Two-dimensional discrete scan statistics

Chen, Jie; Glaz, Joseph

doi:10.1016/0167-7152(95)00014-3

Cited by 72 publications

(36 citation statements)

References 16 publications

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“…The generalization to spatial scan statistics is considered in [Naus, 1965], [Adler, 1984], [Loader, 1991], and [Chen and Glaz, 1996]. As noted by [Cressie, 1993], exact results for d = 2 have proved elusive; approximations to the p−value based on extreme value theory are in general all that is available.…”

mentioning

confidence: 99%

Scan Statistics on Enron Graphs

Priebe

Conroy²,

Marchette

et al. 2005

Comput Math Organiz Theor

270

244

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mentioning

confidence: 99%

Scan Statistics on Enron Graphs

Priebe

Conroy²,

Marchette

et al. 2005

Comput Math Organiz Theor

270

244

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“…Multivariate geovisualization techniques such as map time series, space-time cube (Carlstein, 1978), time line graph legends (Slocum et al, 2009), Scan (Chen and Glaz, 1996) and Emerging Hotspots (Gudes and Varhol, 2015) may be useful for such analyses.…”

Section: Discussionmentioning

confidence: 99%

Multivariate Geovisualization of Dengue, Zika and Chikungunya Cases in Brazil: A Didactic Experience

Vasconcelos

Pinho

2017

Hygeia

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In recent decades, the Aedes aegypti mosquito, the vector of dengue, Zika, chikungunya and other diseases, has become an increasing concern in Brazil and other tropical countries. However, the spatial distribution of these diseases in Brazil is not homogeneous, implying that there are distinct risk levels and various guiding strategies for fighting these diseases. This paper presents a didactic exploratory multivariate spatial data analysis of dengue, Zika and chikungunya cases in Brazil in 2016 in the context of an undergraduate course. The students elaborated, interpreted and discussed multivariate maps using techniques such as proportional symbols, hachure density, bivariate and trivariate choropleth composition, contiguous cartograms, conditional maps and matrices of maps and graphs. The students investigated the various interpretative possibilities based on the intrinsic and extrinsic combinations of multivariate geovisualizations. Through their interpretations of the spatial representations, the students were able to identify that the states of Rio Grande do Norte, Paraíba and Alagoas are experiencing the most critical situations for these three diseases, while the state of Minas Gerais has a serious situation only for dengue. In contrast, the maps clearly revealed that the states of Rio Grande do Sul, Santa Catarina and the Northern Region of the country experienced fewer cases of the diseases. It can be concluded that the undergraduate course improved the students' abilities to build and interpret spatial representations using geotechnologies.Keywords: Aedes aegypti. Dengue. Zika. Chikungunya. Geovisualization. Exploratory Spatial Data Analysis. Geotechnology. Geographic Information Systems. Didactics. RESUMOA transmissão de Dengue, Zika, Chikungunya e outras enfermidades pelo mosquito Aedes aegypti tem se tornado, no decorrer das últimas décadas, uma preocupação cada vez mais relevante no Brasil e em outros países tropicais. Todavia, a distribuição espacial dos casos dessas doenças no Brasil não é homogênea, implicando diferentes graus de risco e estratégias de combate às doenças. Este artigo apresenta uma experiência didática de análise exploratória espacial multivariada dos dados de ocorrência de Dengue, Zika e Chikungunya no Brasil, em 2016, no contexto de uma disciplina de graduação. Foram elaborados, interpretados discutidos, em conjunto com os estudantes, mapas multivariados utilizando técnicas de símbolos proporcionais, densidade de hachuras, composição coroplética bivariada e trivariada, cartogramas contíguos, mapas condicionais e matrizes de mapas e gráficos. Investigaram-se as diversas possibilidades de interpretação a partir das combinações intrínsecas e extrínsecas de geovisualização multivariada.

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“…Two very accurate approximations for P (S m×m k) for the Poisson model are presented in the literature. Following the product-type approximation, the first of them is given by [25]:…”

Section: Poisson Modelmentioning

confidence: 99%

“…The scan statistic S m×m , defined in equation (4), has been used in [25] to test the null hypothesis of randomness that assumes the X ij s are i.i.d. Bernoulli random variables with parameter P (X ij = 1) = p 0 , and similarly to test a constant-intensity Poisson null hypothesis.…”

Section: A Definitionsmentioning

confidence: 99%

Distributed Target Detection in Sensor Networks Using Scan Statistics

Guerriero

Willett

Glaz

2009

IEEE Trans. Signal Process.

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We introduce a sequential procedure to detect a target with distributed sensors in a two dimensional region. The detection is carried out in a mobile fusion center which successively counts the number of binary decisions reported by local sensors lying inside its moving field of view. This is a two-dimensional scan statistic -an emerging tool from the statistics field that has been applied to a variety of anomaly detection problems such as of epidemics or computer intrusion, but that seems to be unfamiliar to the signal processing community. We show that an optimal size of the field of view exists. We compare the sequential two-dimensional scan statistic test and two other tests. Results for system level detection are presented.

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Two-dimensional discrete scan statistics

Cited by 72 publications

References 16 publications

Scan Statistics on Enron Graphs

Scan Statistics on Enron Graphs

Multivariate Geovisualization of Dengue, Zika and Chikungunya Cases in Brazil: A Didactic Experience

Distributed Target Detection in Sensor Networks Using Scan Statistics

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