Clustering the multiple functional time series. The function uses the functional panel data model to cluster different time series into subgroups
Usage
mftsc(X, alpha)
Value
iteration
the number of iterations until convergence
memebership
a list of all the membership matrices at each iteration
member.final
the final membership
Arguments
X
A list of sets of smoothed functional time series to be clustered, for each object, it is a p x q matrix, where p is the sample size and q is the number of grid points of the function
alpha
A value input for adjusted rand index to measure similarity of the memberships with last iteration, can be any value big than 0.9
Author
Chen Tang, Yanrong Yang and Han Lin Shang
Details
As an initial step, conventional k-means clustering is performed on the dynamic FPC scores, then an iterative membership updating process is applied by fitting the MFPCA model.