Monitoring Aggregated Poisson Data for Processes with Time-Varying Sample Sizes

This article deals with the effect of data aggregation, when Poisson processes with varying sample sizes, are monitored. These aggregation procedures are necessary or convenient in many applications, and can simplify monitoring processes. In health surveillance applications it is a common practice t...

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Autores:
Morales, Victor Hugo
Vargas, José Alberto
Tipo de recurso:
Article of journal
Fecha de publicación:
2017
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/66498
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/66498
http://bdigital.unal.edu.co/67526/
Palabra clave:
51 Matemáticas / Mathematics
31 Colecciones de estadística general / Statistics
Data aggregation
EWMAG and EWMAe charts
Health surveillance
Levels of aggregation
Time-varying sample sizes
agregación de datos
cartas EWMAG y EWMAe
vigilancia de la salud
niveles de agregación
tamaños de muestras variables
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
Description
Summary:This article deals with the effect of data aggregation, when Poisson processes with varying sample sizes, are monitored. These aggregation procedures are necessary or convenient in many applications, and can simplify monitoring processes. In health surveillance applications it is a common practice to aggregate the observations during a certain time period and monitor the processes at the end of it. Also, in this type of applications it is very frequent that the sample size vary over time, which makes that instead of monitor the mean of the processes, as would be in the case of Poisson observations with constant sample size, the occurrence rate of an adverse event is monitored.Two control charts for monitoring the count Poisson data with time-varying sample sizes are proposed by Shen et al. (2013) and Dong et al. (2008). We use the average run length (ARL) to compare the performance of these control charts when different levels of aggregation, two scenarios of generating of sample size and different out-of-control states are considered. Simulation studies show the effect of data aggregation in some situations, as well as those in which their use may be appropriate without significantly compromising the prompt detection of out-of-control signals. We also show the effect of data aggregation with an example of application in health surveillance.