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The wrapped Rama distribution.

作者信息

Bell William, Nadarajah Saralees

机构信息

Department of Mathematics, University of Manchester, Manchester, M13 9PL, UK.

出版信息

Sci Rep. 2024 Dec 30;14(1):31936. doi: 10.1038/s41598-024-83436-x.

DOI:10.1038/s41598-024-83436-x
PMID:39738751
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC11686034/
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 Pewsey 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.

摘要
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f22/11686034/f74069ce23a6/41598_2024_83436_Fig7_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f22/11686034/39c05b00750b/41598_2024_83436_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f22/11686034/1c2a1b4c2d2b/41598_2024_83436_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f22/11686034/87cd70d2c4d6/41598_2024_83436_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f22/11686034/167d53b77789/41598_2024_83436_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f22/11686034/1100b8d4eb65/41598_2024_83436_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f22/11686034/97ab85f46d36/41598_2024_83436_Fig6_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f22/11686034/f74069ce23a6/41598_2024_83436_Fig7_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f22/11686034/39c05b00750b/41598_2024_83436_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f22/11686034/1c2a1b4c2d2b/41598_2024_83436_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f22/11686034/87cd70d2c4d6/41598_2024_83436_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f22/11686034/167d53b77789/41598_2024_83436_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f22/11686034/1100b8d4eb65/41598_2024_83436_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f22/11686034/97ab85f46d36/41598_2024_83436_Fig6_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f22/11686034/f74069ce23a6/41598_2024_83436_Fig7_HTML.jpg

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本文引用的文献

1
Comments on: Recent advances in directional statistics.关于《方向统计学的最新进展》的评论
Test (Madr). 2021;30(1):59-63. doi: 10.1007/s11749-021-00760-4. Epub 2021 Mar 19.