A functional marked point process model for lupus data

作者：Fok Carlotta Ching Ting^*; Ramsay James O; Abrahamowicz Michal; Fortin Paul

来源：Canadian Journal of Statistics, 2012, 40(3): 517-529.

DOI：10.1002/cjs.11136

• Frequency function
• functional data analysis
• inhomogeneous Poisson process
• lupus flares
• marked point process
• mark variable
• point process
• SLEDAI score
• MSC 2010: Primary 60G55
• secondary 62P10

Modelling for marked point processes is an important problem, but has received remarkably little attention in the statistical literature. The authors developed a marked point process model that incorporates the use of functional data analysis in a joint estimation of the frequency function of the point process and the intensity of the mark, with application to data from 22 lupus patients consisting of times of flares in symptom severity combined with a quantitative assessment of the severity. The data indicate that a rapid decrease in drug dose is significantly associated with a decrease in flare frequency. Experiments with simulated data designed to model the actual data further support this conclusion.

• 出版日期2012-9