.png){kind=icon}
Return
Multifractality in space-time statistical models
.png){kind=icon}
OA
AI
DOI：10.1007/s00477-007-0155-9.png)
.png){kind=icon}
Original request for help.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
This paper introduces two families of spacetime random models with multifractal spatial characteristics, respectively generated in continuous and discrete time, and both defined on multifractal spatial domains. The definition of the first class is given in terms of a Feller semigroup generated by a pseudodifferential operator of variable order. In the second case, the spatial process at time t + 1 is obtained by applying a variable order blurring operator to the spatial process at time t and adding the innovation given by a spatiotemporal process uncorrelated in time. Spatial multifractal properties of the two classes of space-time processes introduced are analyzed. The implementation of space-time filtering and prediction techniques is also discussed.
Keywords:
local holder exponent
multifractal spectrum
semigroup theory
spatiotemporal filtering and prediction
Journal
IF:
3.6
Papers:
3.5K
Citations:
6.9K
Organization
Cited Papers
ShareSaveSpatio-temporal variability of solar energy across a region: A statistical modelling approach.png)
SOLAR ENERGY
SOLAR ENERGYIF6.6
PREAI
ShareSave
ShareSaveShareSaveShareSave
View more