Computational Statistics

, Volume 20, Issue 4, pp 611–621 | Cite as

Population moments of sampling distributions

  • Jan Vrbik


We describe a simple technique for computing population moments of a large class of sample statistics. We assume these to be symmetric functions ofn independent observations, wheren is relatively large. This enables us to expand the results in powers of 1⋨ The algorithm is demonstrated using Mathematica.


Symmetric Function Sampling Distribution Central Moment Moment Generate Function Symmetric Polynomial 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. Kendall M G and Stuart A (1969),The Advanced Theory of Statistics (Volume I), Hafner Publishing Company, New York.Google Scholar
  2. Heckman J (1976), “The common structure of statistical models of truncation, sample selection, and limited dependent variables and a simple estimator for such models”,The Annals of Economic and Social Measurement, 5, 475–492.Google Scholar

Copyright information

© Physica-Verlag 2005

Authors and Affiliations

  • Jan Vrbik
    • 1
  1. 1.Department of MathematicsBrock UniversitySt. CatharinesCanada

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