Advances and Applications in Statistics
Volume 50, Issue 5, Pages 385 - 395
(May 2017) http://dx.doi.org/10.17654/AS050050385 |
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ON CONVOLUTION OF UNIMODAL DISTRIBUTION AND MULTIMODAL DISTRIBUTION
Xiaowu Li, Lin Wang, Mingsheng Zhang, Linke Hou and Juan Liang
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Abstract: In this paper, we present that the convolution of a symmetrical unimodal density distribution and a symmetrical bimodal distribution is either symmetrical unimodal or symmetrical bimodal. We then develop the results: the convolutional modes of a symmetrical unimodal distribution and a symmetrical n-modal distribution are not more than n. Finally, we give some examples to verify our conclusions. |
Keywords and phrases: unimodal distribution, bimodal distribution, n-modal, convolution, modes. |
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