A Commentary on the Logistic Distribution

Malay Ghosh (), Kwok Pui Choi () and Jialiang Li ()
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Malay Ghosh: University of Florida, Department of Statistics
Kwok Pui Choi: National University of Singapore, Department of Statistics and Applied Probability
Jialiang Li: National University of Singapore, Department of Statistics and Applied Probability

A chapter in The Legacy of Alladi Ramakrishnan in the Mathematical Sciences, 2010, pp 351-357 from Springer

Abstract: Summary 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.

Keywords: Double exponential; Generating functions; Moments; Normal; Scale mixture; Series representation (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4419-6263-8_21

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DOI: 10.1007/978-1-4419-6263-8_21

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