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
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;
Conference_Titel :
Information Theory, 1995. Proceedings., 1995 IEEE International Symposium on
Conference_Location :
Whistler, BC
Print_ISBN :
0-7803-2453-6
DOI :
10.1109/ISIT.1995.550408
