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DMTCS
2007
49views Mathematics» more  DMTCS 2007»
13 years 4 months ago
Waiting Time Distributions for Pattern Occurrence in a Constrained Sequence
A binary sequence of zeros and ones is called a (d, k)-sequence if it does not contain runs of zeros of length either less than d or greater than k, where d and k are arbitrary, b...
Valery T. Stefanov, Wojciech Szpankowski
CSDA
2008
62views more  CSDA 2008»
13 years 4 months ago
Waiting time distribution of generalized later patterns
In this paper the concept of later waiting time distributions for patterns in multi-state trials is generalized to cover a collection of compound patterns that must all be counted...
Donald E. K. Martin, John A. D. Aston
SCHOLARPEDIA
2008
83views more  SCHOLARPEDIA 2008»
13 years 4 months ago
Law of series
We consider an ergodic process on finitely many states, with positive entropy. Our first main result asserts that the distribution function of the normalized waiting time for the f...
Tomasz Downarowicz
GCB
2000
Springer
75views Biometrics» more  GCB 2000»
13 years 8 months ago
Regexpcount, a Symbolic Package for Counting Problems on Regular Expressions and Words
In previous work [10], we considered algorithms related to the statistics of matches with words and regular expressions in texts generated by Bernoulli or Markov sources. In this w...
Pierre Nicodème
BCB
2010
166views Bioinformatics» more  BCB 2010»
12 years 12 months ago
Fast graph approaches to measure influenza transmission across geographically distributed host types
Recent advances in next generation sequencing are providing a number of large whole-genome sequence datasets stemming from globally distributed disease occurrences. This offers an...
Adrienne Breland, Karen Schlauch, Mehmet Hadi Gune...