• Corpus ID: 7722159

Sequences , Patterns and Coincidences

  title={Sequences , Patterns and Coincidences},
  author={Anirban Dasgupta},
This article provides a contemporary exposition at a moderately quantitative level of the distribution theory associated with sequences and patterns in iid multinomial trials, the birthday problem, and the matching problem. The section on patterns includes the classic distribution theory for waiting time for runs and more general patterns, and their means and moments. It also includes the central limit theorem and a.s. properties of the longest run, and modern applications to DNA sequence… 
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