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Some asymptotic results for the induced selection differential

Published online by Cambridge University Press:  14 July 2016

H. N. Nagaraja
H. N. Nagaraja*
Affiliation:
The Ohio State University
*
∗ Postal address: Department of Statistics, The Ohio State University, 128 Cockins Hall, 1958 Neil Avenue, Columbus, OH 43210, U.S.A.
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Abstract

We define induced selection differential and discuss asymptotic distribution theory for this quantity. We also obtain the asymptotic joint distribution of the selection differential and the induced selection differential. These are used as measures of improvement in genetic selection programs. We consider the linear regression model set up in detail to obtain various possible limit laws for the induced selection differential.

Keywords

ORDER STATISTICSSELECTION DIFFERENTIALINDUCED SELECTION DIFFERENTIAL
Type
Research Papers
Information
Journal of Applied Probability , Volume 19 , Issue 2 , June 1982 , pp. 253 - 261
Copyright
Copyright © Applied Probability Trust 1982 

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