Zobrazeno 1 - 10
of 64
pro vyhledávání: '"Gnedin, Alexander V."'
Autor:
Gnedin, Alexander V.
Theory of Kingman's partition structures has two culminating points: the general paintbox representation, relating finite partitions to hypothetical infinite populations via a natural sampling procedure, known as Kingman's paintbox; a central example
Externí odkaz:
http://arxiv.org/abs/0901.4444
Publikováno v:
Annals of Applied Probability 2009, Vol. 19, No. 4, 1634-1655
We consider an occupancy scheme in which "balls" are identified with $n$ points sampled from the standard exponential distribution, while the role of "boxes" is played by the spacings induced by an independent random walk with positive and nonlattice
Externí odkaz:
http://arxiv.org/abs/0801.4725
Autor:
Gnedin, Alexander V.
For $\tau$ a stopping rule adapted to a sequence of $n$ iid observations, we define the loss to be $\ex [ q(R_\tau)]$, where $R_j$ is the rank of the $j$th observation, and $q$ is a nondecreasing function of the rank. This setting covers both the bes
Externí odkaz:
http://arxiv.org/abs/0705.2976
Autor:
Gnedin, Alexander V., Yakubovich, Yuri
Publikováno v:
Annals of Probability 2006, Vol. 34, No. 6, 2203-2218
A class of random discrete distributions $P$ is introduced by means of a recursive splitting of unity. Assuming supercritical branching, we show that for partitions induced by sampling from such $P$ a power growth of the number of blocks is typical.
Externí odkaz:
http://arxiv.org/abs/math/0510305
Autor:
Gnedin, Alexander V.
Chain records is a new type of multidimensional record. We discuss how often the chain records are broken when the background sampling is from the unit cube with uniform distribution (or, more generally, from an arbitrary continuous product distribut
Externí odkaz:
http://arxiv.org/abs/math/0510042
For $S$ a subordinator and $\Pi_n$ an independent Poisson process of intensity $ne^{-x}, x>0,$ we are interested in the number $K_n$ of gaps in the range of $S$ that are hit by at least one point of $\Pi_n$. Extending previous studies in \cite{Bernou
Externí odkaz:
http://arxiv.org/abs/math/0505171
Autor:
Gnedin, Alexander V.
Publikováno v:
Bernoulli, 2004 Feb 01. 10(1), 79-96.
Externí odkaz:
https://www.jstor.org/stable/3318831
Publikováno v:
The Annals of Applied Probability, 2000 Feb 01. 10(1), 258-267.
Externí odkaz:
https://www.jstor.org/stable/2667195
Autor:
Gnedin, Alexander V.
Publikováno v:
Lecture Notes-Monograph Series, 2000 Jan 01. 35, 101-109.
Externí odkaz:
https://www.jstor.org/stable/4356084
Autor:
Gnedin, Alexander V.
Publikováno v:
Journal of Applied Probability, 1999 Dec 01. 36(4), 1074-1085.
Externí odkaz:
https://www.jstor.org/stable/3215579