Waiting Times and Number of Appearances of Runs: A Unified Approach
From MaRDI portal
Publication:4484614
DOI10.1081/STA-120021560zbMath1140.60306OpenAlexW2062046437MaRDI QIDQ4484614
Publication date: 12 June 2003
Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1081/sta-120021560
Probability distributions: general theory (60E05) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Characterization and structure theory of statistical distributions (62E10)
Related Items (9)
A UNIFIED APPROACH TO GENERATING FUNCTIONS BASED ON BELL POLYNOMIALS ⋮ Weak runs in sequences of binary trials ⋮ On ℓ-overlapping Runs of Ones of Lengthkin Sequences of Independent Binary Random Variables ⋮ Exact distributions of constrained \((k, \ell )\) strings of failures between subsequent successes ⋮ Distributions of patterns of two successes separated by a string of \(k-2\) failures ⋮ Joint distributions of numbers of runs of specified lengths in a sequence of Markov dependent multistate trials ⋮ Polya, Inverse Polya, and Circular Polya Distributions of Orderkforl-Overlapping Success Runs ⋮ Joint distributions of numbers of success runs of specified lengths in linear and circular se\-quences ⋮ On binomial and circular binomial distributions of order \(k\) for \(l\)-overlapping success runs of length \(k\)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Sooner and later waiting time problems for Markovian Bernoulli trials
- Sooner and later waiting time problems for Bernoulli trials: Frequency and run quotas
- A generalized geometric distribution and some of its properties
- On binomial distributions of order k
- Probability distribution functions of succession quotas in the case of Markov dependent trials
- Distributions of numbers of failures and successes until the first consecutive \(k\) successes
- Waiting time distributions associated with runs of fixed length in two-state Markov chains
- On waiting time problems associated with runs in Markov dependent trials
- Success runs of length \(k\) in Markov dependent trials
- Runs, scans and urn model distributions: A unified Markov chain approach
- Joint distributions of runs in a sequence of multi-state trials
- Quotas on runs of successes and failures in a multi-state markov chain
- Distribution Theory of Runs: A Markov Chain Approach
- Joint distributions of successes, failures and patterns in enumeration problems
- Successes, runs and longest runs
- 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
- Distributions of numbers of success runs of fixed length in Markov dependent trials
This page was built for publication: Waiting Times and Number of Appearances of Runs: A Unified Approach
