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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.

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