메뉴 건너뛰기




Volumn 30, Issue 1, 2002, Pages 160-201

Confidence intervals for a binomial proportion and asymptotic expansions

Author keywords

Bayes; Binomial distribution; Confidence intervals; Coverage probability; Edgeworth expansion; Expected length; Jeffreys prior; Normal approximation

Indexed keywords


EID: 0036101724     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/aos/1015362189     Document Type: Article
Times cited : (241)

References (27)
  • 1
    • 0032377357 scopus 로고    scopus 로고
    • Approximate is better than "exact" for interval estimation of binomial proportions
    • AGRESTI, A. and COULL, B. A. (1998). Approximate is better than "exact" for interval estimation of binomial proportions. Amer. Statist. 52 119-126.
    • (1998) Amer. Statist. , vol.52 , pp. 119-126
    • Agresti, A.1    Coull, B.A.2
  • 7
    • 0038552509 scopus 로고    scopus 로고
    • Interval estimation in exponential families
    • Dept. Statistics, Univ. Pennsylvania
    • BROWN, L. D., CAI, T. and DASGUPTA, A. (2000). Interval estimation in exponential families. Technical report, Dept. Statistics, Univ. Pennsylvania. Available at www-stat.wharton.upenn.edu/̃tcai/.
    • (2000) Technical Report
    • Brown, L.D.1    Cai, T.2    Dasgupta, A.3
  • 8
    • 0000460102 scopus 로고    scopus 로고
    • Interval estimation for a binomial proportion (with discussion)
    • BROWN, L. D., CAI, T. and DASGUPTA, A. (2001). Interval estimation for a binomial proportion (with discussion). Statist. Sci. 16 101-133.
    • (2001) Statist. Sci. , vol.16 , pp. 101-133
    • Brown, L.D.1    Cai, T.2    Dasgupta, A.3
  • 9
    • 21844488686 scopus 로고
    • Optimal confidence sets, bioequivalence, and the limacon of Pascal
    • BROWN, L. D., CASELLA, G. and HWANG, J. T. G. (1995). Optimal confidence sets, bioequivalence, and the limacon of Pascal. J. Amer. Statist. Assoc. 90 880-889.
    • (1995) J. Amer. Statist. Assoc. , vol.90 , pp. 880-889
    • Brown, L.D.1    Casella, G.2    Hwang, J.T.G.3
  • 10
  • 11
    • 0001072895 scopus 로고
    • The use of confidence or fiducial limits illustrated in the case of the binomial
    • CLOPPER C. J. and PEARSON, E. S. (1934). The use of confidence or fiducial limits illustrated in the case of the binomial. Biometrika 26 404-13.
    • (1934) Biometrika , vol.26 , pp. 404-413
    • Clopper, C.J.1    Pearson, E.S.2
  • 12
    • 0000109957 scopus 로고
    • Confidence intervals for a proportion
    • CROW, E. L. (1956). Confidence intervals for a proportion. Biometrika 43 423-35.
    • (1956) Biometrika , vol.43 , pp. 423-435
    • Crow, E.L.1
  • 13
    • 34250598875 scopus 로고
    • Fourier analysis of distribution functions: A mathematical study of the Laplace-Gaussian law
    • ESSEEN, C. G. (1945). Fourier analysis of distribution functions: a mathematical study of the Laplace-Gaussian law. Acta Math. 77 1-125.
    • (1945) Acta Math. , vol.77 , pp. 1-125
    • Esseen, C.G.1
  • 14
    • 0001473014 scopus 로고
    • A comparison of some approximate confidence intervals for the binomial parameter
    • GHOSH, B. K. (1979). A comparison of some approximate confidence intervals for the binomial parameter J. Amer. Stat. Assoc. 74 894-900.
    • (1979) J. Amer. Stat. Assoc. , vol.74 , pp. 894-900
    • Ghosh, B.K.1
  • 16
    • 0041908082 scopus 로고
    • Improving the normal approximation when constructing one-sided confidence intervals for binomial or Poisson parameters
    • HALL, P. (1982). Improving the normal approximation when constructing one-sided confidence intervals for binomial or Poisson parameters. Biometrika 69 647-52.
    • (1982) Biometrika , vol.69 , pp. 647-652
    • Hall, P.1
  • 19
    • 0001153759 scopus 로고
    • Asymptotic expansions associated with posterior distributions
    • JOHNSON, R. A. (1970). Asymptotic expansions associated with posterior distributions. Ann. Math. Statist. 41 851-64.
    • (1970) Ann. Math. Statist. , vol.41 , pp. 851-864
    • Johnson, R.A.1
  • 20
    • 0001482702 scopus 로고
    • Practical use of higher order asymptotics for multiparameter exponential families
    • PIERCE, D. A. and PETERS, D. (1992). Practical use of higher order asymptotics for multiparameter exponential families. J. Roy. Statist. Soc. Ser. B 54 701-725.
    • (1992) J. Roy. Statist. Soc. Ser. B , vol.54 , pp. 701-725
    • Pierce, D.A.1    Peters, D.2
  • 22
    • 85040478193 scopus 로고    scopus 로고
    • Teaching large-sample binomial confidence intervals
    • SANTNER, T. J. (1998). Teaching large-sample binomial confidence intervals. Teaching Statistics 20 20-23.
    • (1998) Teaching Statistics , vol.20 , pp. 20-23
    • Santner, T.J.1
  • 23
    • 0039726907 scopus 로고
    • Charting small sample characteristics of asymptotic confidence intervals for the binomial parameter
    • SCHADER, M. and SCHMID, F. (1990). Charting small sample characteristics of asymptotic confidence intervals for the binomial parameter p. Statist. Papers 31 251-264.
    • (1990) p. Statist. Papers , vol.31 , pp. 251-264
    • Schader, M.1    Schmid, F.2
  • 24
    • 0000226032 scopus 로고
    • Some remarks on confidence or fiducial limits
    • STERNE, T. E. (1954). Some remarks on confidence or fiducial limits. Biometrika 41 275-278.
    • (1954) Biometrika , vol.41 , pp. 275-278
    • Sterne, T.E.1
  • 25
    • 0042910166 scopus 로고
    • An inferential interpretation of default priors
    • Dept. Statistics, Carnegie Mellon Univ.
    • WASSERMAN, L. (1991). An inferential interpretation of default priors. Technical report, Dept. Statistics, Carnegie Mellon Univ.
    • (1991) Technical Report
    • Wasserman, L.1
  • 26
    • 84946650481 scopus 로고
    • Probable inference, the law of succession, and statistical inference
    • WILSON, E. B. (1927). Probable inference, the law of succession, and statistical inference. J. Amer. Statist. Assoc. 22 209-212.
    • (1927) J. Amer. Statist. Assoc. , vol.22 , pp. 209-212
    • Wilson, E.B.1
  • 27
    • 0000266172 scopus 로고
    • Very weak expansions for sequential confidence levels
    • WOODROOFE, M. (1986). Very weak expansions for sequential confidence levels. Ann. Statist. 14 1049-1067.
    • (1986) Ann. Statist. , vol.14 , pp. 1049-1067
    • Woodroofe, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.