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A GENERAL APPROACH TO COMPUTE THE PROBABILITIES OF UNRESOLVED CLONES IN RANDOM POOLING DESIGNS

Published online by Cambridge University Press:  16 April 2004

F. K. Hwang  and
Y. C. Liu
F. K. Hwang
Affiliation:
Department of Applied Mathematics, National Chiao Tung University, Hsinchu 30050 Taiwan, Republic of China, E-mail: fhwang@math.nctu.edu.tw;, u8722518@math.nctu.edu.tw
Y. C. Liu
Affiliation:
Department of Applied Mathematics, National Chiao Tung University, Hsinchu 30050 Taiwan, Republic of China, E-mail: fhwang@math.nctu.edu.tw;, u8722518@math.nctu.edu.tw
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Abstract

In this paper, we develop a general approach to compute the probabilities of unresolved clones in random pooling designs. This unified and systematic approach gives better insight for handling the dependency issue among the columns and among the rows. Consequently, we identify some faster computation formulas for four random pooling designs proposed in the literature, and we derive some probability distribution functions of the number of unresolved clones that were not available before.

Information

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 18 , Issue 2 , April 2004 , pp. 161 - 183
Copyright
© 2004 Cambridge University Press

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Footnotes

Partially supported by Republic of China, National Science Council grant NSC 90-2115-M-009-027.

References

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