economics, Palgrave Macmillan.
  • Handle: RePEc:pal:dofeco:v:4:year:2010:doi:3827

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    References listed on IDEAS

    1. Steven Brams & Peter Fishburn, 2005. "Going from theory to practice: the mixed success of approval voting," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 25(2), pages 457-474, December.
    2. Jean-Fran├žois Laslier & Karine Straeten, 2008. "A live experiment on approval voting," Experimental Economics, Springer;Economic Science Association, vol. 11(1), pages 97-105, March.
    3. repec:cup:apsrev:v:87:y:1993:i:01:p:102-114_09 is not listed on IDEAS
    4. Donald Saari & Jill Newenhizen, 1988. "The problem of indeterminacy in approval, multiple, and truncated voting systems," Public Choice, Springer, vol. 59(2), pages 101-120, November.
    5. repec:cup:apsrev:v:72:y:1978:i:03:p:831-847_15 is not listed on IDEAS
    6. repec:cup:apsrev:v:78:y:1984:i:04:p:952-958_25 is not listed on IDEAS
    7. Fishburn, Peter C., 1978. "Axioms for approval voting: Direct proof," Journal of Economic Theory, Elsevier, vol. 19(1), pages 180-185, October.
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    More about this item


    Markov random fields; random fields; spatial processes;

    JEL classification:

    • C10 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - General
    • C31 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models; Quantile Regressions; Social Interaction Models
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations


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