Statistics and Computing

, Volume 8, Issue 3, pp 189–192 | Cite as

Iterated full partitions

  • David F. Andrews
  • James E. Stafford


Algebraic calculations that depend upon a full partition can be automated through the use of an operator P for the derivation of such a partition. Calculations that require the repeated use of P are automated by simply iterating the operator. The resulting output is general and contains sufficient structure to identify the result of a calculation for a variety of settings.

Computer algebra expected value operator standard ordered partition symbolic computation 


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  1. Andrews, D. F. (1994) The analytic bootstrap. University of Toronto Technical Report.Google Scholar
  2. Andrews, D. F. and Stafford, J. E. (1993) Tools for the symbolic computation of asymptotic expansions. Journal of the Royal Statistical Society, B, 55, 613–28; 16, 421–36.Google Scholar
  3. Barndorff-Nielsen, O. E. and Cox, D. R. (1989) Asymptotic Techniques for Use in Statistics. New York: Chapman and Hall.Google Scholar
  4. Kendall, W. S. (1994) Computer algebra and yoke geometry I: when is an expression a tensor? Warwick University Technical Report.Google Scholar
  5. Leonov, V. P. and Shiryaev, A. N. (1959) On a method of calculation of semi-invariants. Theory of Probability and Applications, 4, 319–29.Google Scholar
  6. McCullagh, P. (1987) Tensor Methods in Statistics. New York: Chapman & Hall.Google Scholar
  7. McCullagh, P. and Wilks, A. (1988) Complementary set partitions. Proceedings of the Royal Society of London Series A, 415, 347–62.Google Scholar
  8. Stafford, J. E. (1994) Automating the partition of indexes. Journal of Computer Graphics and Statistics, 3, 249–60.Google Scholar
  9. Stafford, J. E. and Bellhouse, D. R.(1995) A computer algebra for sample survey theory. University of Western Ontario Technical Report.Google Scholar
  10. Wolfram, S. (1988) Mathematica: A System for Doing Mathematics by Computer, 2nd edn. New York: Addison Wesley.Google Scholar

Copyright information

© Kluwer Academic Publishers 1998

Authors and Affiliations

  • David F. Andrews
    • 1
  • James E. Stafford
    • 2
  1. 1.Department of StatisticsUniversity of TorontoCanada
  2. 2.Department of Statistical and Actuarial SciencesUniversity of Western OntarioLondonCanada

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