Symbolic operators for multiple sums

Computational Statistics and Data Analysis

Volumn 24, Issue 4, 1997, Pages 443-454

  Bellhouse, David R ^a   Philips, Robert ^a   Stafford, James E ^a  

^a UNIVERSITY OF WESTERN ONTARIO   (Canada)

Author keywords

Computer algebra; Expected value; Full partition; Outer product; Symbolic computation; Unbiased estimate

Indexed keywords

COMPUTATIONAL METHODS; DATA ACQUISITION; ESTIMATION; RANDOM PROCESSES; SET THEORY;

COMPUTER ALGEBRA; EXPECTED VALUE; FULL PARTITION; OUTER PRODUCT; SYMBOLIC COMPUTATION; UNBIASED ESTIMATE;

ALGEBRA;

EID: 0031554321     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-9473(96)00072-2     Document Type: Article

References (10)

1. Andrews, D.F. and J.E. Stafford, Iterated full partitions, Statist. and Computing (1997) forthcoming.
2. Barndorff-Nielsen, O.E. and D.R. Cox, Asymptotic techniques for use in statistics (Chapman & Hall, New York, 1989).
3. Everitt, B.S, The analysis of contingency tables (Chapman & Hall, New York, 1992).
4. Kendall, W.S., Computer algebra and Yoke geometry I: when is an expression a tensor? Statist. Comput., 4 (1994).
5. van Lint, J.H. and R.M. Wilson, A course in combinatorics (Cambridge Univ. Press, Cambridge, 1992).
6. McCullagh, P., Tensor methods in statistics (Chapman & Hall, New York, 1987).
7. McCullagh, P. and A. Wilks, Complementary set partitions, Proc. Roy. Soc. London Ser, A., 415 (1988) 347-362.
8. Stafford, J.E., Automating the partition of indexes, J. Comput. Graph. Statist., 3 (1994) 249-260.
9. Stafford, J.E. and D.R. Bellhouse, A computer algebra for sample survey theory, Sample Survey Methodology (1997).
10. Wolfram, S., Mathematica: a system for doing mathematics by computer, 2nd edn. (Addison-Wesley, Reading, MA, 1988).