Journal of the Korean Statistical Society

The Korean Statistical Society (한국통계학회)
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Maximum Penalized Likelihood Estimate in a Sobolev Space

  • Park, Young J. (Research Institute of Statistics, Seoul National University, Seoul, 151-742) ;
  • Lee, Young H. (Department of Mathematic Education, Ewha Womens University, Seoul, 120-750)
  • Published : 1997.03.01
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Abstract

We show that the Maximum Penalized Likelihood Estimate uniquely exits in a Sobolve spece which consists of bivariate density functions. The Maximum Penalized Likehood Estimate is represented as the square of the sum of the solutions of the Modified Helmholtz's equation on the compact subset of R$^{2}$.

Keywords

References

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