A functional marked point process model for lupus data

被引：5

作者：

Fok, Carlotta Ching Ting ^{[1
,2
]}

Ramsay, James O. ^{[3
]}

Abrahamowicz, Michal ^{[4
]}

Fortin, Paul ^{[5
]}

机构：

[1] Univ Alaska Fairbanks, Dept Psychol, Fairbanks, AK 99775 USA

[2] Univ Alaska Fairbanks, Ctr Alaska Native Hlth Res, Inst Arctic Biol, Fairbanks, AK 99775 USA

[3] McGill Univ, Ottawa, ON K2B 6W9, Canada

[4] McGill Univ, Res Inst, Ctr Hlth, Montreal, PQ H3H 2R9, Canada

[5] Toronto Western Res Inst, Arthrit Soc, Toronto, ON, Canada

来源：

CANADIAN JOURNAL OF STATISTICS-REVUE CANADIENNE DE STATISTIQUE | 2012年 / 40卷 / 03期

关键词：

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;

D O I：

10.1002/cjs.11136

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

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. The Canadian Journal of Statistics 40: 517529; 2012 (c) 2012 Statistical Society of Canada

引用

页码：517 / 529

页数：13

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