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A Method of Multiscale Modeling Based on the Irregular Tree for a Stochastic Process |
Wen Cheng-lin①②; Shi Jun-jie②③; Zhang Yan-feng② |
①Institute of Information and Control, Hangzhou Dianzi University, Hangzhou 310018, China; ②Department of Computer and Information Engineering, Henan University, Kaifeng 475001, China; ③Department of Information and Technology, Nantong Shipping College, Nantong 226010, China |
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Abstract Based on the modeling methods with the regular tree-structured model, and the Markov characteristics in most phenomena or processes, the multiscale representation with one kind of stochastic processes are presented, and the corresponding multiscale models are also proposed by the introducing irregular tree structure, and some good functions from these new models are illustrated by numerical examples together with computer simulations.
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Received: 05 April 2006
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