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On APF Test for Poisson Process with Shift and Scale Parameters

Statistics Theory 2018-06-19 v1 Statistics Theory

Abstract

We propose the goodness of fit test for inhomogeneous Poisson processes with unknown scale and shift parameters. A test statistic of Cramer-von Mises type is proposed and its asymptotic behavior is studied. We show that under null hypothesis the limit distribution of this statistic does not depend on unknown parameters.

Keywords

Cite

@article{arxiv.1806.06405,
  title  = {On APF Test for Poisson Process with Shift and Scale Parameters},
  author = {A. S. Dabye and Yu. A. Kutoyants and E. D. Tanguep},
  journal= {arXiv preprint arXiv:1806.06405},
  year   = {2018}
}

Comments

15 pages

R2 v1 2026-06-23T02:32:26.541Z