Whereas numerous bivariate discrete distributions are used in the statistic field
(KOCHERLAKOTA and KOCHERLAKOTA, 1992), only a few of them, apart from the
bwarlate Polsson distribution, have been applied in the insurance field. It ~s worth
noting the studys by PICARD (1976), LEMAIRE ([985) and PARTRAT (1993)
In this paper, we discuss the b~vanate generahTed Po~sson distnbutton (BGPD) m
detad. The distnbuuon is derived from the generahzed Po~sson distribution (CONSUL,
1989; AMBAGASPITIYA and BALAKRISHNAN, 1994) u~mg the tnvarmte reduction method.
In section 2 we present some properties of the BGPD The method of moments is
used m section 3 for estimation of the parameters We dlustrate the usage of this method
through two exarnples m section 4