The article explores different ways to describe the behavior of anyons, which are particles with fractional statistics. The researchers looked at various models to understand how anyons occupy different energy levels. They found relationships between anyonic statistics and other types of fractional statistics, like deformed Polychronakos and Haldane-Wu statistics. The study also examined how these statistics change when modified with q-exponentials or Gentile statistics. Overall, the research sheds light on the complex nature of anyonic behavior and its connections to other types of statistics.