A new adaptive procedure for multiple window scan statistics

2015 ◽  
Vol 82 ◽  
pp. 164-172 ◽  
Author(s):  
Tung-Lung Wu ◽  
Joseph Glaz
2004 ◽  
Vol 31 (8) ◽  
pp. 967-980 ◽  
Author(s):  
Joseph Glaz ◽  
Zhenkui Zhang

2013 ◽  
Vol 50 (04) ◽  
pp. 1089-1101 ◽  
Author(s):  
Tung-Lung Wu ◽  
Joseph Glaz ◽  
James C. Fu

The distributions of discrete, continuous and conditional multiple window scan statistics are studied. The finite Markov chain imbedding technique has been applied to obtain the distributions of fixed window scan statistics defined from a sequence of Bernoulli trials. In this manuscript the technique is extended to compute the distributions of multiple window scan statistics and the exact powers for multiple pulse and Markov dependent alternatives. An application in blood component quality monitoring is provided. Numerical results are also given to illustrate our theoretical results.


2013 ◽  
Vol 50 (4) ◽  
pp. 1089-1101 ◽  
Author(s):  
Tung-Lung Wu ◽  
Joseph Glaz ◽  
James C. Fu

The distributions of discrete, continuous and conditional multiple window scan statistics are studied. The finite Markov chain imbedding technique has been applied to obtain the distributions of fixed window scan statistics defined from a sequence of Bernoulli trials. In this manuscript the technique is extended to compute the distributions of multiple window scan statistics and the exact powers for multiple pulse and Markov dependent alternatives. An application in blood component quality monitoring is provided. Numerical results are also given to illustrate our theoretical results.


2015 ◽  
Vol 104 (14) ◽  
pp. 1-8 ◽  
Author(s):  
Francesea Barbagallo ◽  
Melina Bosco ◽  
Aurelio Ghersi ◽  
Edoardo M. Marino

Author(s):  
Katyucia O C de Souza ◽  
José Augusto P Góes ◽  
Matheus S Melo ◽  
Paula M G Leite ◽  
Lucas A Andrade ◽  
...  

Abstract Background Leptospirosis is an endemic disease in Brazil of social and economic relevance related to behavioural and socioenvironmental factors. This study aimed to analyse the spatiotemporal distribution of the incidence of leptospirosis and its association with social determinants in health in a state of northeastern Brazil. Methods An ecological study of temporal series with techniques of spatial analysis using secondary data of the cases of leptospirosis notified in the Information System of Notifiable Diseases of the state of Sergipe (2008–2017) was conducted. The analysis of temporal trends was performed using Poisson regression. Spatial analyses were performed using the Moran index, the local empirical Bayesian model, scan statistics and spatial regression. Results The incidence rate decreased from 3.66 to 1.44 cases per 100 000 inhabitants in 2008 and 2017, respectively. Leptospirosis was associated with social inequities, mostly affecting males aged 20–49 y living in urban areas. The space-time scan indicated the formation of a risk cluster in municipalities in the metropolitan region of the state. Conclusions The data indicated the persistence of leptospirosis transmission, maintaining a pattern of high endemicity in some municipalities associated with social inequities. The study showed the temporal and spatial dynamics of the disease to better target specific actions for prevention and control.


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