Journal of the Korean Statistical Society

  • 제29권2호
  • /
  • Pages.169-185
  • /
  • 2000
  • /
  • 1226-3192(pISSN)
  • /
  • 2005-2863(eISSN)
한국통계학회 (The Korean Statistical Society)
권호 표지

Estimating the Population Size from a Truncated Sample

  • Yeo, Sung-Chil (Department of Applied Statistics, Konkuk University)
  • 발행 : 2000.06.01
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

Given a random sample of size N (unknown) with density f(x│$\theta$), suppose that only n observations which lie outside a region r are recorded. On the basis of n observation, the Bayes estimators of $\theta$ and N are considered and their asymptotic expansions are developed to find the third order asymptotic properties with those of the maximum likelihood estimators and the Bayes modal estimators. The asymptotic m.s.e.'s of these estimators are expressed. An example is given to illustrate the results obtained.

키워드

참고문헌

  1. Communications in Statistics v.A 6 Estimating Population Size with Truncated Sampling Blumenthal, S.
  2. Sankhya v.A 44 Stochastic Expansions for Point Estimation from Truncated Samples Blumenthal, S.
  3. Journal of the American Statistical Association v.73 Estimating the Complete Sample Size from an Incomplete Poisson Sample Blumenthal, S.;Dahiya, R.C.;Gross, A.J.
  4. Journal of the American Statistical Association v.28 Estimating Population Size with Exponential Failure Blumenthal, S.;Marcus, R.
  5. Communications in Statistics v.A 9 Estimation with Truncated Inverse Binomial Sampling Blumenthal, S.;Sanathanan, L.P.
  6. Journal of the American Statistical Association v.68 Estimating the Zero Class from a Truncated Poisson Sample Dahiya, R.C.;Gross, A.J.
  7. The Annals of Mathematical Statistics v.26 Estimation of Parameters of Truncated or Censored Exponential Distributions Deemer, W.L.;Votaw, D.F.
  8. The Annals of Statistics v.3 Defining the Curvature of a Statistical Problem (with Applications to Second Order Efficiency) Efron, B.
  9. Sankhya v.A 36 Second Order Efficiency of Maximum Likelihood Estimators Ghosh, J.K.;Subramanyam, K.
  10. Theory of Probability and Its Applications v.20 Asymptotic Expansions Associated with Some Statistical Estimators in the Smooth Case,Ⅰ. Expansions of Random Variables Gusev, S.I.
  11. Theory of Probability and Its Applications v.21 Asymptotic Expansions Associated with Some Statistical Estimators in the Smooth Case, Ⅱ. Expansions of Moments and Distributions Gusev, S.I.
  12. The Annals of Statistics v.1 Asymptotic Expansions Related to Minimum Contrast Estimators Pfanzagl, J.
  13. Proc. Fourth Berkeley Symp. Math. Statist. Prob v.1 Asymptotic Efficiency and Limiting Information Rao, C.R.
  14. Journal of the Royal Statistical Society v.B 24 Efficient Estimates and Optimum Inference Procedures in Large Samples (with discussion) Rao, C.R.
  15. Sankhya v.A 25 Criteria of Estimation in Large Samples Rao, C.R.
  16. The Annals of Mathematical Statistics v.43 Estimating the Size of a Multinomial Population Sanathanan, L.P.
  17. Journal of the American Statistical Association v.72 Estimating the Size of a Truncated Sample Sanathanan, L.P.
  18. Communications in Statistics v.A 9 Estimating the Size of a Truncated Sample Watson, D.;Blumenthal, S.
  19. Journal of the Korean Statistical Society v.20 On Estimating the Distributional parameter and the Complete Sample Size from Incomplete Samples Yeo, S.C.