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

Daniel Zelterman

Statistics & Probability Letters, 2006, vol. 76, issue 1, 1-9

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.

Keywords: Multivariate; discrete; distribution; Serial; dilution (search for similar items in EconPapers)
Date: 2006
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