A unifying framework for \(k\)-statistics, polykays and their multivariate generalizations

DOI10.3150/07-BEJ6163zbMath1274.62358arXivmath/0607623MaRDI QIDQ1002565

Domenico Senato, Giuseppe Guarino, Elvira di Nardo

Publication date: 2 March 2009

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0607623

zbMATH Keywords

cumulantsumbral calculussymmetric polynomialspolykays\(k\)-statistics

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10)

Related Items (13)

Efficient Computation of Higher-Order Cumulant Tensors ⋮ On a symbolic representation of non-central Wishart random matrices with applications ⋮ Natural statistics for spectral samples ⋮ A new family of time-space harmonic polynomials with respect to Lévy processes ⋮ On photon statistics parametrized by a non-central Wishart random matrix ⋮ A symbolic treatment of Riordan arrays ⋮ A new approach to Sheppard's corrections ⋮ A symbolic handling of Sheffer polynomials ⋮ A new algorithm for computing the multivariate Faà di Bruno's formula ⋮ On the computation of classical, Boolean and free cumulants ⋮ Symbolic computation of moments of sampling distributions ⋮ Unnamed Item ⋮ On Some Applications of a Symbolic Representation of Non Centered Lévy Processes

Uses Software

• Maple
• mathStatica

Cites Work

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• Some Sampling Simplified
• MOMENT COEFFICIENTS OF THE k-STATISTICS IN SAMPLES FROM A FINITE POPULATION
• Statistical Seminvariants and Their Setimates with Particular Emphasis on Their Relation to Algebraic Invariants

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