Communications for Statistical Applications and Methods

  • 제1권1호
  • /
  • Pages.57-74
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  • 1994
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  • 2287-7843(pISSN)
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  • 2383-4757(eISSN)
한국통계학회 (The Korean Statistical Society)
권호 표지

A Common Mean Estimation Problem of P-Normal Populations

  • Seung Soo Lee (Department of Statistics, Kangwon National University, 192-1 hyoja 2-dong, chuncheon, KOREA 200-701) ;
  • Kwan Young Kim (Department of Statistics, Kangwon National University, 192-1 hyoja 2-dong, chuncheon, KOREA 200-701)
  • 발행 : 1994.12.01
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초록

This paper deals with the estimation problems of a common mean of several independent normal populations with unknown variances, based on random samples of equal size. The authors suggest a promising approach and a new estimator to improve Graybill-Deal estimator further. By Monte Carlo simulation study, the efficiency of new estimator is compared with that of Graybill-Deal estimator.

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참고문헌

  1. The annals of Statistics v.1 Inadmissibility of maximum likelihood estimator in some multiple regression problems with three of more independent variables Baranchik, A. J.
  2. Annals of The Institue of Statistical Mathematics v.30 Yates type estimators of a common mean Bhattacharya, C. G.
  3. Mathematical Statistics-Basic Ideas and Selected Topic Bickel, P. J.;Doksum, K. A.
  4. The annals of Statistics v.2 Point and confidence estimation of a common mean and recovery of interblock information Brown, L. D.;Cohen, A.
  5. The annals of Statistics v.2 On estimating the common mean of two normal distributions Cohen, A.;Sackrowitz, H. B.
  6. Biometrics v.15 Combining unbiased estimators Graybill, F. A.;Deal, R. B.
  7. The Journal of Science and Technology v.31 New unbiased estimator of a common mean of two normal populations Lee, S. S.
  8. Journal of American Statistical Association v.64 Combinations of unbiased estimation of the mean which consider inequality of unknown variances Metha, J. S.;Gurland, J.
  9. The annals of Statistics v.5 Estimating the common mean of several normal populations Norwood, Jr. T. E.;Hinkelmann, K.
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  12. Journal of American Statistical Association v.61 Unbiased estimation of the common mean of two normal distributions based on small samples of equal size Zacks, S.
  13. Communication in Statistics, Part A-Theory and Method v.7 A note on estimating the common mean of K normal distribution and the Stein problem Shinozaki, N.