A simple and efficient method of simulation is discussed for point processes that are specified by their conditional intensities. The method is based on the thinning algorithm which was introduced recently by Lewis and Shedler for the simulation of nonhomogeneous Poisson processes. Algorithms are given for past dependent point processes containing multivariate processes. The simulations are performed for some parametric conditional intensity functions, and the accuracy of the simulated data is demonstrated by the likelihood ratio test and the minimum Akaike information criterion (AIC) procedure.
IEEE Xplore Abstract Record:C\:\\Users\\Jan\\Zotero\\storage\\E8IKYY44\\1056305.html:text/html;IEEE Xplore Full Text PDF:C\:\\Users\\Jan\\Zotero\\storage\\XM7M3EVU\Øgata - 1981 - On Lewis' simulation method for point processes.pdf:application/pdf
%0 Journal Article
%1 ogata_lewis_1981
%A Ogata, Y.
%D 1981
%J IEEE Transactions on Information Theory
%K Point point processes
%N 1
%P 23--31
%R 10.1109/TIT.1981.1056305
%T On Lewis' simulation method for point processes
%V 27
%X A simple and efficient method of simulation is discussed for point processes that are specified by their conditional intensities. The method is based on the thinning algorithm which was introduced recently by Lewis and Shedler for the simulation of nonhomogeneous Poisson processes. Algorithms are given for past dependent point processes containing multivariate processes. The simulations are performed for some parametric conditional intensity functions, and the accuracy of the simulated data is demonstrated by the likelihood ratio test and the minimum Akaike information criterion (AIC) procedure.
@article{ogata_lewis_1981,
abstract = {A simple and efficient method of simulation is discussed for point processes that are specified by their conditional intensities. The method is based on the thinning algorithm which was introduced recently by Lewis and Shedler for the simulation of nonhomogeneous Poisson processes. Algorithms are given for past dependent point processes containing multivariate processes. The simulations are performed for some parametric conditional intensity functions, and the accuracy of the simulated data is demonstrated by the likelihood ratio test and the minimum Akaike information criterion (AIC) procedure.},
added-at = {2020-01-31T19:19:18.000+0100},
author = {Ogata, Y.},
biburl = {https://www.bibsonomy.org/bibtex/22a235776cac8f37175b02b94f2c75c93/mannbachm},
doi = {10.1109/TIT.1981.1056305},
file = {IEEE Xplore Abstract Record:C\:\\Users\\Jan\\Zotero\\storage\\E8IKYY44\\1056305.html:text/html;IEEE Xplore Full Text PDF:C\:\\Users\\Jan\\Zotero\\storage\\XM7M3EVU\\Ogata - 1981 - On Lewis' simulation method for point processes.pdf:application/pdf},
interhash = {1856d189eca37c974fac2361d01f3bc5},
intrahash = {2a235776cac8f37175b02b94f2c75c93},
issn = {0018-9448, 1557-9654},
journal = {IEEE Transactions on Information Theory},
keywords = {Point point processes},
month = jan,
number = 1,
pages = {23--31},
timestamp = {2020-01-31T19:20:14.000+0100},
title = {On {Lewis}' simulation method for point processes},
volume = 27,
year = 1981
}