New Non-Parametric Approach to Determine Proper Motion of Star Clusters
  The bulk motion of star clusters can be determined after careful membership
analysis using parametric or non-parametric approaches. This study aims to
implement non-parametric membership analysis based on Binned Kernel Density
Estimator which accounts measurements errors (simply called BKDE-e) and to
determine the average proper motion of each cluster. This method is applied to
178 selected star clusters with angular diameter less than 20 arc minutes.
Proper motion data from UCAC4 are used for membership determination.
Non-parametric analysis using BKDE-e successfully determined the average proper
motion of 129 clusters, with good accuracy. Compared to COCD and NCOVOCC, there
are 79 clusters with less than $3\sigma$ difference. Moreover, we are able to
analyse distribution of the member stars in vector point diagram which is not
always normal distribution.
