Existence conditions of permanental and multivariate negative binomial distributions

DOI10.1214/17-AOP1179zbMath1385.60049MaRDI QIDQ682281

Franck Maunoury, Nathalie Eisenbaum

Publication date: 14 February 2018

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.aop/1513069273

zbMATH Keywords

\(M\)-matrixnegative binomial distributiondeterminantinfinite divisibilitypermanentGaussian vectorpermanental vectormatrix cycles

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Gaussian processes (60G15) Characteristic functions; other transforms (60E10) Probability distributions: general theory (60E05) Determinants, permanents, traces, other special matrix functions (15A15) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (4)

Local times for spectrally negative Lévy processes ⋮ Lévy measures of infinitely divisible positive processes: examples and distributional identities ⋮ Permanental sequences related to a Markov chain example of Kolmogorov ⋮ Decompositions of infinitely divisible nonnegative processes

This page was built for publication: Existence conditions of permanental and multivariate negative binomial distributions