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THE EXPECTED NUMBERS OF UNRESOLVED POSITIVE CLONES FOR VARIOUS RANDOM POOL DESIGNS

Published online by Cambridge University Press:  07 February 2001

F. K. Hwang  and
Y. C. Liu
F. K. Hwang
Affiliation:
Department of Applied Mathematics, National Chiao Tung University, Hsinchu 300, Taiwan, Republic of China, E-mail: fhwang@math.nctu.edu.tw
Y. C. Liu
Affiliation:
Department of Applied Mathematics, National Chiao Tung University, Hsinchu 300, Taiwan, Republic of China, E-mail: u8722518@math.nctu.edu.tw
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Abstract

A pool design is random if it varies according to a probability distribution. There are four types of random design proposed in the literature: random incidence design, random k-set design, random distinct k-set design, and random k-size design. Recently Hwang gave an approximation to estimate the number of unresolved positives for random distinct k-set design. In this article, we give exact formulas for all four types of random designs for estimating the number of unresolved positives. We also do some numerical comparisons of the four designs.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 15 , Issue 1 , January 2001 , pp. 57 - 68
Copyright
© 2001 Cambridge University Press

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