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Cholaquidis A, Fraiman R, Moreno L. Universally consistent estimation of the reach. J Stat Plan Inference 2022. [DOI: 10.1016/j.jspi.2022.11.007] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/03/2022]
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Rodríguez-Casal A, Saavedra-Nieves P. A data-adaptive method for estimating density level sets under shape conditions. Ann Stat 2022. [DOI: 10.1214/21-aos2168] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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Spatial distribution of invasive species: an extent of occurrence approach. TEST-SPAIN 2022. [DOI: 10.1007/s11749-021-00783-x] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
Abstract
AbstractEcological Risk Assessment faces the challenge of determining the impact of invasive species on biodiversity conservation. Although many statistical methods have emerged in recent years in order to model the evolution of the spatio-temporal distribution of invasive species, the notion of extent of occurrence, formally defined by the International Union for the Conservation of Nature, has not been properly handled. In this work, a novel and flexible reconstruction of the extent of occurrence from occurrence data will be established from nonparametric support estimation theory. Mathematically, given a random sample of points from some unknown distribution, we establish a new data-driven method for estimating its probability support S in general dimension. Under the mild geometric assumption that S is $$r-$$
r
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convex, the smallest $$r-$$
r
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convex set which contains the sample points is the natural estimator. A stochastic algorithm is proposed for determining an optimal estimate of r from the data under regularity conditions on the density function. The performance of this estimator is studied by reconstructing the extent of occurrence of an assemblage of invasive plant species in the Azores archipelago.
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Saavedra-Nieves P. Nonparametric estimation of highest density regions for COVID-19. J Nonparametr Stat 2021. [DOI: 10.1080/10485252.2021.1988083] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
Affiliation(s)
- Paula Saavedra-Nieves
- Department of Statistics, Mathematical Analysis and Optimization, Universidade de Santiago de Compostela, Santiago de Compostela, Spain
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Aamari E, Kim J, Chazal F, Michel B, Rinaldo A, Wasserman L. Estimating the reach of a manifold. Electron J Stat 2019. [DOI: 10.1214/19-ejs1551] [Citation(s) in RCA: 19] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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Aaron C. Convergence rate for the $\lambda $-Medial-Axis estimation under regularity conditions. Electron J Stat 2019. [DOI: 10.1214/19-ejs1581] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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Arias-Castro E, Pateiro-López B, Rodríguez-Casal A. Minimax Estimation of the Volume of a Set Under the Rolling Ball Condition. J Am Stat Assoc 2018. [DOI: 10.1080/01621459.2018.1482751] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/14/2022]
Affiliation(s)
- Ery Arias-Castro
- Department of Mathematics, University of California, San Diego, La Jolla, CA
| | - Beatriz Pateiro-López
- Departamento de Estatística, Análise Matemática e Optimización, Universidade de Santiago de Compostela, Spain
| | - Alberto Rodríguez-Casal
- Departamento de Estatística, Análise Matemática e Optimización, Universidade de Santiago de Compostela, Spain
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