115 citations · 388 across the 61 of their papers we have counts for
11 papers · 1 filter
Regenerative compositions in the case of slow variation: A renewal theory approach
Alexander Gnedin, Alexander Iksanov
A regenerative composition structure is a sequence of ordered partitions derived from the range of a subordinator by a natural sampling procedure. In this paper, we extend previous…
Block characters of the symmetric groups
Alexander Gnedin, Vadim Gorin, Sergei Kerov
Block character of a finite symmetric group S(n) is a positive definite function which depends only on the number of cycles in permutation. We describe the cone of block characters…
Moments of random sums and Robbins' problem of optimal stopping
Alexander Gnedin, Alexander Iksanov
Robbins' problem of optimal stopping asks one to minimise the expected {\it rank} of observation chosen by some nonanticipating stopping rule. We settle a conjecture regarding the…
The Unlucky Door
Alexander Gnedin
In the famous Three-Door-Game Monte cannot help to win all the time by signaling location of the prize, using only the freedom he allowed to use. No matter which strategies played,…
The Monty Hall Problem in the Game Theory Class
Alexander Gnedin
The basic Monty Hall problem is explored to introduce into the fundamental concepts of the game theory and to give a complete Bayesian and a (noncooperative) game-theoretic analysi…
The Doors
Alexander Gnedin
We emphasize the dominance in the Monty Hall problem, both in the classical scenario and its multi-door generalization. This is used to show optimality of the class of always-switc…