17 citations · 40 across the 19 of their papers we have counts for
21 papers
A counter-example linked to Gaussian convex hulls
Youri Davydov
We consider the sequence of independent centered Gaussian random elements of a separable Banach space and their consecutive closed convex hulls. If inicial elements converge weakly…
The Distribution of Argmaximum or a Winner Problem
Youri Davydov, Vladimir Rotar
We consider a limit theorem for the distribution of a r.v. where s are independent continuous non-negative random variables. The r.v.'s…
Randomized limit theorems for stationary ergodic random processes and fields
Youri Davydov, Arkady Tempelman
We consider "randomized" statistics constructed by using a finite number of observations a random field at randomly chosen points. We generalize the invariance principle (the funct…
More on the convergence of Gaussian convex hulls
Youri Davydov, Vygantas Paulauskas
A "law of large numbers" for consecutive convex hulls for weakly dependent Gaussian sequences , having the same marginal distribution, is extended to the case when the seq…
Remarks on asymptotic independence
Youri Davydov, Svyatoslav Novikov
In this paper we introduce several natural definitions of asymptotic independence of two sequences of random elements. We discuss their basic properties, some simple connections be…
Searching for, and quantifying, non-convexity of functions
Youri Davydov, Elina Moldavskaya, Ričardas Zitikis
Convexity plays a prominent role in a number of problems, but practical considerations frequently give rise to non-convex functions. We suggest a method for determining convex regi…