Title :
Performance analysis of hypothesis testing for pairwise interaction point processes
Author :
Gubner, John A. ; Chang, Wei-Bin ; Hayat, Majeed M.
Author_Institution :
Dept. of Electr. & Comput. Eng., Wisconsin Univ., Madison, WI, USA
Abstract :
The sufficient statistic for the likelihood ratio test between pairwise interaction point processes is well-known. However, the evaluation of its performance is a challenging problem. In this paper it is shown that the distribution of the sufficient statistic can be approximated by the distribution of a Poisson-driven shot-noise random variable. This latter distribution can be readily computed using numerical methods.
Keywords :
Poisson distribution; approximation theory; random processes; shot noise; statistical analysis; stochastic processes; Poisson-driven shot-noise random variable; hypothesis testing; likelihood ratio test; numerical methods; pairwise interaction point processes; performance analysis; sufficient statistic; Biological system modeling; Distributed computing; Environmental factors; Error analysis; Forestry; Performance analysis; Random variables; Statistical analysis; Statistical distributions; Testing;
Conference_Titel :
Signals, Systems & Computers, 1997. Conference Record of the Thirty-First Asilomar Conference on
Conference_Location :
Pacific Grove, CA, USA
Print_ISBN :
0-8186-8316-3
DOI :
10.1109/ACSSC.1997.679074
