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New Ways to Prove Central Limit Theorems


  • Pollard, David


This paper describes some techniques for proving asymptotic normality of statistics defined by maximization of random criterion function. The techniques are based on a combination of recent results from the theory of empirical processes and a method of Huber for the study of maximum likelihood estimators under nonstandard conditions.

Suggested Citation

  • Pollard, David, 1985. "New Ways to Prove Central Limit Theorems," Econometric Theory, Cambridge University Press, vol. 1(03), pages 295-313, December.
  • Handle: RePEc:cup:etheor:v:1:y:1985:i:03:p:295-313_01

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