Grstats Forum

AUEB SEMINARS - 10/11/2016: Control Charts for Monitoring Correlated Zero-Inflated Counts

Πήγαινε κάτω

AUEB SEMINARS - 10/11/2016: Control Charts for Monitoring Correlated Zero-Inflated Counts

Δημοσίευση από grstats Την / Το Δευ 7 Νοε 2016 - 11:09


Athanassios Rakitzis
Lecturer, Department of Mathematics, University of Aegean

Control Charts for Monitoring Correlated Zero-Inflated Counts

THURSDAY 10/11/2016
13:00 (exact)

ROOM 607, 6th FLOOR,


The Zero-inflated Poisson distribution serves as an appropriate model when there is an excessive number of 0’s in the data than the corresponding proportion under the assumption of the standard Poisson model. This phenomenon frequently occurs in practice, e.g., in count data from high quality processes, where the number of non-conforming items is very low. Also, the usual assumption is that the number of non-conforming items are independent and identically distributed random variables. However, a more realistic model is to assume that an autocorrelation structure exists, which has to be taken into account before setting up control charts for process monitoring.
In this talk, we present one-sided Shewhart and CUSUM control charts for monitoring correlated zero-inflated Poisson counts, aiming at the detection of increases in process average. The zero-inflated Poisson INAR(1) and INARCH(1) models are considered as the appropriate ones that describe the process. The performance of the Shewhart and CUSUM charts is evaluated under various in-control and out-of- control scenarios, in terms of the average run length ARL. Also, the effect of zero-inflation is investigated via numerical comparisons with the corresponding Shewhart and CUSUM charts that are available in the literature for the standard Poisson INAR(1) and INARCH(1) models.
Finally, a practical application from the area of health-care surveillance is given.

Posts : 747
Join date : 21/10/2009

Επιστροφή στην κορυφή Πήγαινε κάτω

Επιστροφή στην κορυφή

Δικαιώματα σας στην κατηγορία αυτή
Δεν μπορείτε να απαντήσετε στα Θέματα αυτής της Δ.Συζήτησης