The Annals of Statistics

Multiple Products of Polykays Using Ordered Partitions

D. S. Tracy and B. C. Gupta

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Abstract

Methods for multiplication of polykays have been given by various authors. Carney used ordered partitions in considering double products. In this paper, relations between polykays, symmetric means, augmented monomial functions and unrestricted power sums are studied. The method of ordered partitions is extended to obtain multiple products of polykays. Kronecker products of ordered partitions are introduced and certain rules are suggested by whose application the size of the problem is reduced considerably. The method is illustrated on triple products of weight 7.

Article information

Source
Ann. Statist., Volume 1, Number 5 (1973), 913-923.

Dates
First available in Project Euclid: 12 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aos/1176342511

Digital Object Identifier
doi:10.1214/aos/1176342511

Mathematical Reviews number (MathSciNet)
MR332510

Zentralblatt MATH identifier
0272.05009

JSTOR
links.jstor.org

Citation

Tracy, D. S.; Gupta, B. C. Multiple Products of Polykays Using Ordered Partitions. Ann. Statist. 1 (1973), no. 5, 913--923. doi:10.1214/aos/1176342511. https://projecteuclid.org/euclid.aos/1176342511


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