• DocumentCode
    3397162
  • Title

    Almost sure central limit theorem on maxima and minima

  • Author

    Liu Ke ; Ren Xiang ; Jiang Huanjun

  • Author_Institution
    Sch. of Math. & Syst. Sci., Taishan Univ., Taian, China
  • fYear
    2011
  • fDate
    19-22 Aug. 2011
  • Firstpage
    1981
  • Lastpage
    1984
  • Abstract
    We prove an almost sure central limit theorem on maxima and minimal: lim(n → ∞) 1/ log n Σnk=1 1/k(l) (vK <; m K ≤ M K ≤ μK) = e(T+η) a.s. as the Stationary Gaussian sequence with covariance rn under the condition 1/n Σ(k=1) |rk| log l exp {γ|rk|log k } ≪ (log log n)-(1+ε).
  • Keywords
    Gaussian processes; optimisation; almost sure central limit theorem; maxima; minima; stationary Gaussian sequence; Convergence; Covariance matrix; Educational institutions; Lead; Manganese; Random variables; Almost sure central limit theorem; Stationary Gaussian sequence;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Mechatronic Science, Electric Engineering and Computer (MEC), 2011 International Conference on
  • Conference_Location
    Jilin
  • Print_ISBN
    978-1-61284-719-1
  • Type

    conf

  • DOI
    10.1109/MEC.2011.6025877
  • Filename
    6025877
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3397162