Two-parametric compound binomial approximations

Link:
Autor/in:
Erscheinungsjahr:
2004
Medientyp:
Text
Schlagworte:
  • Compound binomial distribution
  • Concentration function
  • Kolmogorov norm
  • Shifted distributions
  • Stein's method
  • Symmetric distributions
  • Total variation norm
Beschreibung:
  • We consider two-parametric compound binomial approximation of the generalized Poisson binomial distribution. We show that the accuracy of approximation essentially depends on the symmetry or shifting of distributions and construct asymptotic expansions. For the proofs, we combine the properties of norms with the results for convolutions of symmetric and shifted distributions. In the lattice case, we use the characteristic function method. In the case of almost binomial approximation, we apply Stein's method. © 2004 Springer Science+Business Media, Inc.
Lizenz:
  • info:eu-repo/semantics/closedAccess
Quellsystem:
Forschungsinformationssystem der UHH
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oai:www.edit.fis.uni-hamburg.de:publications/2ee24634-fba6-4069-8cea-40ef3bca4bc3