Approximation Results for Sums of Independent Random Variables
From MaRDI portal
Publication:5866623
DOI10.57805/revstat.v20i3.378zbMath1495.62024arXiv2007.02281MaRDI QIDQ5866623
Publication date: 22 September 2022
Full work available at URL: https://arxiv.org/abs/2007.02281
probability generating functionperturbationsStein's methodStein operatorPoisson and geometric distribution
Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Probability distributions: general theory (60E05) Approximations to statistical distributions (nonasymptotic) (62E17)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fundamentals of Stein's method
- Stein's method for comparison of univariate distributions
- Stein's density approach and information inequalities
- On a modified binomial distribution of order k
- On the rate of convergence in the multivariate CLT
- Stein's method for diffusion approximations
- Compound Poisson approximation for nonnegative random variables via Stein's method
- Kerstan's method for compound Poisson approximation.
- Closed form summation for classical distributions: variations on a theme of de Moivre
- Distributional transformations, orthogonal polynomials, and Stein characterizations
- Centered Poisson approximation via Stein's method
- Approximations to the distribution of sum of independent non-identically gamma random variables
- On Stein operators for discrete approximations
- An approximation theorem for the Poisson binomial distribution
- Normal Approximation by Stein’s Method
- О некотором способе разложения вероятностей решетчатых случайных величин
- Saddle point approximation for the distribution of the sum of independent random variables
- On perturbations of Stein operator
- Poisson approximation for some statistics based on exchangeable trials
- On Negative Binomial Approximation
- Local Pinsker Inequalities via Stein's Discrete Density Approach
- Compound Poisson approximations for sums of random variables
This page was built for publication: Approximation Results for Sums of Independent Random Variables
