Statistical inference for a class of modified power series distributions with applications to random mapping theory
Författare
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.
Avdelning/ar
Publiceringsår
1991
Språk
Engelska
Sidor
247-261
Publikation/Tidskrift/Serie
Journal of Statistical Planning and Inference
Volym
28
Issue
2
Dokumenttyp
Artikel i tidskrift
Förlag
North-Holland
Ämne
- Probability Theory and Statistics
Nyckelord
- random mapping model
- unbiased estimation
- Lagrange expansion
- modified power series distribution
- combinatorial numbers.
Status
Published
ISBN/ISSN/Övrigt
- ISSN: 1873-1171