• Title of article

    Exponential martingale and large deviations for a Cox risk process with Poisson shot noise intensity

  • Author/Authors

    Yan، نويسنده , , Jun and Gao، نويسنده , , Fuqing، نويسنده ,

  • Issue Information
    دوهفته نامه با شماره پیاپی سال 2012
  • Pages
    10
  • From page
    74
  • To page
    83
  • Abstract
    We introduce an exponential martingale for a Cox risk process with Poisson shot noise intensity. As applications of the exponential martingale, we obtain the sample path large and moderate deviation principles. Finally, we give an estimate of ruin probability.
  • Keywords
    Large deviations , Poisson shot noise , Exponential martingale , Cox process
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Serial Year
    2012
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Record number

    1562898