English

Prediction theory in continuous time

Probability 2021-11-17 v1 Statistics Theory Statistics Theory

Abstract

We consider prediction theory for stationary stochastic processes in continuous time. We discuss prediction using the whole (infinite) past, and using only a finite section of the past. The solutions to both these classical problems have long been known. Our focus is to provide short simple proofs which reveal the probabilistic meaning of the results.

Keywords

Cite

@article{arxiv.2111.08560,
  title  = {Prediction theory in continuous time},
  author = {N. H. Bingham},
  journal= {arXiv preprint arXiv:2111.08560},
  year   = {2021}
}

Comments

Dedicated to John Kingman

R2 v1 2026-06-24T07:40:49.696Z