Venice Sea Levels Analysis

This lecture analyzes Venice sea levels from 1887 to 2017, focusing on maximum annual levels and their estimation. The data sources for different periods are compared, and a straight-line regression model is used for analysis. Gumbel-scale residuals and model-checking techniques are applied to assess the fit of the data. Different models with varying parameters are fitted, and the likelihood of trend inclusion is evaluated. The lecture also explores the joint density of order statistics and the use of Gumbel distributions. The significance of trends and parameter changes is discussed, along with the implications for model selection.