• DocumentCode
    2935951
  • Title

    A two-step Markov point process

  • Author

    Hayat, Majeed M. ; Gubner, John A.

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Wisconsin Univ., Madison, WI, USA
  • fYear
    1995
  • fDate
    17-22 Sep 1995
  • Firstpage
    421
  • Abstract
    The existence and uniqueness are established for a translation-invariant Gibbs measure corresponding to a spatial point process that has, in addition to inhibition and clustering, the new-feature of penalizing isolated points. This point process has the so-called two-step Markov property, and the associated density function is characterized in terms of 2-interaction functions. The asymptotic normality of certain statistics of the point process is established when the size of the observation window tends to IR2
  • Keywords
    Markov processes; statistical analysis; stochastic processes; 2-interaction functions; asymptotic normality; clustering; density function; existence; inhibition; observation window size; penalizing isolated points; spatial point process; statistics; translation-invariant Gibbs measure; two-step Markov point process; two-step Markov property; uniqueness; Density functional theory; Electric variables measurement; Statistics; Temperature distribution;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory, 1995. Proceedings., 1995 IEEE International Symposium on
  • Conference_Location
    Whistler, BC
  • Print_ISBN
    0-7803-2453-6
  • Type

    conf

  • DOI
    10.1109/ISIT.1995.550408
  • Filename
    550408
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2935951