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An Autoregressive Model with Semi-stable Marginals

Probability 2007-06-13 v2 Statistics Theory Statistics Theory

Abstract

The family of semi-stable laws is shown to be semi-selfdecomposable. Thus they qualify to model stationary first order autoregressive schemes. A connection between these autoregressive schemes with semi-stable marginals and semi-selfsimilar processes is given.

Keywords

Cite

@article{arxiv.math/0602286,
  title  = {An Autoregressive Model with Semi-stable Marginals},
  author = {S Satheesh and E Sandhya},
  journal= {arXiv preprint arXiv:math/0602286},
  year   = {2007}
}

Comments

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R2 v1 2026-07-22T17:31:29.528Z