On occurrence of patterns in Markov chains: Method of gambling teams
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Publication:952874
DOI10.1016/j.spl.2008.03.023zbMath1151.60327OpenAlexW1989898058MaRDI QIDQ952874
Publication date: 14 November 2008
Published in: Statistics \& Probability Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.spl.2008.03.023
Martingales with discrete parameter (60G42) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Combinatorial probability (60C05)
Related Items (7)
Learning Temporal Structures of Random Patterns by Generating Functions ⋮ Predictive control of linear discrete-time Markovian jump systems by learning recurrent patterns ⋮ Oscillation properties of expected stopping times and stopping probabilities for patterns consisting of consecutive states in Markov chains ⋮ A note on the gambling team method ⋮ Waiting times and stopping probabilities for patterns in Markov chains ⋮ Stopping Probabilities for Patterns in Markov Chains ⋮ Patterns generated by \(m\)th-order Markov chains
Cites Work
- A martingale approach to scan statistics
- A martingale approach to the study of occurrence of sequence patterns in repeated experiments
- The occurrence of sequence patterns in repeated experiments and hitting times in a Markov chain
- Number of occurrences of subpattern until the first appearance of a pattern and geometric distribution.
- Waiting time distributions of simple and compound patterns in a sequence of \(r\)th order Markov dependent multi-state trials
- Distribution of waiting time until the \(r\)th occurrence of a compound pattern
- Waiting times for patterns in a sequence of multistate trials
- On probability generating functions for waiting time distributions of compound patterns in a sequence of multistate trials
- Probability with Martingales
- On some waiting time problems
- Distribution of the scan statistic for a sequence of bistate trials
- Distribution of the number of words with a prescribed frequency and tests of randomness
- The intersite distances between pattern occurrences in strings generated by general discrete- and continuous-time models: an algorithmic approach
- Gambling Teams and Waiting Times for Patterns in Two-State Markov Chains
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