1999
DOI: 10.1109/18.746786
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Asymptotic distributions for the performance analysis of hypothesis testing of isolated-point-penalization point processes

Abstract: Abstract-The performance of the likelihood ratio test is considered for a many-point interaction point process featuring a reduced number of isolated points. Limit theorems are proved that establish the Poissonian asymptotic distribution of the loglikelihood function for point processes with the isolated-pointpenalization joint probability density function. The asymptotic distribution is used to approximate the detection probability associated with the likelihood ratio test. The approximation is compared to em… Show more

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