Publication Cover
Statistics
A Journal of Theoretical and Applied Statistics
Volume 41, 2007 - Issue 1
46
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

Randomization with non-uniform allocations: fulfillment time distributions and bias properties

Pages 11-29 | Received 04 Oct 2005, Published online: 12 Mar 2007

References

  • Johnson , N. L. and Kotz , S. 1977 . Urn Models and Their Applications. An Approach to Modern Discrete Probability Theory , Wiley : New York .
  • Anderson , K. , Sobel , M. and Uppuluri , R. R. 1982 . Quota fulfillment times . Canadian Journal of Statistics , 10 : 73 – 88 .
  • Holst , L. 1986 . On birthday, collectors', occupancy and other classical urn problems . International Statistical Review , 54 : 15 – 27 .
  • Blackwell , D. and Hodges , J. L. Jr. 1957 . Design for the control of selection bias . Annals of Mathematical Statistics , 28 : 449 – 460 .
  • Stigler , S. M. 1969 . The use of random allocation for the control of selection bias . Biometrika , 56 : 553 – 560 .
  • Wei , L. J. 1978 . On the random allocation design for the control of selection bias in sequential experiments . Biometrika , 65 : 79 – 84 .
  • Rosenberger , W. F. and Rukhin , A. L. 2002 . Bias properties and nonparametric inference for truncated binomial randomization . Journal of Nonparametric Statistics , 15 : 455 – 465 .
  • Rosenberger , W. F. and Lachin , J. M. 2002 . Randomization in Clinical Trials: Theory and Practice , Wiley : New York .
  • Diaconis , P. and Graham , R. L. 1981 . The analysis of sequential experiments with feedback to subjects . Annals of Statistics , 9 : 3 – 23 .
  • Rukhin , A. L. 2004 . Limiting distributions in sequential occupancy problems . Sequential Analysis , 23 : 141 – 158 .
  • Rukhin , A. L. 2006 . Gamma-distribution order statistics, maximal multinomial frequency and randomization designs . Journal of Statistical Planning and Inference , 136 : 2213 – 2226 .
  • Feller , W. 1968 . An Introduction to Probability Theory and Its Applications , Vol. I , Wiley : New York .
  • Blom , G. , Holst , L. and Sandell , D. 1994 . Problems and Snapshots from the World of Probability , Springer : New York .
  • Efron , B. 1971 . Forcing a sequential experiment to be balanced . Biometrika , 58 : 403 – 417 .

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.