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Limit theorems for short distances in

Author

Listed:
  • Eastwood, Vera R.
  • Horváth, Lajos

Abstract

We prove the weak convergence of the empirical process of a(n) close pairs. The limit process is always Gaussian but its form depends on how fast the sequence a(n) goes to zero.

Suggested Citation

  • Eastwood, Vera R. & Horváth, Lajos, 1999. "Limit theorems for short distances in," Statistics & Probability Letters, Elsevier, vol. 45(3), pages 261-268, November.
    • Handle: RePEc:eee:stapro:v:45:y:1999:i:3:p:261-268
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    References listed on IDEAS

    as
    1. Kester, Adri, 1975. "Asymptotic normality of the number of small distances between random points in a cube," Stochastic Processes and their Applications, Elsevier, vol. 3(1), pages 45-54, January.
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