Journal or Book Title
Statistical Analysis and Data Mining
The K ‐means algorithm is extended to allow for partitioning of skewed groups. Our algorithm is called TiK‐means and contributes a K ‐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.
Wiley Periodicals, Inc.
Berry, Nicholas S. and Maitra, Ranjan, "TiK‐means: Transformation‐infused K ‐means clustering for skewed groups" (2019). Statistics Publications. 175.