Dual Lukacs regressions of negative orders for noncommutative variables
From MaRDI portal
Publication:3190771
DOI10.1142/S0219025714500210zbMath1316.46047arXiv1307.7874MaRDI QIDQ3190771
Publication date: 19 September 2014
Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1307.7874
conditional momentsfreenessLukacs characterizationfree Poisson distributionfree binomial distribution
Free probability and free operator algebras (46L54) Characterization and structure theory of statistical distributions (62E10)
Related Items (4)
On the Lukacs property for free random variables ⋮ On the Matsumoto-Yor property in free probability ⋮ Sample variance in free probability ⋮ Conditional expectations through Boolean cumulants and subordination -- towards a better understanding of the Lukacs property in free probability
Cites Work
- Laha-Lukacs properties of some free processes
- Dual Lukacs regressions for non-commutative variables
- Noncommutative characterization of free Meixner processes
- Three dual regression schemes for the Lukacs theorem
- Addition of certain non-commuting random variables
- Convolution and limit theorems for conditionally free random variables
- Conditional moments of \(q\)-Meixner processes
- Superconvergence to the central limit and failure of the Cramér theorem for free random variables
- \(R\)-transforms of free joint distributions and non-crossing partitions
- On a class of free Lévy laws related to a regression problem
- On a problem connected with quadratic regression
- Lectures on the Combinatorics of Free Probability
- Asymptotic freeness by generalized moments for Gaussian and Wishart matrices. Application to beta random matrices
- Characterizations of Some Distributions by Conditional Moments
- A Characterization of the Gamma Distribution
- Theory of operator algebras I.
This page was built for publication: Dual Lukacs regressions of negative orders for noncommutative variables
