<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">H.T. BANKS</style></author><author><style face="normal" font="default" size="100%">MICHELE L. JOYNER</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">DETERMINISTIC METHODOLOGY FOR COMPARISON OF NESTED STOCHASTIC MODELS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><alt-title><style face="normal" font="default" size="100%">CAA</style></alt-title><short-title><style face="normal" font="default" size="100%">COMPARISON OF NESTED STOCHASTIC MODELS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">37H10</style></keyword><keyword><style  face="normal" font="default" size="100%">37L55</style></keyword><keyword><style  face="normal" font="default" size="100%">93E03</style></keyword><keyword><style  face="normal" font="default" size="100%">94A30</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2017</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2017</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/21/1/5.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">21</style></volume><pages><style face="normal" font="default" size="100%">50</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;We consider model comparison techniques for three different classes of stochastic models: continuous time Markov chains (CTMC), stochastic differential equations (SDE), and random differential equations (RDE). For nested models, we extend the statistically-based ideas and techniques developed earlier by Banks and Fitzpatrick [4] for deterministic differential equation models to these three types of stochastic systems. We illustrate the ideas in the context of examples with simulated data and then apply the ideas to inverse problems for growth data from algae experiments.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">15</style></section></record></records></xml>