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A note on 'Big Match'

Jean-Michel Coulomb (2010)

ESAIM: Probability and Statistics

We present a very simple proof of the existence of the value for 'Big Match' first shown by Blackwell and Ferguson (1968).

A note on discriminating Poisson processes from other point processes with stationary inter arrival times

Gusztáv Morvai, Benjamin Weiss (2019)

Kybernetika

We give a universal discrimination procedure for determining if a sample point drawn from an ergodic and stationary simple point process on the line with finite intensity comes from a homogeneous Poisson process with an unknown parameter. Presented with the sample on the interval [ 0 , t ] the discrimination procedure g t , which is a function of the finite subsets of [ 0 , t ] , will almost surely eventually stabilize on either POISSON or NOTPOISSON with the first alternative occurring if and only if the process is...

A note on impulsive control of Feller processes with costly information

Dariusz Gątarek (1990)

Aplikace matematiky

The paper deals with the optimal inspections and maintenance problem with costly information for a Markov process with positive discount factor. The associated dynamic programming equation is a quasi-variational inequality with first order differential terms. In this paper we study its different formulations: strong, visousity and evolutionary. The case of impulsive control of purely jump Markov processes is studied as a special case.

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