The Korean Journal of Applied Statistics (응용통계연구)

The Korean Statistical Society (한국통계학회)
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Discrete approximation to the optimal density in moment problems

적률 문제에 있어서의 최적 확률 밀도 함수의 이산적 근사

  • Chang Kon Hong (Department of Computer Science and Statistics, Dong-eui University, Pusan 614-714, Korea)
  • Published : 1994.09.01
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Abstract

In this paper we present some approximation theorems related to the problem of finding optimal densities with prescribed moments. The implementation of the approximation theorems is to be done in some examples.

본 논문에서는 주어진 n개의 적률을 갖는 최적의 확률 밀도 함수를 찾는 문제와 관련된 몇가지 근사 정리들을 제안하고 증명한다. 또한, 이 근사 정리들이 예를 통하여 수행될 것이다.

Keywords

References

  1. Sobolev Spaces Adams,R.A.
  2. American Mathematical Society:Transactions v.68 Theory of reproducing kernels Aronszajn,N.
  3. Spline Smoothing and Nonparametric Regression Eubank,R.L.
  4. Biometrika v.58 Nonparametric roughness penalties for probability densities Good,I.J.;Gaskins,R.A.
  5. Ph.D. Thesis, Purdue University Densities with optimal smoothness in moment problems Hong,C.
  6. DAMTP Report NA17 ZQPCVX a FORTRAN subroutine for convex quadratic programming Powell,M.J.D.
  7. DAMTP Report NA19 On the quadratic programming algorithm of Golbfarb and Idnani Powell,M.J.D.
  8. Proceedings, National Academy of Sciences v.USA 52 Spline functions and the problem of graduation Schoenberg,I.J.
  9. Annals of Statistics v.8 Nonparametric probability density estimation by discrete maximum penalized likelihood criteria Scott,D.W.;Tapia,R.A.;Thompson,J.R.
  10. Density Estimation for Statistics and Data Analysis Silverman,B.W.
  11. Nonparametric Function Estimation, Modeling, and Simulation Tapia,J.R.;Thompson,R.A.
  12. Spline Models for Observational Data, CBMS 59 Wahba,G.