Geometric structures of the three-parameter burr distribution manifold

Based on the theory of information geometry, the three-parameter burr distribution manifold is established, and a series of geometric properties of Fisher information matrix, inverse matrix, tensor, α-connection and Riemannian curvature are calculated.At the same time, we also give two submanifolds of three-parameter burr distribution manifoldsand calculate the related geometric properties. The geometric structure of three-parameter burr distribution can be further understood to solve related problems by using the calculation and relevant conclusions.