A test for directional-linear independence, with applications to wildfire orientation and size

García‐Portugués, Eduardo; Barros, Ana M. G.; Crujeiras, Rosa M.; González–Manteiga, Wenceslao; Pereira, José M. C.

doi:10.1007/s00477-013-0819-6

Cited by 30 publications

(28 citation statements)

References 36 publications

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“…We sought to quantify whether there are geographic regions in GB where a higher number of tests does not lead to the detection of more infected herds/cattle. While in general as more tests are carried out, more TB infected herds are likely to be found (DEFRA 2014a), an absence of correlation between number of tests and number of detections can provide statistical inference that herds are tested sufficiently often so that additional testing would not facilitate the detection of TB infected herds/cattle and a higher slope in the regression implies that more frequent testing would lead to higher detection of TB infected herds/cattle (García-Portugués et al 2014;Guo et al 2006;Weisberg 2014). We therefore examined the slopes of linear regressions between total cattle slaughtered vs. total tests on herds and total cattle tests.…”

Section: Analysis Between Total Tests On Herds and Total Cattle Slaugmentioning

confidence: 99%

Regional and temporal characteristics of bovine tuberculosis of cattle in Great Britain

Moustakas

Evans

2015

Stoch Environ Res Risk Assess

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Bovine tuberculosis (TB) is a chronic disease in cattle that causes a serious food security challenge to the agricultural industry in terms of dairy and meat production. Spatio-temporal disease analysis in terms of time trends and geographic disparities of disease dynamics can provide useful insights into the overall efficiency of control efforts as well as the relative efficiency of different management measures towards eradication. In GB, Scotland has had a risk based surveillance testing policy under which high risk herds are tested frequently, and in September 2009 was officially declared as TB free. Wales have had an annual or more frequent testing policy for all cattle herds since January 2010, while in England several herds are still tested every 4 years except some high TB prevalence areas where annual testing is applied. Time series analysis using publicly available data for total tests on herds, total cattle slaughtered, new herd incidents, and herds not TB free, were analysed globally for GB and locally for the constituent regions of Wales, Scotland, West, North, and East England. After detecting trends over time, underlying regional differences were compared with the testing policies in the region. Total cattle slaughtered are decreasing in Wales, Scotland and West England, but increasing in the North and East English regions. New herd incidents, i.e., disease incidence, are decreasing in Wales, Scotland, West English region, but increasing in North and East English regions. Herds not TB free, i.e., disease prevalence, are increasing in West, North, and East English regions, while they are decreasing in Wales and Scotland. Total cattle slaughtered were positively correlated with total tests in the West, North, and East English regions, with high slopes of regression indicating that additional testing is likely to facilitate the eradication of the disease. There was no correlation between total cattle slaughtered and total tests on herds in Wales indicating that herds are tested frequent enough in order to detect all likely cases and so control TB. The main conclusion of the analysis conducted here is that more frequent testing is leading to lower TB infections in cattle both in terms of TB prevalence as well as TB incidence.

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Section: Analysis Between Total Tests On Herds and Total Cattle Slaugmentioning

confidence: 99%

Regional and temporal characteristics of bovine tuberculosis of cattle in Great Britain

Moustakas

Evans

2015

Stoch Environ Res Risk Assess

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“…For example, in meteorology, the aim could be to order wind directions from different atmospheric phenomena or to order the spread of fires [47,48,49].…”

Section: Final Discussion and Future Researchmentioning

confidence: 99%

Circular Order Aggregation and Its Application to Cell-Cycle Genes Expressions

Barragán

Rueda

Fernández

2017

IEEE/ACM Trans. Comput. Biol. and Bioinf.

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Abstract-The aim of circular rank aggregation is to find a circular rank or order on a set of n items using angular values from p heterogeneous data sets. This problem is new in the literature and has been motivated by the biological question of finding the order among the peak expression of a group of cell cycle genes. In this paper, two very different approaches to solve the problem that use pairwise and triplewise information are proposed. Both approaches are analyzed and compared using theoretical developments and numerical studies, and applied to the cell cycle data that motivated the problem.

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“…where f X,Y is the joint directional-linear density, and f X and f Y are the marginals. To that aim, García-Portugués et al (2014) propose the statistic…”

Section: Density-based Testsmentioning

confidence: 99%

Smoothing-Based Tests with Directional Random Variables

García‐Portugués

Crujeiras

González–Manteiga

2018

Studies in Systems, Decision and Control

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Testing procedures for assessing specific parametric model forms, or for checking the plausibility of simplifying assumptions, play a central role in the mathematical treatment of the uncertain. No certain answers are obtained by testing methods, but at least the uncertainty of these answers is properly quantified. This is the case for tests designed on the two most general data generating mechanisms in practice: distribution/density and regression models. Testing proposals are usually formulated on the Euclidean space, but important challenges arise in non-Euclidean settings, such as when directional variables (i.e., random vectors on the hypersphere) are involved. This work reviews some of the smoothing-based testing procedures for density and regression models that comprise directional variables. The asymptotic distributions of the revised proposals are presented, jointly with some numerical illustrations justifying the need of employing resampling mechanisms for effective test calibration.

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A test for directional-linear independence, with applications to wildfire orientation and size

Cited by 30 publications

References 36 publications

Regional and temporal characteristics of bovine tuberculosis of cattle in Great Britain

Regional and temporal characteristics of bovine tuberculosis of cattle in Great Britain

Circular Order Aggregation and Its Application to Cell-Cycle Genes Expressions

Smoothing-Based Tests with Directional Random Variables

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