Zobrazeno 1 - 10
of 123
pro vyhledávání: '"Zuyev, Sergei"'
Autor:
Jagers, Peter, Zuyev, Sergei
Consider a population whose size changes stepwise by its members reproducing or dying (disappearing), but is otherwise quite general. Denote the initial (non-random) size by $Z_0$ and the size of the $n$th change by $C_n$, $n= 1, 2, \ldots$. Populati
Externí odkaz:
http://arxiv.org/abs/2004.14332
Autor:
Last, Guenter, Zuyev, Sergei
The binomial, the negative binomial, the Poisson, the compound Poisson and the Erlang distribution do all admit integral representations with respect to its (continuous) parameter. We use the Margulis-Russo type formulas for Bernoulli and Poisson pro
Externí odkaz:
http://arxiv.org/abs/1907.09552
Autor:
Chebunin, Mikhail, Zuyev, Sergei
We study the infinite urn scheme when the balls are sequentially distributed over an infinite number of urns labelled 1,2,... so that the urn $j$ at every draw gets a ball with probability $p_j$, $\sum_j p_j=1$. We prove functional central limit theo
Externí odkaz:
http://arxiv.org/abs/1906.10949
Akademický článek
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Publikováno v:
Ann. Appl. Probab., 27, 1678--1801, 2017 and Ann. Appl. Probab., 34, 3370--3374, 2024
The original 2017 version of this paper, published in Ann. Appl. Probab., 27, 1678--1801, contains a major gap in the proofs. In the subsequent publication in Ann. Appl. Probab., 34, 3370--3374, 2024, we indicated how to fix this. For convenience of
Externí odkaz:
http://arxiv.org/abs/1601.04945
The paper develops new methods of non-parametric estimation a compound Poisson distribution. Such a problem arise, in particular, in the inference of a Levy process recorded at equidistant time intervals. Our key estimator is based on series decompos
Externí odkaz:
http://arxiv.org/abs/1510.04968
Autor:
Zanella, Giacomo, Zuyev, Sergei
The notion of stability can be generalised to point processes by defining the scaling operation in a randomised way: scaling a configuration by $t$ corresponds to letting such a configuration evolve according to a Markov branching particle system for
Externí odkaz:
http://arxiv.org/abs/1503.01329
Autor:
Muratov, Anton, Zuyev, Sergei
We call `bits' a sequence of devices indexed by positive integers, where every device can be in two states: $0$ (idle) and $1$ (active). Start from the `ground state' of the system when all bits are in $0$-state. In our first Binary Flipping (BF) mod
Externí odkaz:
http://arxiv.org/abs/1310.1306
Autor:
Muratov, Anton, Zuyev, Sergei
Consider a stationary renewal point process on the real line and divide each of the segments it defines in a proportion given by \iid realisations of a fixed distribution $G$ supported by [0,1]. We ask ourselves for which interpoint distribution $F$
Externí odkaz:
http://arxiv.org/abs/1308.3351
Autor:
Zolghadr, Maryam, Zuyev, Sergei
The paper develops methods to construct a one-stage optimal design of dilution experiments under the total available volume constraint typical for bio-medical applications. We consider various design criteria based on the Fisher information both is B
Externí odkaz:
http://arxiv.org/abs/1212.3151