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Title: A commentary on the logistic distribution
Authors: Ghosh, M.
Choi, K.P. 
Li, J. 
Keywords: Double exponential
Generating functions
Scale mixture
Series representation
Issue Date: 2010
Citation: Ghosh, M.,Choi, K.P.,Li, J. (2010). A commentary on the logistic distribution. tThe Legacy of Alladi Ramakrishnan in the Mathematical Sciences : 351-357. ScholarBank@NUS Repository.
Abstract: The paper provides a series representation of the logistic probability density function in terms of differently scaled double exponential distributions with terms of the series alternating in signs. This representation is used to calculate moments, moment generating function, and characteristic function of a logistic distribution. The same representation is also used to derive the logistic distribution as the scale mixture of a normal distribution. © 2010 Springer Science+Business Media, LLC.
Source Title: tThe Legacy of Alladi Ramakrishnan in the Mathematical Sciences
ISBN: 9781441962621
DOI: 10.1007/978-1-4419-6263-8_21
Appears in Collections:Staff Publications

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