English

Recognising the Last Record of a Sequence

Probability 2007-05-23 v1

Abstract

We study the best-choice problem for processes which generalise the process of records from Poisson-paced i.i.d. observations. Under the assumption that the observer knows distribution of the process and the horizon, we determine the optimal stopping policy and for a parametric family of problems also derive an explicit formula for the maximum probability of recognising the last record.

Keywords

Cite

@article{arxiv.math/0602278,
  title  = {Recognising the Last Record of a Sequence},
  author = {Alexander Gnedin},
  journal= {arXiv preprint arXiv:math/0602278},
  year   = {2007}
}