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An occupancy distribution arising in a limiting dilution assay for HIV-1

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  • Zelterman, Daniel

Abstract

We describe a multivariate discrete distribution arising in a Bayesian analysis and design of a serial dilution assay for HIV-1 cells as a part of a syringe exchange among injection drug users. A solution containing N living viral cells is diluted in several stages. The laboratory procedures indicate which stages contain at least one live viral cell when the dilute aliquot are fermented. We assume a gamma prior distribution on N and describe the joint multivariate marginal distribution of the outcomes of the aliquot. We provide expressions for the joint moments and graphically illustrate the univariate distribution.

Suggested Citation

  • Zelterman, Daniel, 2006. "An occupancy distribution arising in a limiting dilution assay for HIV-1," Statistics & Probability Letters, Elsevier, vol. 76(1), pages 1-9, January.
    • Handle: RePEc:eee:stapro:v:76:y:2006:i:1:p:1-9
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    References listed on IDEAS

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    1. Mei-Ling Ting Lee & G. A. Whitmore, 1999. "Statistical Inference for Serial Dilution Assay Data," Biometrics, The International Biometric Society, vol. 55(4), pages 1215-1220, December.
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    1. Andrew Gelman & Ginger L. Chew & Michael Shnaidman, 2004. "Bayesian Analysis of Serial Dilution Assays," Biometrics, The International Biometric Society, vol. 60(2), pages 407-417, June.

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