• شماره ركورد كنفرانس
    5263
  • عنوان مقاله

    K-Level crossing of orthogonal random polynomials

  • پديدآورندگان

    Tarami Bahram tarami@shirazu.ac.ir 1Department of Statistics, College of sciences, Shiraz university, Shiraz, Iran. , Avaji Mohsen mohsenavaji@yahoo.com 2Department of Applied Mathematics, Faculty of Mathematical Sciences, Tabriz University, Tabriz, Iran.

  • تعداد صفحه
    4
  • كليدواژه
    Random polynomials , ‎Legender orthogonal polynomials , ‎K , Level crossing
  • سال انتشار
    1402
  • عنوان كنفرانس
    54 امين كنفرانس رياضي ايران
  • زبان مدرك
    انگليسي
  • چكيده فارسي
    ‎In this article we consider an orthogonal random polynomials with non-identical normal coefficients‎. ‎We show that the expected numbers of K-Level crossing of such random polynomials follows $frac{n}{sqrt{3}}$‎. ‎To prove the main theorem the Kac and Rice formula is used‎.
  • كشور
    ايران