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Volumn 19, Issue 3, 2009, Pages 1095-1117

A geometric approach to confidence sets for ratios: Fieller's theorem, generalizations and bootstrap

Author keywords

Bootstrap; Confidence interval; Fieller's theorem; Index variable; Ratio

Indexed keywords


EID: 70349235547     PISSN: 10170405     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (23)

References (36)
  • 1
    • 0000911056 scopus 로고
    • Bootstrap of the mean in the infinite variance case
    • Athreya, K. B. (1987). Bootstrap of the mean in the infinite variance case. Ann. Statist. 15, 724-731.
    • (1987) Ann. Statist. , vol.15 , pp. 724-731
    • Athreya, K.B.1
  • 2
    • 0005219878 scopus 로고
    • Some uses of computers in operational research
    • Beale, E. M. L. (1962). Some uses of computers in operational research. Industrielle Organisation 31, 51-52.
    • (1962) Industrielle Organisation , vol.31 , pp. 51-52
    • Beale, E.M.L.1
  • 3
    • 0012879182 scopus 로고    scopus 로고
    • Fieller's theorem
    • (Edited by A. H. El-Shaarawi and W. W. Piegorsch), Wiley, New York
    • Buonaccorsi, J. P. (2001). Fieller's theorem. In Encyclopedia of Environmetrics (Edited by A. H. El-Shaarawi and W. W. Piegorsch), 773-775. Wiley, New York.
    • (2001) Encyclopedia of Environmetrics , pp. 773-775
    • Buonaccorsi, J.P.1
  • 4
    • 34147121344 scopus 로고
    • A comparison of confidence-regions and designs in estimation of a ratio
    • Buonaccorsi, J. P. and Iyer, H. K. (1984). A comparison of confidence-regions and designs in estimation of a ratio. Comm. Statist. Simulation Comput. 13, 723-741.
    • (1984) Comm. Statist. Simulation Comput. , vol.13 , pp. 723-741
    • Buonaccorsi, J.P.1    Iyer, H.K.2
  • 6
    • 0039050246 scopus 로고
    • Efficiencies of 6 almost unbiased ratio estimators under a particular model
    • Dalabehera, M. and Sahoo, L. N. (1995). Efficiencies of 6 almost unbiased ratio estimators under a particular model. Statist. Papers 36, 61-67.
    • (1995) Statist. Papers , vol.36 , pp. 61-67
    • Dalabehera, M.1    Sahoo, L.N.2
  • 8
    • 0001064196 scopus 로고
    • A note on the application of Quenouille's method of bias reduction to the estimation of ratios
    • Durbin, J. (1959). A note on the application of Quenouille's method of bias reduction to the estimation of ratios. Biometrika 46, 477-480.
    • (1959) Biometrika , vol.46 , pp. 477-480
    • Durbin, J.1
  • 9
    • 0039441340 scopus 로고
    • On the projections of istotropic distributions
    • Eaton, M. (1981). On the projections of istotropic distributions. Ann. Statist. 9, 391-400.
    • (1981) Ann. Statist. , vol.9 , pp. 391-400
    • Eaton, M.1
  • 10
    • 0002344794 scopus 로고
    • Bootstrap methods: Another look at the jackknife
    • Efron, B. (1979). Bootstrap methods: Another look at the jackknife. Ann. Statist. 7, 1-26.
    • (1979) Ann. Statist. , vol.7 , pp. 1-26
    • Efron, B.1
  • 13
    • 0000420408 scopus 로고
    • The distribution of the index in a normal bivariate population
    • Fieller, E. (1932). The distribution of the index in a normal bivariate population. Biometrika 24, 428-440.
    • (1932) Biometrika , vol.24 , pp. 428-440
    • Fieller, E.1
  • 15
    • 0000063441 scopus 로고
    • A fundamental formula in the statistics of biological assays and some applications
    • Fieller, E. (1944). A fundamental formula in the statistics of biological assays and some applications. Quarterly J. Pharmacy and Pharmacology 17, 117-123.
    • (1944) Quarterly J. Pharmacy and Pharmacology , vol.17 , pp. 117-123
    • Fieller, E.1
  • 16
    • 0000991825 scopus 로고
    • Some problems in interval estimation
    • Fieller, E. (1954). Some problems in interval estimation. J. Roy. Statist. Soe. Ser. B 16, 175-185.
    • (1954) J. Roy. Statist. Soe. Ser. B , vol.16 , pp. 175-185
    • Fieller, E.1
  • 19
    • 0000769201 scopus 로고
    • The nonexistence of 100(l-alpha)-percent confidence sets of finite expected diameter in errors-in-variables and related models
    • Gleser, L. J. and Hwang, J. T. (1987). The nonexistence of 100(l-alpha)-percent confidence sets of finite expected diameter in errors-in-variables and related models. Ann. Statist. 15, 1351-1362.
    • (1987) Ann. Statist. , vol.15 , pp. 1351-1362
    • Gleser, L.J.1    Hwang, J.T.2
  • 20
    • 84982004407 scopus 로고
    • Some remarks on the estimation of the ratio of the expectation values of a two-dimensional normal random variable (correction of the Theorem of Milliken)
    • Guiard, V. (1989). Some remarks on the estimation of the ratio of the expectation values of a two-dimensional normal random variable (correction of the Theorem of Milliken). Biometrical J. 31, 681-697.
    • (1989) Biometrical J. , vol.31 , pp. 681-697
    • Guiard, V.1
  • 21
    • 0013252196 scopus 로고    scopus 로고
    • On bootstrap estimation of the distribution of the studentized mean
    • Hall, P. and LePage, R. (1996). On bootstrap estimation of the distribution of the studentized mean. Ann. Inst. Statist. Math. 48, 403-421. (Pubitemid 126463917)
    • (1996) Annals of the Institute of Statistical Mathematics , vol.48 , Issue.3 , pp. 403-421
    • Hall, P.1    Lepage, R.2
  • 22
    • 0000841986 scopus 로고
    • Fieller's problems and resampling techniques
    • Hwang, J. T. G. (1995). Fieller's problems and resampling techniques. Statist. Sinica 5,161-171.
    • (1995) Statist. Sinica , vol.5 , pp. 161-171
    • Hwang, J.T.G.1
  • 25
    • 0000660002 scopus 로고
    • On the bootstrap of the sample mean in the infinite variance case
    • Knight, K. (1989). On the bootstrap of the sample mean in the infinite variance case. Ann. Statist. 17, 1168-1175.
    • (1989) Ann. Statist. , vol.17 , pp. 1168-1175
    • Knight, K.1
  • 26
    • 0142214321 scopus 로고
    • A characterization of the Fieller solution
    • Koschat, M. A. (1987). A characterization of the Fieller solution. Ann. Statist. 15, 462-468.
    • (1987) Ann. Statist. , vol.15 , pp. 462-468
    • Koschat, M.A.1
  • 28
    • 70349260919 scopus 로고
    • On a confidence interval about a parameter estimated by a ratio of normal random variables
    • Milliken, G. (1982). On a confidence interval about a parameter estimated by a ratio of normal random variables. Comm. Statist. Theory Methods 11, 1985-1995.
    • (1982) Comm. Statist. Theory Methods , vol.11 , pp. 1985-1995
    • Milliken, G.1
  • 29
    • 0141630331 scopus 로고
    • Efficiencies of 9 2-phase ratio estimators for the mean
    • Rao, P. S. R. S. (1981). Efficiencies of 9 2-phase ratio estimators for the mean. J. Amer. Statist. Assoc. 76, 434-442.
    • (1981) J. Amer. Statist. Assoc. , vol.76 , pp. 434-442
    • Rao, P.S.R.S.1
  • 31
    • 0033473920 scopus 로고    scopus 로고
    • Subsampling inference for the mean in the heavy-tailed case
    • Romano, J. and Wolf, M. (1999). Subsampling inference for the mean in the heavy-tailed case. Metrika 50, 55-69.
    • (1999) Metrika , vol.50 , pp. 55-69
    • Romano, J.1    Wolf, M.2
  • 34
    • 0006470120 scopus 로고
    • Comparison of some ratio estimators
    • Tin, M. (1965). Comparison of some ratio estimators. J. Amer. Statist. Assoc. 60, 294-307.
    • (1965) J. Amer. Statist. Assoc. , vol.60 , pp. 294-307
    • Tin, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.