• Title of article

    Basic renewal theorems for random walks with widely dependent increments

  • Author/Authors

    Wang، نويسنده , , Yuebao and Cheng، نويسنده , , Dongya، نويسنده ,

  • Issue Information
    دوهفته نامه با شماره پیاپی سال 2011
  • Pages
    10
  • From page
    597
  • To page
    606
  • Abstract
    In this paper, we derive some basic renewal theorems for random walks with widely dependent increments, which contain some common negatively dependent random variables (r.v.s.), some positively dependent r.v.s. and some others. For this purpose, we investigate uniform integrability for related counting processes and the strong law of large numbers for the widely dependent r.v.s.
  • Keywords
    Basic renewal theorems , Wide dependence , Uniform integrability , The strong law of large numbers
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Serial Year
    2011
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Record number

    1562191