Communications for Statistical Applications and Methods

  • 제2권2호
  • /
  • Pages.347-349
  • /
  • 1995
  • /
  • 2287-7843(pISSN)
  • /
  • 2383-4757(eISSN)
한국통계학회 (The Korean Statistical Society)
권호 표지

A Note on Central Limit Theorem on $L^P(R)$

  • Sungho Lee (Department of Statistics, Taegu University, Kyungbuk, 712-714, KOREA) ;
  • Dug Hun Hong (Department of Statistics, Catholic University of Taegu Hyosung, Kyungbuk 712-702, KOREA)
  • 발행 : 1995.12.01
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초록

In this paper a central limit theorem on $L^P(R)$ for $1{\leq}p<{\infty}$ is obtained with an example when ${X_n}$ is a sequence of independent, identically distributed random variables on $L^P(R)$.

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참고문헌

  1. Probability Theory and Related Fields v.80 Central limit theorem for lp-norms of density estimators Csorgo,M.;Horvath,L.
  2. Nonparametric Density Estimation, The L₁ View Devroye,L.;Gyorfi,L
  3. Annals of Probability v.4 The law of large numbers and the central limit theorem in Banach spaces Hoffmann-Jørgensen,J.;Pisier,G.
  4. Journal of Korean Statistical Society v.22 Random elements in L¹(R) and Kernel density estimators Lee,Sungho;Taylor,R.L.
  5. Mathematical Statistics and Probablity Theory, Vol. A of the Proceedings of the 6th Pannonion Symposium on Mathematical Statistics Consistency of kernel density estimators and laws of large numbers in Co(R) Taylor,R.L.;Hu,T.C.
  6. Annals of Probability v.5 A note on the central limit theorem in Banach space Zinn,J.