Geiger Counter-Type Pólya–Eggenberger Distributions
Kanwar Sen, Manju Lata Agarwal, Sonali Bhattacharya · Communication in Statistics- Theory and Methods · 2015
Motivated by the paper of Dandekar (1955), a one-urn model with Polya–Eggenberger sampling scheme is developed, which yields a large number of discrete distributions, including the Dandekar's modified binomial distribution, as particular cases. The model is further modified to some new generalized distributions of order k. Some probable applications of these models were discussed in Dandekar (1955) and Feller (1968) in fields of fertility study and radioactivity. It also has applications in premium determination in insurance sector.