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

共 50 条

[31] A marked point process model for intraday financial returns: modeling extreme risk
Rodrigo Herrera
Adam Clements
Empirical Economics, 2020, 58 : 1575 - 1601
[32] A marked point process model for intraday financial returns: modeling extreme risk
Herrera, Rodrigo
Clements, Adam
EMPIRICAL ECONOMICS, 2020, 58 (04) : 1575 - 1601
[33] STATIONARY MARKED POINT PROCESS - APPLICATION TO SELECTIVE INTERACTION OF 2 STATIONARY MARKED POINT PROCESSES
HILICO, C
ANNALES DE L INSTITUT HENRI POINCARE SECTION B-CALCUL DES PROBABILITES ET STATISTIQUE, 1973, 9 (02): : 177 - 192
[34] MARKED POINT PROCESS - USING CORRELATION-FUNCTIONS TO EXPLORE A SPATIAL DATA SET
GOULARD, M
PAGES, L
CABANETTES, A
BIOMETRICAL JOURNAL, 1995, 37 (07) : 837 - 853
[35] Asymptotic Expansion for Functionals of a Marked Point Process
Sakamoto, Yuji
Yoshida, Nakahiro
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2010, 39 (8-9) : 1449 - 1465
[36] A Marked Point Process for Modeling Lidar Waveforms
Mallet, Clement
Lafarge, Florent
Roux, Michel
Soergel, Uwe
Bretar, Frederic
Heipke, Christian
IEEE TRANSACTIONS ON IMAGE PROCESSING, 2010, 19 (12) : 3204 - 3221
[37] FACADE INTERPRETATION USING A MARKED POINT PROCESS
Wenzel, Susanne
Foerstner, Wolfgang
XXIII ISPRS CONGRESS, COMMISSION III, 2016, 3 (03): : 363 - 370
[38] Option pricing with a general marked point process
Prigent, JL
MATHEMATICS OF OPERATIONS RESEARCH, 2001, 26 (01) : 50 - 66
[39] A BAYESIAN MARKED POINT PROCESS FOR OBJECT DETECTION. APPLICATION TO MUSE HYPERSPECTRAL DATA
Chatelain, F.
Costard, A.
Michel, O. J. J.
2011 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING, 2011, : 3628 - 3631
[40] A copula model for marked point processes
Diao, Liqun
Cook, Richard J.
Lee, Ker-Ai
LIFETIME DATA ANALYSIS, 2013, 19 (04) : 463 - 489

← 1 2 3 4 5 →