We investigate a class of discrete distributions generated by expanding a parametric function in a Lagrange series. There is a close relationship to the class of generalized Poisson distributions, and special cases of our class of distributions arise in the context of random mapping theory. Unbiased estimation is discussed and the results are applied to inference problems in connection with two random mapping models. Umbral notation and a class of combinatorial numbers is used throughout.
|Journal||Journal of Statistical Planning and Inference|
|Publication status||Published - 1991|
Subject classification (UKÄ)
- Probability Theory and Statistics
- random mapping model
- unbiased estimation
- Lagrange expansion
- modified power series distribution
- combinatorial numbers.