Scan statistics for monitoring data modeled by a negative binomial distribution

DOI10.1080/03610926.2014.923460zbMath1345.62036OpenAlexW2294999533MaRDI QIDQ2807794

Jie Chen, Joseph Glaz

Publication date: 25 May 2016

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2014.923460

zbMATH Keywords

inequalitieswaiting timeapproximationsmoving sumsequential monitoringmultiple scanning windows

Mathematics Subject Classification ID

Parametric hypothesis testing (62F03) Sequential statistical analysis (62L10)

Related Items (3)

Scan statistics for detecting a local change in variance for normal data with unknown population variance ⋮ Duality between the local score of one sequence and constrained hidden Markov model ⋮ Using scan statistics for cluster detection: recognizing real bandwagons

Cites Work

• New recursive methods for scan statistic probabilities
• Estimating the distribution of one-dimensional discrete scan statistics viewed as extremes of 1-dependent stationary sequences
• Bayesian variable window scan statistics
• Tight bounds and approximations for scan statistic probabilities for discrete data
• Poisson approximations for \(r\)-scan processes
• Number of occurrences of subpattern until the first appearance of a pattern and geometric distribution.
• First passage time for some stationary processes
• New approximations for the distribution of the \(r\)-scan statistic
• Multiple Window Discrete Scan Statistics
• SAMPLING THEORY OF THE NEGATIVE BINOMIAL AND LOGARITHMIC SERIES DISTRIBUTIONS

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