A Functional Central Limit Theorem for Stationary Random Fields

Author:
  • CDChandrakant M. Deo
    Chandrakant M. Deo
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Abstract
In this paper, the concept of $\varphi$-mixing is extended to random fields, and a central limit theorem analogous to Theorem 20.1 of Billingsley (Convergence of Probability Measures, Wiley (1968)) is obtained for stationary, $\varphi$-mixing random fields.