Name
Title | ||
|---|---|---|
Asymptotic distributions for the performance analysis of hypothesis testing of isolated-point-penalization point processes |
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 log-likelihood function for point processes with the isolated-point-penalization 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 empirical results generated using Markov-chain Monte Carlo simulation. The reported results provide an efficient alternative method to simulation in assessing the performance of hypothesis testing for the point-process model considered |
Year | DOI | Venue |
|---|---|---|
1999 | 10.1109/18.746786 | IEEE Transactions on Information Theory |
Keywords | Field | DocType |
point process,many-point interaction,iso- lated points,hypothesis testing,poissonian asymptotic distribution,asymptotic distribution,performance analysis,isolated-point-penalization joint probability density,isolated point,many-point interaction point process,markov-chain monte carlo simulation,likelihood ratio test,detection probability,poisson ap- proximation.,index terms— detection probability,isolated-point-penalization point process,log-likelihood function,neural networks,image analysis,probability density function,markov chain monte carlo,seismology,signal processing,likelihood function,log likelihood function,testing,joint probability density function,approximation theory,hypothesis test,indexing terms,forestry,poisson distribution | Discrete mathematics,Applied mathematics,Mathematical optimization,Monte Carlo method,Likelihood function,Likelihood-ratio test,Point process,p-value,Asymptotic analysis,Probability density function,Mathematics,Asymptotic distribution | Journal |
Volume | Issue | ISSN |
45 | 1 | 0018-9448 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| M. M. Hayat | 1 | 37 | 5.89 |
| J. A. Gubner | 2 | 150 | 17.76 |
| S. Abdullah | 3 | 0 | 0.34 |