The evolution of a truncated Gaussian probability density through time: Modelling animal liveweights after selection

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dc.citation.issue11-13
dc.citation.volume38
dc.contributor.authorWake GC
dc.contributor.authorSoboleva TK
dc.contributor.authorPleasants AB
dc.date.available2003
dc.date.issued2003
dc.description.abstractThe form of the probability density derived from the evolution in time of a previously truncated frequency distribution of animal Liveweights is of interest in animal husbandry. Truncated frequency distributions arise when the heavier animals are sold for slaughter and the lighter animals retained. The demands of modern quality assurance schemes require that, given information on animal growth, the farmer is able to estimate the number of animals that would meet the specifications at some time in the future after truncation. Assuming that animal growth can be described by a linear stochastic differential equation, we derive an explicit expression for the probability density of animal Liveweights at any time after the truncation of an initial Gaussian density. It is shown that this probability density converges rapidly to a Gaussian density, so that after about 20 days of typical growth rates for lambs, the resulting density is practically indistinguishable from Gaussian.
dc.description.confidentialfalse
dc.description.publication-statusPublished
dc.format.extent1461 - 1468
dc.identifierhttp://www.sciencedirect.com/science/article/pii/S0895717703901506
dc.identifier.citationMathematical and Computer Modelling, 2003, 38 (11-13), pp. 1461 - 1468
dc.identifier.doi10.1016/S0895-7177(03)90150-6
dc.identifier.eissn0895-7177
dc.identifier.elements-id8039
dc.identifier.harvestedMassey_Dark
dc.identifier.issn0895-7177
dc.publisherElsevier
dc.publisher.urihttp://www.sciencedirect.com/science/article/pii/S0895717703901506
dc.relation.isPartOfMathematical and Computer Modelling
dc.relation.urihttps://www.sciencedirect.com/science/article/pii/S0895717703901506?via=ihub
dc.rightsUnder an Elsevier user license
dc.subjectTruncated distribution
dc.subjectTime-dependent probability density
dc.subject.anzsrc0102 Applied Mathematics
dc.subject.anzsrc0103 Numerical and Computational Mathematics
dc.subject.anzsrc0802 Computation Theory and Mathematics
dc.titleThe evolution of a truncated Gaussian probability density through time: Modelling animal liveweights after selection
dc.typeJournal article
pubs.notesNot known
pubs.organisational-group/Massey University
pubs.organisational-group/Massey University/College of Sciences
pubs.organisational-group/Massey University/College of Sciences/School of Natural and Computational Sciences
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