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

Volume

2

fYear

1997

fDate

2-5 Nov. 1997

Firstpage

1092

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Signals, Systems & Computers, 1997. Conference Record of the Thirty-First Asilomar Conference on

Conference_Location

Pacific Grove, CA, USA

ISSN

1058-6393

Print_ISBN

0-8186-8316-3

Type

conf

DOI

10.1109/ACSSC.1997.679074

Filename

679074