Statistical inference for a class of modified power series distributions with applications to random mapping theory
(1991) In Journal of Statistical Planning and Inference 28(2). p.247-261- Abstract
- 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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1781979
- author
- Berg, Sven LU and Nowicki, Krzysztof LU
- organization
- publishing date
- 1991
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- random mapping model, unbiased estimation, Lagrange expansion, modified power series distribution, combinatorial numbers.
- in
- Journal of Statistical Planning and Inference
- volume
- 28
- issue
- 2
- pages
- 247 - 261
- publisher
- North-Holland
- external identifiers
-
- scopus:0013483329
- ISSN
- 1873-1171
- language
- English
- LU publication?
- yes
- id
- ce4652d1-479c-4100-a807-cb3ef0d2ed05 (old id 1781979)
- date added to LUP
- 2016-04-01 11:39:41
- date last changed
- 2021-01-03 09:56:46
@article{ce4652d1-479c-4100-a807-cb3ef0d2ed05, abstract = {{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.}}, author = {{Berg, Sven and Nowicki, Krzysztof}}, issn = {{1873-1171}}, keywords = {{random mapping model; unbiased estimation; Lagrange expansion; modified power series distribution; combinatorial numbers.}}, language = {{eng}}, number = {{2}}, pages = {{247--261}}, publisher = {{North-Holland}}, series = {{Journal of Statistical Planning and Inference}}, title = {{Statistical inference for a class of modified power series distributions with applications to random mapping theory}}, volume = {{28}}, year = {{1991}}, }