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Simultaneous Confidence Intervals for the Ratios of Marginal Means of a Multivariate Poisson Distribution

Authors
Kang, JongkyeongBang, SungwanJhun, Myoungshic
Issue Date
2014
Publisher
TAYLOR & FRANCIS INC
Keywords
Bootstrap; Infectious disease data; Lognormal approximation; Multivariate Poisson distribution; Ratio of means; Simultaneous confidence intervals
Citation
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, v.43, no.7, pp.1783 - 1796
Indexed
SCIE
SCOPUS
Journal Title
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION
Volume
43
Number
7
Start Page
1783
End Page
1796
URI
https://scholar.korea.ac.kr/handle/2021.sw.korea/101037
DOI
10.1080/03610918.2012.744045
ISSN
0361-0918
Abstract
This article computes simultaneous confidence intervals for the ratios of marginal means of a multivariate Poisson distribution. For this, we propose a lognormal approximation technique and a bootstrap method. We demonstrate advantages of the proposed methods over existing ones through a simulation study. To illustrate their applicability to real-world problems, we apply the proposed methods to US data on infectious diseases.
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