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Matrices of Higher Moments: Some Problems of Representation

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Abstract

There exist different representations of matrices — via tensors, sets, block-matrices, vectors. Each of these representations has some preferencies and some shortages in different procedures. In multivariate statistics some additional problems arise due some kind of symmetry of the arrays, causing the identity of some groups of elements. It is reasonable to find a parsimonious representation of multivariate matrices, avoiding repeated elements caused by symmetry of the array.

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References

  • Andrews, T.W. (1976) The Theory of Partitions.

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  • Käärik, E. (1994) Representations of index-functions of random vector. Master-thesis.

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  • Käärik, E., Tiit E.-M. (1995) Arrays of Multivariate statistics and their representation, New Trends in Probability and Statistics, Vol. 3, Multivariate Statistics and Matrices in Statistics, pp 313–324, Vilnius, Utrecht, Tokyo.

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© 1997 Springer Science+Business Media Dordrecht

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Käärik, E. (1997). Matrices of Higher Moments: Some Problems of Representation. In: Beneš, V., Štěpán, J. (eds) Distributions with given Marginals and Moment Problems. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5532-8_4

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  • DOI: https://doi.org/10.1007/978-94-011-5532-8_4

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6329-6

  • Online ISBN: 978-94-011-5532-8

  • eBook Packages: Springer Book Archive

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