Geodesic
Tempered processes in modelling of single-particle tracking experiments
Mathematica Applicanda, Tome 52 (2024) no. 1, pp. 27-84.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

In this paper, we check the usefulness of the autoregressive tempered fractionally integrated moving average (ARTFIMA) processes to modelling of single-particle tracking (SPT) experiments. We illustrate the main properties of the discrete-time tempered model and compare them to the non-tempered ARFIMA. The main part of the paper is devoted to an extensive statistical analysis of the ARTFIMA and ARFIMA processes fitted to single-particle tracking data from different biological experiments. The results show that there are experiments where tempering provides a significant improvement over the classical approach.
DOI : 10.14708/ma.v52i1.7247
Classification : 60K50, 62M10, 92C05
Mots-clés : ARTFIMA process, tempered fractional Brownian motion, single-particle tracking 
@article{10_14708_ma_v52i1_7247,
     author = {Krzysztof Burnecki and Aleksandra Rogalska},
     title = {Tempered processes in modelling of single-particle tracking experiments},
     journal = {Mathematica Applicanda},
     pages = { 27--84},
     publisher = {mathdoc},
     volume = {52},
     number = {1},
     year = {2024},
     doi = {10.14708/ma.v52i1.7247},
     language = {pl},
     url = {http://geodesic.mathdoc.fr/articles/10.14708/ma.v52i1.7247/}
}
TY  - JOUR
AU  - Krzysztof Burnecki
AU  - Aleksandra Rogalska
TI  - Tempered processes in modelling of single-particle tracking experiments
JO  - Mathematica Applicanda
PY  - 2024
SP  -  27
EP  - 84
VL  - 52
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.14708/ma.v52i1.7247/
DO  - 10.14708/ma.v52i1.7247
LA  - pl
ID  - 10_14708_ma_v52i1_7247
ER  - 
%0 Journal Article
%A Krzysztof Burnecki
%A Aleksandra Rogalska
%T Tempered processes in modelling of single-particle tracking experiments
%J Mathematica Applicanda
%D 2024
%P  27-84
%V 52
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.14708/ma.v52i1.7247/
%R 10.14708/ma.v52i1.7247
%G pl
%F 10_14708_ma_v52i1_7247
Krzysztof Burnecki; Aleksandra Rogalska. Tempered processes in modelling of single-particle tracking experiments. Mathematica Applicanda, Tome 52 (2024) no. 1, pp.  27-84. doi : 10.14708/ma.v52i1.7247. http://geodesic.mathdoc.fr/articles/10.14708/ma.v52i1.7247/

Cité par Sources :