Distances between distributions via Stein's method
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Publication:2135198
DOI10.1007/s10959-021-01075-8OpenAlexW3128970320MaRDI QIDQ2135198
Publication date: 4 May 2022
Published in: Journal of Theoretical Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.11518
Stein's methodKolmogorov distanceWasserstein distancetotal variation distanceStein factorsStein equationsintegral probability metrics
Approximations to statistical distributions (nonasymptotic) (62E17) Applications of operator theory in probability theory and statistics (47N30)
Related Items (3)
On infinite covariance expansions ⋮ How a probabilistic analogue of the mean value theorem yields stein-type covariance identities ⋮ Stein’s method and approximating the multidimensional quantum harmonic oscillator
Cites Work
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- Distances between nested densities and a measure of the impact of the prior in Bayesian statistics
- Nonnormal approximation by Stein's method of exchangeable pairs with application to the Curie-Weiss model
- Binomial approximation to the Poisson binomial distribution
- Stein's method of exchangeable pairs for the Beta distribution and generalizations
- Poisson approximation for dependent trials
- Variational inequalities with examples and an application to the central limit theorem
- The Gamma Stein equation and noncentral de Jong theorems
- Distributional transformations, orthogonal polynomials, and Stein characterizations
- First-order covariance inequalities via Stein's method
- Mills' ratio: Monotonicity patterns and functional inequalities
- On Stein's factors for Poisson approximation in Wasserstein distance
- Exact bounds on the closeness between the Student and standard normal distributions
- Normal Approximations with Malliavin Calculus
- Normal Approximation by Stein’s Method
- On Choosing and Bounding Probability Metrics
- Stein's Method for the Beta Distribution and the Pólya-Eggenberger Urn
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