1987
DOI: 10.1007/bf00289392
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Genetic evaluation of traits distributed as Poisson-binomial with reference to reproductive characters

Abstract: A procedure of genetic evaluation of reproductive traits such as litter size and survival in a polytocous species under the assumption of polygenic inheritance is described. Conditional distributions of these traits are assumed to be Poisson and Bernoulli, respectively. Using the concept of generalized linear models, logarithmic (litter size) and probit (survival) functions are described as linear combinations of "nuisance" environmental effects and of transmitting abilities of sires or individual breeding val… Show more

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Cited by 60 publications
(69 citation statements)
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“…A Poisson mixture model is sometimes used with count data [Foulley et al, 1987], but the Poisson distribution is constrained because the variance is equal to the mean. A mixture model based on the negative-binomial distribution allows more flexibility, and is therefore more appropriate for count variables with overdispersion relative to the Poisson distribution [Tempelman and Gianola, 1996].…”
Section: Methodsmentioning
confidence: 99%
“…A Poisson mixture model is sometimes used with count data [Foulley et al, 1987], but the Poisson distribution is constrained because the variance is equal to the mean. A mixture model based on the negative-binomial distribution allows more flexibility, and is therefore more appropriate for count variables with overdispersion relative to the Poisson distribution [Tempelman and Gianola, 1996].…”
Section: Methodsmentioning
confidence: 99%
“…As a working approximation, a Poisson distribution for litter size is assumed (see, e.g. Foulley et al, 1987;Matos et al, 1997), the major consequence being that the variance of litter size is taken as being equal to the mean.…”
Section: Model Of Population Growthmentioning
confidence: 99%
“…Bayesian methodology has been established as a general framework for the analysis of any type of observation arising in animal production (Foulley & Gianola, 1984;Gianola et al, 1986;H6schele et al, 1986, 1987Foulley et al, 1987aFoulley et al, , 1987b). …”
Section: Introductionmentioning
confidence: 99%