On Generating Functions of Waiting Times and Numbers of Occurrences of Compound Patterns in a Sequence of Multistate Trials
From MaRDI portal
Publication:5443702
DOI10.1239/jap/1175267164zbMath1134.60012OpenAlexW2158595157MaRDI QIDQ5443702
Publication date: 22 February 2008
Published in: Journal of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1239/jap/1175267164
Probability distributions: general theory (60E05) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10)
Related Items
Recursive equations in finite Markov chain imbedding ⋮ Compound patterns and generating functions: from basic waiting times to counts of occurrence ⋮ Bivariate Fibonacci polynomials of order \(k\) with statistical applications ⋮ On the Joint Distribution of Stopping Times and Stopped Sums in Multistate Exchangeable Trials
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A generalized Pólya urn model and related multivariate distributions
- Sooner and later waiting time problems for Bernoulli trials: Frequency and run quotas
- On binomial distributions of order k
- Start-up demonstration tests under Markov dependence model with corrective actions
- Sooner and later waiting time problems for success and failure runs in higher order Markov dependent trials
- Generalized waiting time problems associated with pattern in Polya's urn scheme
- Joint distributions associated with patterns, successes and failures in a sequence of multi-state trials
- Generalized binomial and negative binomial distributions of order \(k\) by the \(\ell\)-overlapping enumeration scheme
- Sooner and later waiting time problems in a two-state Markov chain
- The coupon subset collection problem
- On probability generating functions for waiting time distributions of compound patterns in a sequence of multistate trials
- Poisson approximation and dna sequence matching
- Distribution Theory of Runs: A Markov Chain Approach
- Sooner waiting time problems in a sequence of trinary trials
- On ordered series and later waiting time distributions in a sequence of Markov dependent multistate trials
- Numbers of success-runs of specified length until certain stopping time rules and generalized binomial distributions of order \(k\)
- Waiting time problems in a two-state Markov chain