• Title of article

    Large deviation probabilities in estimation of Poisson random measures

  • Author/Authors

    Florens، نويسنده , , Danielle and Pham، نويسنده , , Huyên، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 1998
  • Pages
    23
  • From page
    117
  • To page
    139
  • Abstract
    We consider the parametric estimation problem of intensity measure of a Poisson random measure. We prove large deviation principles for Poisson random measures and an implicit contraction principle. These results are applied to provide a large deviation principle for a maximum likelihood estimator in a parametric statistical model and to explicitly identify the rate function.
  • Keywords
    Maximum likelihood estimator , Poisson random measures , Large deviations
  • Journal title
    Stochastic Processes and their Applications
  • Serial Year
    1998
  • Journal title
    Stochastic Processes and their Applications
  • Record number

    1576275