The first repetition of a pattern in a symmetric Bernoulli sequence
- 1 March 1983
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 20 (02) , 413-418
- https://doi.org/10.1017/s0021900200023585
Abstract
In a symmetric sequence of Bernoulli trials we define each successive l outcomes as a pattern, and look at the first time that any pattern repeats. Asymptotic expressions, as l →∞, of the distribution and the expectation of this waiting time are derived.Keywords
This publication has 1 reference indexed in Scilit:
- Limit Distributions of Random Variables Associated with Long Duplications in a Sequence of Independent TrialsTheory of Probability and Its Applications, 1974