Kurtosis: Definition and Properties

Ali Mansour 1 Christian Jutten 2 Ohnishi Noboru 3
Lab-STICC - Laboratoire des sciences et techniques de l'information, de la communication et de la connaissance
Abstract : In various studies on blind separation of sources, one assumes that sources have the same sign of kurtosis. In fact, this assumption seems very strong and in this paper we studied relation between signal distribution and the sign of the kurtosis. A theoretical result has been found in a simple case. However, for more complex distributions, the kurtosis sign cannot be predicted and may change with parameters. The results give theoretical explanation to tricks, like non-permanent adaptation, used in non stationary situations. Keywords: kurtosis, high order statistics, blind identification and separation, probability density function.
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Submitted on : Wednesday, March 20, 2013 - 1:37:26 PM
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  • HAL Id : hal-00802713, version 1


Ali Mansour, Christian Jutten, Ohnishi Noboru. Kurtosis: Definition and Properties. International Conference on Multisource-Multisensor: Data Fusion (FUSION'98), Jul 1998, Las Vegas, United States. ⟨hal-00802713⟩



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