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- W2011492351 abstract "The binomial group-testing problem is extended to the case in which the common probability p of a unit being defective is unknown. A Bayes “non-mixing” procedure R (1) is derived and compared with other procedures, in particular with the corresponding procedure R 1 that requires the knowledge of p and with another procedure based on continually revising the maximum likelihood estimate of p; the latter is called an empirical Bayes solution. Finally, a Bayes procedure derived in the Appendix allows “mixing” and this is conjectured to be the unrestricted Bayes solution; the improvements due to “mixing” are shown to be small in Table III. Several applications of the general problem of group-testing are discussed in the introduction and this virtually constitutes a general review of the subject. After the procedure R (1) is defined a detailed illustration is given in section 2.1 showing how to carry out this procedure with the use of Tables I and II. Lower bounds for the Bayes risk associated with any group te..." @default.
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- W2011492351 date "1966-11-01" @default.
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- W2011492351 title "Binomial Group-Testing with an Unknown Proportion of Defectives" @default.
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