TiK‐means: Transformation‐infused K ‐means clustering for skewed groups

dc.contributor.author Berry, Nicholas
dc.contributor.author Maitra, Ranjan
dc.contributor.department Statistics
dc.date 2020-06-22T22:24:35.000
dc.date.accessioned 2020-07-02T06:56:58Z
dc.date.available 2020-07-02T06:56:58Z
dc.date.copyright Tue Jan 01 00:00:00 UTC 2019
dc.date.issued 2019-06-01
dc.description.abstract <p>The <em>K </em>‐means algorithm is extended to allow for partitioning of skewed groups. Our algorithm is called TiK‐means and contributes a <em>K </em>‐means‐type algorithm that assigns observations to groups while estimating their skewness‐transformation parameters. The resulting groups and transformation reveal general‐structured clusters that can be explained by inverting the estimated transformation. Further, a modification of the jump statistic chooses the number of groups. Our algorithm is evaluated on simulated and real‐life data sets and then applied to a long‐standing astronomical dispute regarding the distinct kinds of gamma ray bursts.</p>
dc.description.comments <p>This is the peer-reviewed version of the following article: Berry, Nicholas S., and Ranjan Maitra. "TiK‐means: Transformation‐infused K‐means clustering for skewed groups." <em>Statistical Analysis and Data Mining: The ASA Data Science Journal</em> 12, no. 3 (2019): 223-233, which has been published in final form at DOI: <a href="https://doi.org/10.1002/sam.11416" target="_blank">10.1002/sam.11416</a>. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving. Posted with permission.</p>
dc.format.mimetype application/pdf
dc.identifier archive/lib.dr.iastate.edu/stat_las_pubs/175/
dc.identifier.articleid 1173
dc.identifier.contextkey 14425368
dc.identifier.s3bucket isulib-bepress-aws-west
dc.identifier.submissionpath stat_las_pubs/175
dc.identifier.uri https://dr.lib.iastate.edu/handle/20.500.12876/90482
dc.language.iso en
dc.source.bitstream archive/lib.dr.iastate.edu/stat_las_pubs/175/2019_MaitraRanjan_TIKMeans.pdf|||Sun Jun 30 10:02:42 UTC 2019
dc.source.bitstream archive/lib.dr.iastate.edu/stat_las_pubs/175/2019_MaitraRanjan_TiKMeansTransformation.pdf|||Fri Jan 14 21:24:34 UTC 2022
dc.source.uri 10.1002/sam.11416
dc.subject.disciplines Categorical Data Analysis
dc.subject.disciplines Statistics and Probability
dc.subject.keywords BATSE
dc.subject.keywords gamma ray bursts
dc.subject.keywords Inverse hyperbolic sine transformation
dc.subject.keywords K-means
dc.subject.keywords jump selection plot
dc.title TiK‐means: Transformation‐infused K ‐means clustering for skewed groups
dc.type article
dc.type.genre article
dspace.entity.type Publication
relation.isOrgUnitOfPublication 264904d9-9e66-4169-8e11-034e537ddbca
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