• DocumentCode
    893289
  • Title

    On the Gaussian characterization of certain second-order processes with specified covariance

  • Author

    Gutiérrez, Ramón ; Valderrama, Mariano J.

  • Author_Institution
    Dept. of Stat. & Oper. Res., Granada Univ., Spain
  • Volume
    35
  • Issue
    1
  • fYear
    1989
  • fDate
    1/1/1989 12:00:00 AM
  • Firstpage
    210
  • Lastpage
    211
  • Abstract
    The Gaussian processes in the class of second-order processes obtained by functional transformations from the process with covariance function min{t,s} are characterized. As an application, sufficiency conditions are established for the class of second-order processes with covariance k exp{-α|t-s|}, where k>0 and α>O, to be Gaussian
  • Keywords
    information theory; probability; random processes; stochastic processes; Gaussian processes; covariance function; functional transformations; probability; random processes; second-order processes; stochastic processes; sufficiency conditions; Eigenvalues and eigenfunctions; Gaussian processes; Integral equations; Kernel; Markov processes; Random variables; Statistics; Stochastic processes; Sufficient conditions;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.42199
  • Filename
    42199