71
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

Approximate Confidence Limits for a Proportion of the Pólya Distribution

, , &
Pages 1601-1619 | Received 27 Sep 2009, Accepted 12 Jan 2010, Published online: 26 Feb 2011

References

  • Agresti , A. , Coull , B. A. ( 1998 ). Approximate is better than “exact” for interval estimation of binomial proportions . Amer. Statistician 52 : 119 – 126 .
  • Anderson , T. W. , Burstein , H. (1967). Approximating the upper binomial confidence limit. J. Amer. Statist. Assoc. 62:857–861.
  • Anderson , T. W. , Burstein , H. ( 1968 ). Approximating the lower binomial confidence limit . J. Amer. Statist. Assoc. 63 : 1413 – 1415 .
  • Brown , L. D. ( 2008 ). In-season prediction of battling averages: A field test of empirical Bayes and hierarchical Bayes methodologies . Annals of Applied Statistics 2 : 113 – 152 .
  • Brown , L. D. , Cai , T. T. , DasGupta , A. ( 2001 ). Interval estimation for a binomial proportion. With comments and a rejoinder by the authors . Statist. Sci. 16 : 101 – 133 .
  • Brown , L. D. , Cai , T. T. , DasGupta , A. ( 2002 ). Confidence intervals for a binomial proportion and asymptotic expansions . Ann. Statist. 30 : 160 – 201 .
  • Brown , L. D. , Cai , T. T. , DasGupta , A. ( 2003 ). Interval estimation for a binomial proportion. With comments and a rejoinder by the authors . Statistica Sinica 13 : 19 – 49 .
  • Brown , L. D. , Cai , T. , Zhang , R. , Zhao , L. H. , Zhou , H. H. ( 2010 ). The root-unroot algorithm for density estimation as implemented via wavelet block thresholding. To appear in Probab. Theor. Related Fields 146:401–433 .
  • Cai , T. T. ( 2005 ). One sided confidence intervals in discrete distributions . J. Statist. Plann. Infer. 131 : 63 – 88 .
  • Cramer , G. ( 1946 ). Mathematical Methods of Statistics . Princeton , NJ : Princeton University Press .
  • Curtiss , J. H. ( 1943 ). On transformations used in the analysis of variance . Ann. Math. Statist. 14 : 107 – 122 .
  • Feigin , P. D. , Lumelskii , Ya. P. ( 2000 ). On confidence limits for the difference of two binomial parameters . Commun. Statist. Theor. Meth. 29 : 131 – 141 .
  • Finner , H. ( 1994 ). Two-sided tests and one-sided confidence bounds . Ann. Statist. 22 : 1502 – 1516 .
  • Fujino , Y. ( 1980 ). Approximate binomial confidence limits . Biometrika 67 : 677 – 681 .
  • Ghosh , B. K. ( 1979 ). A comparison of some approximate confidence intervals for the binomial parameter . J. Amer. Statist. Assoc. 74 : 894 – 900 .
  • Janardan , K. G. , Patil , G. P. ( 1972 ). A unified approach for a class of multivariare hypergeometric models . Sankhya A 34 : 363 – 376 .
  • Johnson , N. L. , Kotz , S. , Balakrishnan , N. ( 1997 ). Discrete Multivariate Distributions . New York : John Wiley and Sons .
  • Kolmogorov , A. N. ( 1950 ). Unbiased estimates . Izv. Akad. Nauk SSSR, Ser. Math. 4 : 303 – 326 .
  • Liu , Y. , Batcher , M. , Rotz , W. ( 2001 ). Application of the hypergeometric distribution in a special case of rare events. Proc. Ann. Meeting Amer. Statist. Assoc. August 5–9, Atlanta, GA .
  • Lumelskii , Ya. P. ( 1973 ). Random walks related to generalized urn schemes . Soviet Math. Dokl. 14 ( 2 ): 628 – 632 .
  • Lumelskii , Ya. P. , Lvovskii , Ya. M. ( 1979 ). Asymptotic formulas for multidimensional Pólya distributions . Soviet Math. Dokl. 20 ( 3 ): 494 – 498 .
  • Lumelskii , Ya. , Voinov , V. , Nikulin , M. , Feigin , P. ( 2007 ). On a generalization of the classical random sampling scheme and unbiased estimation . Commun. Statist. Theor. Meth. 36 : 693 – 705 .
  • Markov , A. A. ( 1951 ). Izbrannie Trudi. Selected Works. Number Theory. Probability Theory . Moscow : Publishing Company of the USSR Academy .
  • Voinov , V. G. , Nikulin , M. S. ( 1993 ). Unbiased Estimators and Their Applications. Volume 1: Univariate Case . Dordrecht : Kluwer .

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.