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Chapter and Conference Paper
Dmitrii S. Silvestrov
This chapter presents short biographical notes about Professor Dmitri S. Silvestrov.
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Chapter and Conference Paper
Phase-Type Distribution Approximations of the Waiting Time Until Coordinated Mutations Get Fixed in a Population
In this paper we study the waiting time until a number of coordinated mutations occur in a population that reproduces according to a continuous time Markov process of Moran type. It is assumed that any individ...
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Chapter and Conference Paper
Continuous Approximations of Discrete Choice Models Using Point Process Theory
We analyze continuous approximations of discrete choice models with a large number of options. We start with a discrete choice model where agents choose between different options, and where each option is defi...
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Chapter and Conference Paper
Nonlinearly Perturbed Birth-Death-Type Models
Asymptotic expansions are presented for stationary and conditional quasi-stationary distributions of nonlinearly perturbed birth-death-type semi-Markov models, as well as for computing coefficients of ...
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Article
Asymptotic bias and variance for a general class of varying bandwidth density estimators
We consider a general class of varying bandwidth estimators of a probability density function. The class includes the Abramson estimator, transformation kernel density estimator (TKDE), Jones transformation ke...
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Article
The change-of-variance function for dependent data
The infinitesimal stability of the asymptotic variance is considered forM-estimators of a location parameter when the nominal sample with i.i.d. data is contaminated by a possibly dependent process. It is shown t...