Statistical inference for a class of modified power series distributions with applications to random mapping theory
Author
Summary, in English
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.
Department/s
Publishing year
1991
Language
English
Pages
247-261
Publication/Series
Journal of Statistical Planning and Inference
Volume
28
Issue
2
Document type
Journal article
Publisher
North-Holland
Topic
- Probability Theory and Statistics
Keywords
- random mapping model
- unbiased estimation
- Lagrange expansion
- modified power series distribution
- combinatorial numbers.
Status
Published
ISBN/ISSN/Other
- ISSN: 1873-1171