On the generalized lognormal distribution (Q361595)
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scientific article; zbMATH DE number 6203008
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the generalized lognormal distribution |
scientific article; zbMATH DE number 6203008 |
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On the generalized lognormal distribution (English)
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29 August 2013
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Summary: This paper introduces, investigates, and discusses the \(\gamma\)-order generalized lognormal distribution (\(\gamma\)-GLD). Under certain values of the extra shape parameter \(\gamma\), the usual lognormal, log-Laplace, and log-uniform distribution, are obtained, as well as a degenerate Dirac distribution. The shape of all the members of the \(\gamma\)-GLD family is extensively discussed. The cumulative distribution function is evaluated through the generalized error function, while series expansion forms are derived. Moreover, the moments for the \(\gamma\)-GLD are also studied.
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0.9234311
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0.91754365
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0.91553754
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0.91241324
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