Bootstrap Confidence Intervals for a One Parameter Model using Multinomial Sampling

  • Jeong, Hyeong-Chul (Department of Computer Science & Statistics, Pyongtaek University) ;
  • Kim, Dae-Hak (Department of Statistics, Catholic University of Taegu-Hyosung)
  • 발행 : 1999.10.31

초록

We considered a bootstrap method for constructing confidenc intervals for a one parameter model using multinomial sampling. The convergence rates or the proposed bootstrap method are calculated for model-based maximum likelihood estimators(MLE) using multinomial sampling. Monte Carlo simulation was used to compare the performance of bootstrap methods with normal approximations in terms of the average coverage probability criterion.

키워드

참고문헌

  1. The American statistician v.52 Approximation is better than "exact" for interval estimation of binomial proportions Agresti, A.;Brent, A. C.
  2. The Annals of Statistics v.9 On the asymptotic accuracy of Efron's bootstrap Singh, K.
  3. Statistics Probability Letters v.7 Singh's theorem in the lattice case Woodroofe, M.;Jhun, M.