title: A class of distributions applicable to the description of the number of nematodes parasitizing birds.
abstract: We define the class of bivariate binomial distributions as Poisson distributions transformed by a binomial dilution and mixing with a gamma distribution. They are used to study the number of nematodes, considering the sex ratio, parasitizing birds.
authors.affiliation: Mathematical Institute, University of Wrocław, pl. Grunwaldzka 2/4, 50-384 Wrocław, Poland. ibk@hera.math.uni.wroc.pl
authors.forename: I
authors.initials: I
authors.lastname: Kopocínska
authors.forename: B
authors.initials: B
authors.lastname: Kopociński
authors.forename: A
authors.initials: A
authors.lastname: Okulewicz
mesh_terms: D000818:Animals; D016010:Binomial Distribution; D001715:Bird Diseases / Q000469:parasitology*; D005260:Female; D008297:Male; D008954:Models, Biological; D009348:Nematoda / Q000254:growth & development*; D009349:Nematode Infections / Q000469:parasitology / Q000662:veterinary*; D016012:Poisson Distribution; D012744:Sex Ratio; D020308:Songbirds / Q000469:parasitology*