Mathematical Interrelationships Between Milk Constituents and Yields

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Abstract
Because measurements of milk composition are generated from other direct measures, mathematical relationships underly them. These were demonstrated for several, but not all, relationships of interest for milk composition. No new mathematical concepts are required for their development. Expected values were obtained by the moment generating function of multivariate normal distribution. Shown are means, variances and covariances of various combinations of milk yield, specific gravity and percents fat, protein, solids-not-fat and lactose-mineral. Results are applicable to genetic and phenotypic parameters.