179 citations · 453 across the 17 of their papers we have counts for
16 papers · 1 filter
Smoluchowski processes and nonparametric estimation of functionals of particle displacement distributions from count data
A. Goldenshluger, R. Jacobovic
Suppose that particles are randomly distributed in $\bR^d$, and they are subject to identical stochastic motion independently of each other. The Smoluchowski process describes fluc…
Density Deconvolution with Non-Standard Error Distributions: Rates of Convergence and Adaptive Estimation
Alexander Goldenshluger, Taeho Kim
It is a typical standard assumption in the density deconvolution problem that the characteristic function of the measurement error distribution is non-zero on the real line. While…
Minimax estimation of norms of a probability density: II. Rate-optimal estimation procedures
Alexander Goldenshluger, Oleg Lepski
In this paper we develop rate--optimal estimation procedures in the problem of estimating the --norm, of a probability density from independent observations…
Minimax estimation of norms of a probability density: I. Lower bounds
Alexander Goldenshluger, Oleg Lepski
The paper deals with the problem of nonparametric estimating the --norm, , of a probability density on , from independent observations. The unk…
Density deconvolution under general assumptions on the distribution of measurement errors
Denis Belomestny, Alexander Goldenshluger
In this paper we study the problem of density deconvolution under general assumptions on the measurement error distribution. Typically deconvolution estimators are constructed usin…
Nonparametric estimation of service time characteristics in infinite-server queues with nonstationary Poisson input
A. Goldenshluger, D. T. Koops
This paper provides a mathematical framework for estimation of the service time distribution and the expected service time of an infinite-server queueing system with a nonhomogeneo…