ABSTRACT

The approach using the negative b inomia l c l a im number dis t r ibu-

t ion is, par t icular ly i n the context of risk theory considerations,

associated wi th the name of P o l y a . H e , together wi th Eggenberger

(1923), derived it for the contaminat ion model . The models based

on the Po isson law and the negative b inomia l are often referred to

briefly as the Poisson case and the Polya case.