Abstract
This chapter proves that the Epanechnikov function (a quadratic function) is just the optimal diffusion function in theory. Some models from the kernel theory are introduced to choose the diffusion coefficients. The golden section method is employed to search for a diffusion coefficient for estimating unimodal distributions. We use computer simulation to estimate a lognormal distribution and compare quadratic diffusion with some other estimates.
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© 2002 Springer-Verlag Berlin Heidelberg
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Huang, C., Shi, Y. (2002). Quadratic Diffusion. In: Towards Efficient Fuzzy Information Processing. Studies in Fuzziness and Soft Computing, vol 99. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-1785-0_6
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DOI: https://doi.org/10.1007/978-3-7908-1785-0_6
Publisher Name: Physica, Heidelberg
Print ISBN: 978-3-7908-2511-4
Online ISBN: 978-3-7908-1785-0
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