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Large Deviations for Statistics of Jacobi Process

Probability 2007-05-23 v1

Abstract

In this paper, we derive a handable expression for the Jacobi process semi group which is given by a bilinear series involving Jacobi polynomials. Our attempt uses a subordination of the considered process by means of a suitable random change. Once we did, we will be able, in the ultraspheric case, to derive a LDP for a family of estimators based on a single trajectory of the process.

Keywords

Cite

@article{arxiv.math/0611884,
  title  = {Large Deviations for Statistics of Jacobi Process},
  author = {Nizar Demni and Marguerite Zani},
  journal= {arXiv preprint arXiv:math/0611884},
  year   = {2007}
}