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Analysis of local influence in geostatistics using Student's t-distribution
Authors:RAB Assumpção  MA Uribe-Opazo  M Galea
Institution:1. Colegiado de Matemática, Universidade Tecnológica Federal do Paraná, Rua Cristo Rei, 19, Vila Becker, 85902-490 Toledo, PR, Brazil;2. Centro de Ciências Exatas e Tecnológicas, Universidade Estadual do Oeste do Paraná, Rua Universitária 119, Jardim Universitário, 85814-110 Cascavel, PR, Brazil;3. Departamento de Estadística, Pontificia Universidad Católica de Chile, Santiago, Chile
Abstract:This article aims to estimate parameters of spatial variability with Student's t-distribution by the EM algorithm and present the study of local influence by means of two methods known as likelihood displacement and Q-displacement of likelihood, both using Student's t-distribution with fixed degrees of freedom (ν). The results showed that both methods are effective in the identification of influential points.
Keywords:spatial variability  Q-displacement of likelihood  EM algorithm  diagnostics
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