Probability problems connected with a certain integrodifferential inequality

DOI10.1007/BF00971508zbMath0701.60016MaRDI QIDQ914235

S. A. Utev

Publication date: 1989

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

error boundsPoisson approximationnormal approximation

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Distribution theory (60E99)

Related Items (8)

On Stein's method for multivariate self-decomposable laws with finite first moment ⋮ Chernoff-type inequality and variance bounds ⋮ Stability of the Poincaré constant ⋮ Higher-order Stein kernels for Gaussian approximation ⋮ A note on existence of free Stein kernels ⋮ Variational inequalities for arbitrary multivariate distributions ⋮ Stability of higher order eigenvalues in dimension one ⋮ Relaxing the Gaussian assumption in shrinkage and SURE in high dimension

Cites Work

• A note on an inequality involving the normal distribution
• Poisson approximation for dependent trials
• An estimate of the remainder in a combinatorial central limit theorem
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