Geodesic

Continuity and stability in the problems of probability theory and mathematical statistics

Sommaire

Stability of the characterization of the multivariate normal distribution in the Skitovich--Darmois theorem
p. 5-16
Some modifications of the Dudley metric
p. 17-24
An $\varepsilon$-admissibility condition on the sample mean as an estimator of a location parameter in the presence of a nuisance scale parameter
p. 25-37
Stability effect in characterization of distributions
p. 38-55
Arithmetic of Levitan's generalized characteristic functions
p. 56-58
Some wide-sense analogs of characteristic properties of the normal distribution
p. 59-67
Estimating stability in the problem of reconstructing the additive type of a distribution
p. 68-74
Asymptotic $\varepsilon$-admissibility of the sample variance as an estimator of the population variance
p. 75-83
Global limit theorems
p. 84-101
Sharpness of bounds of stability for Raikov's theorem
p. 102-107
Stability for the Marcinkiewicz theorem. Case of a fourth-degree polynomial
p. 107-124
Sharpening stability estimates for Cram\'er's theorem
p. 125-134