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Estimating the dimension of a fractal point process

机译:估计分形过程的维数

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Abstract: We discuss issues involved in estimating the dimension of a fractal point process. We first define the term fractal point process and provide some examples of experimental phenomena for which they serve as suitable models. We then develop mathematical formulations of fractal point processes, and present two methods for dimension estimation and an analysis of their performance. Finally, we compare this analysis with results from both simulated and natural examples of fractal point processes.!26
机译:摘要:我们讨论了估计分形点过程维数所涉及的问题。我们首先定义术语分形点过程,并提供一些实验现象的示例,并将其用作合适的模型。然后,我们开发分形点过程的数学公式,并提出两种用于维数估计和对其性能进行分析的方法。最后,我们将此分析与分形点过程的模拟实例和自然实例的结果进行比较!26

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