The conditional distribution of the longest run in a sample from a multiletter alphabet

Communications in Statistics Part B: Simulation and Computation

Volumn 25, Issue 1, 1996, Pages 215-224

  Schuster, Eugene F ^a  

^a UNIVERSITY OF TEXAS AT EL PASO   (United States)

Author keywords

Conditional distribution; Longest run; Multiletter; Random permutation; Recursion; Unconditional distribution

Indexed keywords

EID: 1542428679     PISSN: 03610918     EISSN: None     Source Type: Journal    
DOI: 10.1080/03610919608813308     Document Type: Article

References (5)

1. Bateman, G. (1948) "On the Power Function of the Longest Run as a Test for Randomness in a Sequence of Alternatives", Biometrika, 35, 97-112.
2. Kaigh W. D. and Schuster E.F. (1994) "SRS Runs and Rank Spacings Tests to Assess Randomness", American Statistical Association Proceedings of the Section on Statistical Computing, 272-277.
3. Schuster, E. F. (1991) "Distribution Theory of Runs via Exchangeable Random Variables", Statistics and Probability Letters, 11, 379-386.
4. Schuster, E. F. (1994) "Exchangeability and Recursion in the Conditional Distribution Theory of Number and Length of Runs", Runs and Patterns in Probability: Selected Papers, Anant Godbole and Stavros Papastavridis, Editors, Kluwer Publishers, Norwell Massachusetts, 91-118.
5. Suman, K. A. (1994) "The Longest Run of Any Letter in a Randomly Generated Word", Runs and Patterns in Probability: Selected Papers, Anant Godbole and Stavros Papastavridis, Editors, Kluwer Publishers, Norwell Massachusetts, 119-130.