Abstract
A three‐parameter generalisation of the beta‐binomial distribution (BBD) derived by Chandon (1976) is examined. We obtain the maximum likelihood estimates of the parameters and give the elements of the information matrix. To exhibit the applicability of the generalised distribution we show how it gives an improved fit over the BBD for magazine exposure and consumer purchasing data. Finally we derive an empirical Bayes estimate of a binomial proportion based on the generalised beta distribution used in this study.
| Original language | English |
|---|---|
| Pages (from-to) | 263-275 |
| Number of pages | 13 |
| Journal | Australian Journal of Statistics |
| Volume | 30 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 1 Jan 1988 |
| Externally published | Yes |
Keywords
- >Binomial
- beta‐binomial
- effective reach.
- empirical Bayes
- magazine reach
- modified beta‐binomial