Ukrainian Mathematical Journal

, Volume 50, Issue 4, pp 533–538 | Cite as

A limit theorem for mixing processes subject to rarefaction. I

  • V. O. Gasanenko


We prove a limit theorem on the approximation of point mixing processes subject to rarefaction by general renewal processes. This theorem contains a weaker condition on the mixing coefficient than the known conditions.


Limit Theorem Limit Point Weak Convergence Renewal Process Mathematical Expectation 
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Copyright information

© Kluwer Academic/Plenum Publishers 1999

Authors and Affiliations

  • V. O. Gasanenko
    • 1
  1. 1.Institute of MathematicsUkrainian Academy of SciencesKiev

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