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1 results

  • 9 - State-Space Models

  • from Part II - Statistical Models
  • Steve Pressé, Arizona State University, Ioannis Sgouralis, University of Tennessee, Knoxville
  • Book:
    Data Modeling for the Sciences
    Published online:
    17 August 2023
    Print publication:
    31 August 2023, pp 318-332

  • Summary

    In this chapter we extend our discussion of the previous chapter to model dynamical systems with continuous state-spaces. We present statistical formulations to model and analyze noisy trajectories that evolve in a continuous state space whose output is corrupted by noise. In particular, we place special emphasis on linear Gaussian state-space models and, within this context, present Kalman filtering theory. The theory presented herein lends itself to the exploration of tracking algorithms explored in the chapter and in an end-of-chapter project.