Generalizations of Runs and Patterns Distributions for Sequences of Binary Trials

In the present paper we study the distributions of families of patterns which generalize runs and patterns distributions extensively examined in the literature during the last decades. In our analysis we assume that the sequence of outcomes under investigation includes independent, but not necessari...

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Bibliographic Details
Published inMethodology and computing in applied probability Vol. 23; no. 1; pp. 165 - 185
Main Authors Dafnis, Spiros D., Makri, Frosso S., Koutras, Markos V.
Format Journal Article
LanguageEnglish
Published New York Springer US 01.03.2021
Springer Nature B.V
Subjects
Business and Management
Economics
Electrical Engineering
Life Sciences
Mathematics and Statistics
Statistics
Markov chain
60J10
Pattern
Run
Exact distribution
62E15
Biomedical engineering
60E05
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Summary:In the present paper we study the distributions of families of patterns which generalize runs and patterns distributions extensively examined in the literature during the last decades. In our analysis we assume that the sequence of outcomes under investigation includes independent, but not necessarily identically distributed trials. An illustration is also provided how our new results could be exploited to enrich a new system, still in research, related to patients’ weaning from mechanical ventilation.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1387-5841
1573-7713
DOI:10.1007/s11009-020-09810-0