Consistent Estimation of Mixture Complexity

  title={Consistent Estimation of Mixture Complexity},
  author={Frankie James and Carey E. Priebe and David J. Mar and hetteThe},
The consistent estimation of mixture complexity is of fundamental importance in many applications of finite mixture models. An enormous body of literature exists regarding the application, computational issues and theoretical aspects of mixture models when the number of components is known, but estimating the unknown number of components remains an area of intense research effort. This article presents a semiparametric methodology yielding almost sure convergence of the estimated number of… CONTINUE READING

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Uniform consistency of automatic and location adaptive delta sequence estimators

  • D. Nolan, J. S. Marron
  • Probab . Theory Related Fields
  • 1989
Highly Influential
5 Excerpts

On the asymptotic properties of the minimum Hellinger estimation in the case of a mixture model

  • Cordero-Braña, I O., A. Cutler
  • Research Report 7/01/104,
  • 2001

Consistent estimation of the order of mixture models

  • distributions. Ann
  • Inst. Statist. Math
  • 2000
2 Excerpts

The estimation of the order of a mixture model

  • L. F. JAMES, C. E. PRIEBE, E. Gassiat
  • Bernoulli
  • 1997

Penalized minimum distance estimates in finite mixture models

  • J. Chen, D Kalbfleisch.J.
  • Canad. J. Statist
  • 1996

The consistency of a smoothed minimum distance estimate

  • R. Cao, L. Devroye
  • Scand. J. Statist
  • 1996
1 Excerpt

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