Sökning: onr:"swepub:oai:DiVA.org:kth-19154" >
ON CONSECUTIVE RECO...
Abstract
Ämnesord
Stäng
- In an infinite sequence of independent Bernoulli trials with success probabilities p(k) = a/(a + b + k - 1) for k = 1, 2 3, ... , let N-r be the number of r >= 2 consecutive successes. Expressions for the first two moments of N-r are derived. Asymptotics of the probability of no occurrence of r consecutive successes for large r are obtained. Using an embedding in a marked Poisson process, it is indicated how the distribution of N-r can be calculated for small r.
Nyckelord
- Bernoulli trial
- embedding in Poisson process
- random permutation
- records
- runs of successes
- sums of indicators
- poisson processes
- number
- strings
- counts
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
Hitta via bibliotek
Till lärosätets databas