Stein characterizations for linear combinations of gamma random variables
From MaRDI portal
Publication:783312
DOI10.1214/18-BJPS420zbMath1453.60067arXiv1709.01161OpenAlexW3004185524MaRDI QIDQ783312
Guillaume Poly, Yvik Swan, Ehsan Azmoodeh, Benjamin Arras
Publication date: 12 August 2020
Published in: Brazilian Journal of Probability and Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1709.01161
Central limit and other weak theorems (60F05) Characteristic functions; other transforms (60E10) Probability distributions: general theory (60E05) Stochastic calculus of variations and the Malliavin calculus (60H07)
Related Items (6)
Identifying the distribution of linear combinations of gamma random variables via Stein’s method ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Malliavin-Stein method: a survey of some recent developments ⋮ Some new Stein operators for product distributions ⋮ On algebraic Stein operators for Gaussian polynomials
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Generalization of the Nualart-Peccati criterion
- Stein's method for invariant measures of diffusions via Malliavin calculus
- Convergence in law in the second Wiener/Wigner chaos
- Nourdin-Peccati analysis on Wiener and Wiener-Poisson space for general distributions
- Stein's method for comparison of univariate distributions
- Characterization of infinitely divisible multivariate gamma distributions
- Noncentral convergence of multiple integrals
- Stein's method on Wiener chaos
- Stein's method of exchangeable pairs for the Beta distribution and generalizations
- Malliavin-Stein method for variance-gamma approximation on Wiener space
- Cumulants on the Wiener space
- On permanental processes
- Stein's method for diffusion approximations
- Products of normal, beta and gamma random variables: Stein operators and distributional theory
- The Gamma Stein equation and noncentral de Jong theorems
- An algebra of Stein operators
- Degree asymptotics with rates for preferential attachment random graphs
- A bound on the Wasserstein-2 distance between linear combinations of independent random variables
- On Stein's method for products of normal random variables and zero bias couplings
- Variance-gamma approximation via Stein's method
- Fourth moment theorems for Markov diffusion generators
- A characterization of the infinitely divisible squared Gaussian processes
- Convergence Towards Linear Combinations of Chi-Squared Random Variables: A Malliavin-Based Approach
- Normal Approximations with Malliavin Calculus
- NON-CENTRAL MULTIVARIATE CHI-SQUARE AND GAMMA DISTRIBUTIONS
- Normal Approximation by Stein’s Method
- Local Pinsker Inequalities via Stein's Discrete Density Approach
- A Multivariate Gamma-Type Distribution
This page was built for publication: Stein characterizations for linear combinations of gamma random variables