Influence diagnostics in elliptical spatial linear models

• Fernanda De Bastiani ^[1] ; Audrey Helen Mariz de Aquino Cysneiros ^[1] ; Manuel Galea ^[2]
  1. [1] Universidade Federal de Pernambuco

     Universidade Federal de Pernambuco

     Brasil

     
  2. [2] Pontificia Universidad Católica de Chile

     Pontificia Universidad Católica de Chile

     Santiago, Chile

     
• Localización: Test: An Official Journal of the Spanish Society of Statistics and Operations Research, ISSN-e 1863-8260, ISSN 1133-0686, Vol. 24, Nº. 2, 2015, págs. 322-340
• Idioma: inglés
• DOI: 10.1007/s11749-014-0409-z
• Texto completo no disponible (Saber más ...)
• Resumen

  • In recent years, there has been a growing interest in statistical methods for the analysis of spatially referenced data. The spatial dependence structure modeling is an indispensable tool to estimate the parameters that define this structure. In this paper, we use the family of elliptical distributions to estimate the spatial dependence in referenced data. Thus we extend the Gaussian spatial linear model. Also we use the local influence methodology to assess the sensitivity of the maximum likelihood estimators to small perturbations in the data and/or in the spatial linear model assumptions. The methodology is illustrated with a real data set. The results allowed us to conclude that the presence of atypical values in the sample data have a strong influence, changing the spatial dependence structure. Also we have included a small simulation study.