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Volumn 19, Issue 3, 2009, Pages 905-923

Tolerance intervals for discrete distributions in exponential families

Author keywords

Coverage probability; Edgeworth expansion; Exponential family; Probability matching; Tolerance interval

Indexed keywords


EID: 69449089994     PISSN: 10170405     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (31)

References (23)
  • 1
    • 0032377357 scopus 로고    scopus 로고
    • 'exact' for interval estimation of binomial proportions
    • Agresti, A. and Coull, B. (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.2
  • 4
    • 0036101724 scopus 로고    scopus 로고
    • Confidence intervals for a binomial proportion and asymptotic expansions
    • DOI 10.1214/aos/1015362189
    • Brown, L. D., Cai, T. and DasGupta, A. (2002). Confidence intervals for a binomial proportion and Edgeworth expansions. Ann. Statist. 30, 160-201. (Pubitemid 37095373)
    • (2002) Annals of Statistics , vol.30 , Issue.1 , pp. 160-201
    • Brown, L.D.1    Cai, T.T.2    Dasgupta, A.3
  • 5
    • 0038374833 scopus 로고    scopus 로고
    • Interval estimation in exponential families
    • Brown, L. D., Cai, T. and DasGupta, A. (2003). Interval estimation in exponential families. Statistica Sinica 13, 19-49.
    • (2003) Statistica Sinica , vol.13 , pp. 19-49
    • Brown, L.D.1    Cai, T.2    Dasgupta, A.3
  • 6
    • 13344280339 scopus 로고    scopus 로고
    • One-sided confidence intervals in discrete distributions
    • Cai, T. (2005). One-sided confidence intervals in discrete distributions. J. Statist. Plann. Inference 131, 63-88.
    • (2005) J. Statist. Plann. Inference , vol.131 , pp. 63-88
    • Cai, T.1
  • 7
    • 70349242413 scopus 로고
    • An accuracy criterion for Bayesian tolerance intervals
    • Easterling, R. G. and Weeks, D. L. (1970). An accuracy criterion for Bayesian tolerance intervals. J. Roy. Statist. Soc. Ser. B 32, 236-240.
    • (1970) J. Roy. Statist. Soc. Ser. B , vol.32 , pp. 236-240
    • Easterling, R.G.1    Weeks, D.L.2
  • 8
    • 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
  • 9
    • 70349259408 scopus 로고
    • NSF-CBMS Regional Conference Series, Institute of Mathematical Statistics, Hayward
    • Ghosh, J. K. (1994). Higher Order Asymptotics. NSF-CBMS Regional Conference Series, Institute of Mathematical Statistics, Hayward.
    • (1994) Higher Order Asymptotics.
    • Ghosh, J.K.1
  • 10
    • 13344257024 scopus 로고    scopus 로고
    • "Interval estimation for a binomial proportion" by L. Brown, T. Cai and A. DasGupta
    • Ghosh, M. (2001). Comment on "Interval estimation for a binomial proportion" by L. Brown, T. Cai and A. DasGupta. Statist. Sci. 16, 124-125.
    • (2001) Statist. Sci , vol.16 , pp. 124-125
    • Ghosh, M.1
  • 11
    • 0344169060 scopus 로고
    • Tolerance intervals for Poisson and binomial variables
    • Hahn, G. J. and Chandra, R. (1981). Tolerance intervals for Poisson and binomial variables. J. Quality Tech. 13, 100-110.
    • (1981) J. Quality Tech , vol.13 , pp. 100-110
    • Hahn, G.J.1    Chandra, R.2
  • 13
    • 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, 647-652
    • (1982) Biometrika , vol.69 , pp. 647-652
    • Hall, P.1
  • 14
    • 84980175197 scopus 로고
    • Tolerance limits which control percentages in both tails: Sampling from mixtures of normal distributions
    • Kocherlakota, S. and Balakrishnan, N. (1986). Tolerance limits which control percentages in both tails: sampling from mixtures of normal distributions. Biometrical J. 28, 209-217.
    • (1986) Biometrical J , vol.28 , pp. 209-217
    • Kocherlakota, S.1    Balakrishnan, N.2
  • 15
    • 1542680936 scopus 로고    scopus 로고
    • One-sided tolerance limits in balanced and unbalanced one-way random models based on generalized confidence intervals
    • Krishnamoorthy, K. and Mathew, T.(2004). One-sided tolerance limits in balanced and unbalanced one-way random models based on generalized confidence intervals. Technometrics 46, 44-52.
    • (2004) Technometrics , vol.46 , pp. 44-52
    • Krishnamoorthy, K.1    Mathew, T.2
  • 16
    • 0002233396 scopus 로고
    • Natural exponential families with quadratic variance functions
    • Morris, C. N. (1982). Natural exponential families with quadratic variance functions. Ann. Statist. 10, 65-80.
    • (1982) Ann. Statist , vol.10 , pp. 65-80
    • Morris, C.N.1
  • 17
    • 33746271915 scopus 로고    scopus 로고
    • Second-order probability matching priors for a parametric function with application to Bayesian tolerance limits
    • Mukerjee,R.andReid,N.(2001).Second- orderprobabilitymatchingpriorsforaparametricfunctionwithapplication- Bayesiantolerancelimits.Biometrika8,587-592.(Pubitemid33771008)
    • (2001) Biometrika , vol.88 , Issue.2 , pp. 587-592
    • Mukerjee, R.1    Reid, N.2
  • 19
    • 0038230283 scopus 로고
    • New methods for one-sided tolerance limits for a one-way balanced random-effects ANOVA model
    • Vangel, M. G. (1992). New methods for one-sided tolerance limits for a one-way balanced random-effects ANOVA model. Technometrics 34, 176-185.
    • (1992) Technometrics , vol.34 , pp. 176-185
    • Vangel, M.G.1
  • 20
    • 0000689040 scopus 로고
    • Tolerance limits for normal distribution
    • WaId, A. and Wolfowitz, J. (1946). Tolerance limits for normal distribution. Ann. Math. Statist. 17, 208-215.
    • (1946) Ann. Math. Statist , vol.17 , pp. 208-215
    • Waid, A.1    Wolfowitz, J.2
  • 21
    • 0002765765 scopus 로고
    • Determination of sample sizes for setting tolerance limits
    • Wilks, S. S. (1941). Determination of sample sizes for setting tolerance limits. Ann. Math. Statist. 12, 91-96.
    • (1941) Ann. Math. Statist , vol.12 , pp. 91-96
    • Wilks, S.S.1
  • 22
    • 0000929266 scopus 로고
    • Statistical prediction with special reference to the problem of tolerance limits
    • Wilks, S. S. (1942). Statistical prediction with special reference to the problem of tolerance limits. Ann. Math. Statist. 13, 400-409.
    • (1942) Ann. Math. Statist , vol.13 , pp. 400-409
    • Wilks, S.S.1
  • 23
    • 0345162745 scopus 로고
    • Uniformly most accurate upper tolerance limits for monotone likelihood ratio families of discrete distributions
    • Zacks, S. (1970). Uniformly most accurate upper tolerance limits for monotone likelihood ratio families of discrete distributions. J. Amer. Statist. Assoc. 65, 307-316.
    • (1970) J. Amer. Statist. Assoc , vol.65 , pp. 307-316
    • Zacks, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.