• DocumentCode
    3275967
  • Title

    The law of large numbers of ρ̃ mixing sequence

  • Author

    Ren, Quanyu ; Zhou, Xuejun

  • Author_Institution
    Fac. of Math. & Inf. Sci., Huanggang Normal Univ., Huanggang, China
  • fYear
    2011
  • fDate
    15-17 April 2011
  • Firstpage
    4630
  • Lastpage
    4633
  • Abstract
    Probability limit theory is not only the main branch of probability theory, but also an important basis to other branches and mathematical statistics. In this paper, we discuss the law of large numbers of ρ̃ mixing sequence. We introduce the Cesaro uniform integrability and the equivalent conditions for arrays of random variables. Then, under these conditions, we establish the weighted arrays of random variables in ρ̃ mixing sequence and the weak law of large numbers and the convergence of Lr.
  • Keywords
    convergence; number theory; probability; random processes; sequences; ρ̃ mixing sequence; Cesaro uniform integrability; convergence; equivalent conditions; large numbers; mathematical statistics; probability limit theory; probability theory; random variables; weighted arrays; Convergence; Electronic mail; Information science; Random variables; Tin; ρ̃ mixing sequence; Lr convergence; associated mixing sequence; complete convergence;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Electric Information and Control Engineering (ICEICE), 2011 International Conference on
  • Conference_Location
    Wuhan
  • Print_ISBN
    978-1-4244-8036-4
  • Type

    conf

  • DOI
    10.1109/ICEICE.2011.5777397
  • Filename
    5777397
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3275967