The Moments of a Distribution After Repeated Selection with Error
- 1 March 1972
- journal article
- research article
- Published by JSTOR in Journal of the American Statistical Association
- Vol. 67 (337) , 206
- https://doi.org/10.2307/2284725
Abstract
Multiple-stage selection from an infinite population with some known distribution is studied. A method is given for finding the exact moments of the distribution of the true yields of the varieties left after selection with error. Considerable simplification is possible where the original population is normally distributed. This simplification is a result of the use of expressions that are derived for the derivatives of a multivariate normal probability integral. Methods are indicated for numerical calculation of the resulting integrals on a computer when appropriate tables are not available.Keywords
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