Changepoint Detection on Daily Home Activity Pattern : A Sliced Poisson Process Method

Martinez Hernandez, Israel and Killick, Rebecca (2024) Changepoint Detection on Daily Home Activity Pattern : A Sliced Poisson Process Method. Biometrics, 80 (4): ujae114. ISSN 0006-341X

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Abstract

The problem of health and care of people is being revolutionized. An important component of that revolution is disease prevention and health improvement from home. A natural approach to the health problem is monitoring changes in people's behavior or activities. These changes can be indicators of potential health problems. However, due to a person's daily pattern, changes will be observed throughout each day, with, eg, an increase of events around meal times and fewer events during the night. We do not wish to detect such within-day changes but rather changes in the daily behavior pattern from one day to the next. To this end, we assume the set of event times within a given day as a single observation. We model this observation as the realization of an inhomogeneous Poisson process where the rate function can vary with the time of day. Then, we propose to detect changes in the sequence of inhomogeneous Poisson processes. This approach is appropriate for many phenomena, particularly for home activity data. Our methodology is evaluated on simulated data. Overall, our approach uses local change information to detect changes across days. At the same time, it allows us to visualize and interpret the results, changes, and trends over time, allowing the detection of potential health decline.

Item Type:
Journal Article
Journal or Publication Title:
Biometrics
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/2600/2613
Subjects:
?? b-spline basispeltchangepoints detectionsegmentationsequence of inhomogeneous poisson processesstatistics and probabilitygeneral biochemistry,genetics and molecular biologygeneral immunology and microbiologygeneral agricultural and biological sciencesappl ??
ID Code:
225040
Deposited By:
Deposited On:
14 Oct 2024 13:40
Refereed?:
Yes
Published?:
Published
Last Modified:
06 Dec 2024 00:52