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Normal order statistics and sums of geometric random variables in treatment allocation problems

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  • Rukhin, Andrew L.

Abstract

The target fulfillment instants of two balanced randomization procedures for several treatments are studied under a general (non-uniform) allocation scheme. Their limiting distributions are shown to be related to the normal order statistics with different variances and to the sums of independent geometric random variables.

Suggested Citation

  • Rukhin, Andrew L., 2007. "Normal order statistics and sums of geometric random variables in treatment allocation problems," Statistics & Probability Letters, Elsevier, vol. 77(12), pages 1312-1321, July.
  • Handle: RePEc:eee:stapro:v:77:y:2007:i:12:p:1312-1321
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    References listed on IDEAS

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    1. Rukhin, Andrew. L., 2003. "Covariance identity for multinomial trials," Statistics & Probability Letters, Elsevier, vol. 63(1), pages 107-112, May.
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