1 citations · 1 across the 4 of their papers we have counts for
6 papers
Optimal Stopping for the Uniform Distribution
Alexander Gnedin
Many discrete-time optimal stopping problems are known to have more tractable limit forms based on a planar Poisson process. Using this tool we find a solution to the optimal stopp…
Maximal Counts in the Stopped Occupancy Problem
Alexander Gnedin, Svante Janson, Yaakov Malinovsky
We revisit a version of the classic occupancy scheme, where balls are thrown until almost all boxes receive a given number of balls. Special cases are widely known as coupon-collec…
Cross Modality of the Extended Binomial Sums
Alexander Gnedin
For a family of probability functions (or a probability kernel), cross modality occurs when every likelihood maximum matches a mode of the distribution. This implies existence of s…
Infinite Size-Biased Orders
Alexander Gnedin
The infinite random size-biased order with arbitrary positive size parameters is introduced in terms of independent exponential random variables. We collect basic properties and co…
A Species Sampling Model with Finitely many Types
Alexander Gnedin
A two-parameter family of exchangeable partitions with a simple updating rule is introduced. The partition is identified with a randomized version of a standard symmetric Dirichlet…
Corners and Records of the Poisson Process in Quadrant
Alexander Gnedin
The scale-invariant spacings lemma due to Arratia, Barbour and Tavar{é} establishes the distributional identity of a self-similar Poisson process and the set of spacings between th…