فهرست نشریات علمی دسترسی آزاد ایران

Monitoring the time between events without accounting for their magnitudes is an impractical approach. This paper discusses the monitoring of the time between events (TBEs) and their multivariate magnitude (M). The paper explores control charts for the magnitude of events in a multivariate setting, focusing on situations where the magnitude of events has two dimensions. Two statistics are presented for the simultaneous monitoring of the time between events and the multivariate magnitude. The first statistic is a standardized EWMAZ, based on the Shewhart-EWMA approach. The second statistic is a set of three standardized single EWMAs, each used for monitoring TBEs and the two dimensions of magnitude (TSEWMA). The performance of these statistics is evaluated by considering different shifts in the mean of TBE and magnitude under three distinct shift parameter values. The results confirm their effectiveness across various conditions.