activity
20052022
most citedOptimal designs for a class of nonlinear regression models

42 citations · 138 across the 15 of their papers we have counts for

collaborators

17 papers

stat.AP2022

Statistical Modelling for Improving Efficiency of Online Advertising

Irina Scherbakova, Andrey Pepelyshev, Yuri Staroselskiy +2

Real-time bidding has transformed the digital advertising landscape, allowing companies to buy website advertising space in a matter of milliseconds in the time it takes a webpage…

math.ST2019

Prediction in regression models with continuous observations

Holger Dette, Andrey Pepelyshev, Anatoly Zhigljavsky

We consider the problem of predicting values of a random process or field satisfying a linear model , where errors are correlate…

stat.CO2019

Analytic Evaluation of the Fractional Moments for the Quasi-Stationary Distribution of the Shiryaev Martingale on an Interval

Kexuan Li, Aleksey S. Polunchenko, Andrey Pepelyshev

We consider the quasi-stationary distribution of the classical Shiryaev diffusion restricted to the interval with absorption at a fixed . We derive analytically a clos…

stat.ME2018

Analytic moment and Laplace transform formulae for the quasi-stationary distribution of the Shiryaev diffusion on an interval

Aleksey S. Polunchenko, Andrey Pepelyshev

We derive analytic closed-form moment and Laplace transform formulae for the quasi-stationary distribution of the classical Shiryaev diffusion restricted to the interval wi…

stat.ME2016

Best linear unbiased estimators in continuous time regression models

Holger Dette, Andrey Pepelyshev, Anatoly Zhigljavsky

In this paper the problem of best linear unbiased estimation is investigated for continuous-time regression models. We prove several general statements concerning the explicit form…

math.ST2016

Optimal designs for regression models with autoregressive errors structure

Holger Dette, Andrey Pepelyshev, Anatoly Zhigljavsky

In the one-parameter regression model with AR(1) and AR(2) errors we find explicit expressions and a continuous approximation of the optimal discrete design for the signed least sq…