Time Series and Spatial Statistics
Statistical modeling and inference for dependent data, including time series, conditional spatial regression, two-dimensional ARMA models, random fields, geostatistics, and spatio-temporal processes.
Research interests and current projects in the Department of Statistics at UFPE.
Current research and other methodological areas I plan to explore.
Statistical modeling and inference for dependent data, including time series, conditional spatial regression, two-dimensional ARMA models, random fields, geostatistics, and spatio-temporal processes.
Classical and Bayesian inference, statistical information, divergence-based estimation and hypothesis testing, and asymptotic theory.
Statistical modeling and inference for images, from SAR/PolSAR and environmental remote sensing to emerging biomedical-imaging applications.
Statistical regression for non-Gaussian and correlated outcomes: marginal GEE, mixed and Bayesian hierarchical models, and flexible distributional regression.
Statistical manifolds, geodesic estimation and hypothesis testing, and geometric computation for structured probabilistic models.
Causal identification, semiparametric effect estimation, and spatial or longitudinal causal inference under explicit research-design assumptions.
Annotated references to help students build foundations before choosing a research question.
Research questions that guide work in progress.
Methodological research on spatial dependence, model adequacy and inferential properties.
Probability modeling and uncertainty quantification for summaries derived from polarimetric radar imagery.
Study of methods for assessing model adequacy in spatially dependent observations.
Investigation of how spatial dependence affects the interpretation of statistics derived from radar imagery.
Broad interests for initial conversations. Specific proposals, data and unpublished methods are discussed individually; no vacancies or formal partnerships are announced.
Interest in collaborations combining remote-sensing data, spatial analysis, and domain expertise on environmental or population-level questions.
Feasibility question: The question, data, and methodological feasibility would be defined with collaborators.
Interest in methodological questions involving dependence, coherent model construction, and uncertainty quantification.
Feasibility question: Any project depends on a well-defined scientific formulation and verifiable assumptions.
Interest in reproducible software and critical comparisons of computational methods for spatial statistical models.
Feasibility question: Methods and implementation details would depend on the model and the team.