The \(m\)th longest runs of multivariate random sequences
From MaRDI portal
Publication:2397332
DOI10.1007/s10463-015-0551-8zbMath1398.60022OpenAlexW2297927465MaRDI QIDQ2397332
Publication date: 22 May 2017
Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10463-015-0551-8
combinatorial identitiesgenerating functionrandomness testdistribution-free statistical testruns length test
Exact distribution theory in statistics (62E15) Exact enumeration problems, generating functions (05A15) Combinatorial probability (60C05)
Related Items (3)
Joint distribution of rises, falls, and number of runs in random sequences ⋮ Multiple consecutive runs of multi-state trials: distributions of \(( k_1 , k_2 , \dots , k_\ell )\) patterns ⋮ Decoupling combinatorial complexity: a two-step approach to distributions of runs
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Runs, scans and urn model distributions: A unified Markov chain approach
- Useful inequalities for the longest run distribution
- Some results associated with the longest run statistic in a sequence of Markov dependent trials
- Shortest and longest length of success runs in binary sequences
- Distributions of Runs Revisited
- Number of appearances of events in random sequences: A new approach to non-overlapping runs
- The Longest Run of Heads
- On Runs and Longest Run Tests: A Method of Finite Markov Chain Imbedding
- On exact and large deviation approximation for the distribution of the longest run in a sequence of two-state Markov dependent trials
- The conditional distribution of the longest run in a sample from a multiletter alphabet
- Exact Formulas for Multitype Run Statistics in a Random Ordering
- Longest run of consecutive observations having a specified attribute
- Distribution of Runs and Longest Runs
- The Distribution Theory of Runs
- Note on an Application of Runs to Quality Control Charts
- Successes, runs and longest runs
- Scan statistics
This page was built for publication: The \(m\)th longest runs of multivariate random sequences