881
Views
16
CrossRef citations to date
0
Altmetric
Theory and Methods

Exact Optimal Confidence Intervals for Hypergeometric Parameters

Pages 1491-1499 | Received 01 May 2013, Published online: 15 Jan 2016

REFERENCES

  • Agresti, A., and Coull, B.A. (1998), “Approximate is Better Than ‘Exact’ for Interval Estimation of Binomial Proportions,” The American Statistician, 52, 119–126.
  • Bailey, N. T.J. (1951), “On Estimating the Size of Mobile Populations From Recapture Data,” Biometrika, 38, 293–306.
  • Bonett, D.G. (1988), “Small Sample Bias and Variance of Lincoln-Petersen and Bailey Estimators,” Biometrical Journal, 30, 723–727.
  • Buonaccorsi, J.P. (1987), “A Note on Confidence Intervals for Proportions in Finite Populations,” The American Statistician, 41, 215–218.
  • Brown, L.D., Cai, T.T., and DasGupta, A. (2001), “Interval Estimation for a Binomial Proportion,” Statistical Sciences, 16, 101–133.
  • Casella, G. (1986), “Refining Binomial Confidence Intervals,” The Canadian Journal of Statistics, 14, 113–129.
  • Chapman, D.G. (1951), “Some Properties of the Hypergeometric Distribution with Application to Zoological Sample Censuses,” University of California Publications in Statistics, 1, 131–160.
  • Cochran, W.G. (1977), Sampling Techniques (3rd ed.), New York: Wiley.
  • Huwang, L. (1995), “A Note on the Accuracy of an Approximate Interval for the Binomial Parameter,” Statistics & Probability Letters, 24, 177–180.
  • Konijn, H.S. (1973), Statistical Theory of Sample Survey Design and Analysis, Amsterdam: North-Holland.
  • Lincoln, F.C. (1930), “Calculating Waterfowl Abundance on the Basis of Banding Returns,” Circular number 118, U.S. Department of Agriculture, Washington, DC.
  • Newcombe, R.G. (1998), “Two-Sided Confidence Intervals for the Single Proportion: Comparison of Seven Methods,” Statistics in Medicine, 17, 857–872.
  • Petersen, C. G.J. (1896), “The Yearly Immigration of Young Plaice into the Limfjord From the German Sea,” Report to the Danish Biological Station, 6, 5–48.
  • Pires, A.M., and Amado, C. (2008), “Interval Estimators for a Binomial Proportion: Comparison of Twenty Methods,” Revstat-Statistical Journal, 6, 165–197.
  • Pollock, K.H., Nichols, J.D., Brownie, C., and Hines, J.E. (1990), “Statistical Inference for Capture-Recapture Experiments,” Wildlife Society Monographs, 107, 1–97.
  • Seber, G. A.F. (1982), The Estimation of Animal Abundance (2nd ed.), London: Griffin.
  • ——— (1986), “A Review of Estimating Animal Abundance,” Biometrics, 42, 267–292.
  • ——— (1992), “A Review of Estimating Animal Abundance: II,” International Statistical Review, 60, 129–166.
  • Sekar, C.C., and Deming, W.E. (1949), “On a Method of Estimating Birth and Death Rates and Extent of Registration,” Journal of the American Statistical Association, 44, 101–115.
  • Thompson, S.K. (2002), Sampling (2nd ed.), New York: Wiley.
  • Wang, H. (2007), “Exact Confidence Coefficients of Confidence Intervals for a Binomial Proportion,” Statistica Sinica, 17, 361–368.
  • Wang, W. (2006), “Smallest Confidence Intervals for One Binomial Proportion,” Journal of Statistical Planning and Inference, 136, 4293–4306.
  • Wang, W. (2010), “On Construction of the Smallest One-sided Confidence Interval for the Difference of Two Proportions,” The Annals of Statistics, 38, 1227–1243.
  • Wilson, E.B. (1927), “Probable Inference, the Law of Succession, and Statistical Inference,” Journal of the American Statistical Association, 22, 209–212.
  • Wittes, J.T. (1972), “Note: On the Bias and Estimated Variance of Chapman’s Two-Sample Capture-Recapture Population Estimate,” Biometrics, 28, 592–597.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.