Abstract
A stochastic approach is used to model the economics of a chain of price setting firms. It is assumed that these firms have fixed capacities in their products, but random demands for their products. The optimum price, the optimum revenue, and the expected marginal revenue at a given price are investigated. The method of maximum likelihood is used to provide both point and confidence interval estimates. The coverage probabilities of confidence interval estimates based on a simulation study are presented.
| Original language | English |
|---|---|
| Pages (from-to) | 553-566 |
| Number of pages | 14 |
| Journal | Journal of Modern Applied Statistical Methods |
| Volume | 4 |
| Issue number | 2 |
| DOIs | |
| State | Published - Nov 2005 |
Keywords
- Asymptotic confidence interval
- Capacity
- Gamma distribution
- Marginal revenue
- Maximum likelihood estimate (mle)
- Optimum revenue
- Poisson distribution