Mean Success Run Length
Loading...
Files
Date
2009
Authors
Eryılmaz, Serkan
Journal Title
Journal ISSN
Volume Title
Publisher
Korean Statistical Soc
Open Access Color
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
BIP! Indicators
Impulse
Top 10%
Influence
Top 10%
Popularity
Average
Abstract
In this paper we consider mean of success run lengths appearing in a sequence of binary trials. We derive the exact and limiting distributions of mean success run length for i.i.d. Bernoulli trials. The exact distribution of the corresponding random variable is also derived for a sequence of Markov-dependent Bernoulli trials. In addition, a combinatorial formula for the distribution of any success run statistic defined on Markov-dependent trials is presented. (C) 2008 The Korean Statistical Society, Published by Elsevier B.V. All rights reserved.
Description
ORCID
Keywords
Limiting distribution, Run lengths, Sample mean, Success runs, Sequence, Patterns, Combinatorial probability, success runs, Exact distribution theory in statistics, run lengths, limiting distribution, sample mean
Fields of Science
0211 other engineering and technologies, 02 engineering and technology, 0101 mathematics, 01 natural sciences
Citation
WoS Q
Q3
Scopus Q
Q3
OpenCitations Citation Count
9
Source
Journal of the Korean Statıstıcal Socıety
Volume
38
Issue
1
Start Page
65
End Page
71
PlumX Metrics
Citations
CrossRef : 8
Scopus : 10
Captures
Mendeley Readers : 5
Google Scholar™
