total_variation_depth: Total Variation Depth and Modified Shape Similarity Index
Description
This function computes the total variation depth (tvd) and the modified shape similarity index (mss)
proposed in Huang and Sun (2019) tools:::Rd_expr_doi("10.1080/00401706.2019.1574241").
Usage
total_variation_depth(dts)
Value
Returns a list containing the following
tvd
the total variation depths of the observations of dts
mss
the modified shape similarity index of the observations of dts
Arguments
dts
A matrix or dataframe of size \(n\) observations/curves by \(p\) domain/evaluation
points.
Author
Oluwasegun Ojo
Details
This function computes the total variation depth (TVD) and modified shape
similarity (MSS) index of a univariate functional data. The definition of the
estimates of TVD and MSS can be found in Huang and Sun (2019)
tools:::Rd_expr_doi("10.1080/00401706.2019.1574241").
References
Huang, H., & Sun, Y. (2019). A decomposition of total variation depth for
understanding functional outliers. Technometrics, 61(4), 445-458.