Regression conditions that characterize free-Poisson and free-Kummer distributions
From MaRDI portal
Publication:5863548
DOI10.1142/S2010326322500198zbMath1498.46072arXiv1907.02826OpenAlexW3189629583MaRDI QIDQ5863548
Publication date: 1 June 2022
Published in: Random Matrices: Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.02826
spectral distributionfree Poisson distributionMarchenko-Pastur lawfree Kummer distributionfree-independence characterization
Probability distributions: general theory (60E05) Free probability and free operator algebras (46L54)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On Kummer's distribution of type two and a generalized beta distribution
- Kummer and gamma laws through independences on trees -- another parallel with the Matsumoto-Yor property
- On the Matsumoto-Yor property in free probability
- Independence properties of the Matsumoto-Yor type
- Free probability and random matrices
- On the Matsumoto-Yor type regression characterization of the gamma and Kummer distributions
- Confluent hypergeometric function of second kind with matrix argument
- Limit laws for random matrices and free products
- Multiplicative functions on the lattice of non-crossing partitions and free convolution
- Convolution and limit theorems for conditionally free random variables
- Change of measure technique in characterizations of the gamma and Kummer distributions
- An independence property for the product of GIG and gamma laws
- 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 free generalized inverse Gaussian distributions
- The limiting spectral measure of the generalised inverse Gaussian random matrix model
- On a class of free Lévy laws related to a regression problem
- Convolution, subordination and characterization problems in noncommutative probability
- Lectures on the Combinatorics of Free Probability
- On the Lukacs property for free random variables
- On large deviations for the spectral measure of discrete Coulomb gas
- Independence characterization for Wishart and Kummer random matrices
- A Characterization of the Exponential Distribution
- A Characterization of the Dirichlet Distribution
- A constant regression characterization of a Marchenko-Pastur law
- A Characterization of the Gamma Distribution
- Theory of operator algebras I.
