Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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THE UNIFORM LOCAL ASYMPTOTIC NORMALITY: AN EMPIRICAL PROCESS THEORY APPROACH

  • Published : 2003.08.01
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Abstract

We investigate a uniform local asymptotic normality for likelihood ratio processes based on an independent and identically distributed local asymptotic problem. Our tool is an empirical process theory.

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References

  1. Wiley series in probability and mathematical sataistics Convergence of probability measures P.Billingsley
  2. Res. Memo.403, Dept. of Statistics and Probability Sufficient conditions for local asymptotic normality V.Fabian;J.Hannan
  3. Z. Wahrsch. Verw. Gebiete v.59 On estimation and adaptive estimation for locally asymptotically normal families https://doi.org/10.1007/BF00532803
  4. Wiley series in probability and mathematical sataistics Introduction to probability and mathematical statistics
  5. Univetsity of California Publications in Statistics v.3 Locally asymptotically normal families of distributions L.Le.Cam
  6. Springer series in statistics Convergence of Stochastic processes D.Pollard
  7. NSF-CBMS Regional Conference Series in Probability and Statistics 2, Empirical processes:theory and applications
  8. Springer series in statistics Weak convergence and empirical processes with applications to statistics A.W.Van der Vaart;J.A.Wellner