On the Generalized Lognormal Distribution
This paper introduces, investigates, and discusses the -order generalized lognormal distribution (-GLD). Under certain values of the extra shape parameter , the usual lognormal, log-Laplace, and log-uniform distribution, are obtained, as well as the degenerate Dirac distribution. The shape of all th...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Probability and Statistics |
| Online Access: | http://dx.doi.org/10.1155/2013/432642 |
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| _version_ | 1832564649199927296 |
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| author | Thomas L. Toulias Christos P. Kitsos |
| author_facet | Thomas L. Toulias Christos P. Kitsos |
| author_sort | Thomas L. Toulias |
| collection | DOAJ |
| description | This paper introduces, investigates, and discusses the -order generalized lognormal distribution (-GLD). Under certain values of the extra shape parameter , the usual lognormal, log-Laplace, and log-uniform distribution, are obtained, as well as the degenerate Dirac distribution. The shape of all the members of the -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 -GLD are also studied. |
| format | Article |
| id | doaj-art-f343908de7e04fd7bfe542c21300dbe2 |
| institution | Kabale University |
| issn | 1687-952X 1687-9538 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Probability and Statistics |
| spelling | doaj-art-f343908de7e04fd7bfe542c21300dbe22025-02-03T01:10:31ZengWileyJournal of Probability and Statistics1687-952X1687-95382013-01-01201310.1155/2013/432642432642On the Generalized Lognormal DistributionThomas L. Toulias0Christos P. Kitsos1Technological Educational Institute of Athens, Department of Mathematics, Ag. Spyridonos & Palikaridi Street, 12210 Egaleo, Athens, GreeceTechnological Educational Institute of Athens, Department of Mathematics, Ag. Spyridonos & Palikaridi Street, 12210 Egaleo, Athens, GreeceThis paper introduces, investigates, and discusses the -order generalized lognormal distribution (-GLD). Under certain values of the extra shape parameter , the usual lognormal, log-Laplace, and log-uniform distribution, are obtained, as well as the degenerate Dirac distribution. The shape of all the members of the -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 -GLD are also studied.http://dx.doi.org/10.1155/2013/432642 |
| spellingShingle | Thomas L. Toulias Christos P. Kitsos On the Generalized Lognormal Distribution Journal of Probability and Statistics |
| title | On the Generalized Lognormal Distribution |
| title_full | On the Generalized Lognormal Distribution |
| title_fullStr | On the Generalized Lognormal Distribution |
| title_full_unstemmed | On the Generalized Lognormal Distribution |
| title_short | On the Generalized Lognormal Distribution |
| title_sort | on the generalized lognormal distribution |
| url | http://dx.doi.org/10.1155/2013/432642 |
| work_keys_str_mv | AT thomasltoulias onthegeneralizedlognormaldistribution AT christospkitsos onthegeneralizedlognormaldistribution |