The wrapped Rama distribution
Abstract A new one-parameter distribution is proposed for circular data based on wrapping. Most distributions constructed via wrapping do not yield elementary expressions for their mathematical properties. Yet the new distribution yields elementary expressions for all of its mathematical properties....
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Nature Portfolio
2024-12-01
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| Series: | Scientific Reports |
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| Online Access: | https://doi.org/10.1038/s41598-024-83436-x |
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| _version_ | 1841559530454908928 |
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| author | William Bell Saralees Nadarajah |
| author_facet | William Bell Saralees Nadarajah |
| author_sort | William Bell |
| collection | DOAJ |
| description | Abstract A new one-parameter distribution is proposed for circular data based on wrapping. Most distributions constructed via wrapping do not yield elementary expressions for their mathematical properties. Yet the new distribution yields elementary expressions for all of its mathematical properties. Better fits of the new distribution over the three-parameter distribution due to Jones and Pewsey10 and six other wrapped distributions including four that have two parameters each are shown for at least two data sets. Better fits were assessed in terms of probability plots, density plots, values of Akaike information criterion and values of Bayesian information criterion. |
| format | Article |
| id | doaj-art-1639dffc34e14adc980d92cffcfe22eb |
| institution | Kabale University |
| issn | 2045-2322 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj-art-1639dffc34e14adc980d92cffcfe22eb2025-01-05T12:24:48ZengNature PortfolioScientific Reports2045-23222024-12-0114111410.1038/s41598-024-83436-xThe wrapped Rama distributionWilliam Bell0Saralees Nadarajah1Department of Mathematics, University of ManchesterDepartment of Mathematics, University of ManchesterAbstract A new one-parameter distribution is proposed for circular data based on wrapping. Most distributions constructed via wrapping do not yield elementary expressions for their mathematical properties. Yet the new distribution yields elementary expressions for all of its mathematical properties. Better fits of the new distribution over the three-parameter distribution due to Jones and Pewsey10 and six other wrapped distributions including four that have two parameters each are shown for at least two data sets. Better fits were assessed in terms of probability plots, density plots, values of Akaike information criterion and values of Bayesian information criterion.https://doi.org/10.1038/s41598-024-83436-xCircular dataMaximum likelihoodTrigonometric moments |
| spellingShingle | William Bell Saralees Nadarajah The wrapped Rama distribution Scientific Reports Circular data Maximum likelihood Trigonometric moments |
| title | The wrapped Rama distribution |
| title_full | The wrapped Rama distribution |
| title_fullStr | The wrapped Rama distribution |
| title_full_unstemmed | The wrapped Rama distribution |
| title_short | The wrapped Rama distribution |
| title_sort | wrapped rama distribution |
| topic | Circular data Maximum likelihood Trigonometric moments |
| url | https://doi.org/10.1038/s41598-024-83436-x |
| work_keys_str_mv | AT williambell thewrappedramadistribution AT saraleesnadarajah thewrappedramadistribution AT williambell wrappedramadistribution AT saraleesnadarajah wrappedramadistribution |