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Computing the Range of Variance-to-Mean Ratio under Interval and Fuzzy Uncertainty
Sio-Long Lo, Macau University of Science and Technology Gang Xiang, University of Texas at El Paso
12-2010
Technical Report: UTEP-CS-10-28a
Published in Proceedings of the 30th Annual Conference of the North American Fuzzy Information Processing Society NAFIPS'2011, El Paso, Texas, March 18-20, 2011.
In many practical problems such as radar imaging, it is useful to compute the variance-to-mean ratio. The need is important because for the sum of k identical independent signal components, both the variance and the mean are multiplied by k, so this ratio is independent on k and thus, provides useful information about the components. In practice, we only know the samples values with uncertainty. It is therefore necessary to compute the variance-to-mean ratio under this uncertainty. In this paper, we present efficient algorithms for computing this ratio under interval and fuzzy uncertainty.
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Technical Report: UTEP-CS-10-28a
Published in Proceedings of the 30th Annual Conference of the North American Fuzzy Information Processing Society NAFIPS'2011, El Paso, Texas, March 18-20, 2011.