Corpus ID: 119136208

How Far Might We Walk at Random

@article{Finch2018HowFM,
  title={How Far Might We Walk at Random},
  author={S. Finch},
  journal={arXiv: History and Overview},
  year={2018}
}
  • S. Finch
  • Published 2018
  • Mathematics
  • arXiv: History and Overview
This elementary treatment first summarizes extreme values of a Bernoulli random walk on the one-dimensional integer lattice over a finite discrete time interval. Both the symmetric (unbiased) and asymmetric (biased) cases are discussed. Asymptotic results are given as the time interval length approaches infinity. Focus then shifts to such walks reflected at the origin -- in both strong and weak senses -- and related unsolved problems are meticulously examined. 
The Maximum of an Asymmetric Simple Random Walk with Reflection

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