Journal
JOURNAL OF TIME SERIES ANALYSIS
Volume 42, Issue 1, Pages 19-33Publisher
WILEY
DOI: 10.1111/jtsa.12553
Keywords
Model selection; regularized estimator; structure estimation; dimensionality reduction
Funding
- FAPESP's project 'Model selection in high dimensions: theoretical properties and applications' [FAPESP 2013/07699-0]
- Sao Paulo Research Foundation, Brazil [2019/17734-3]
- Universidad de Buenos Aires [20020170100330BA]
- ANPCYT, Argentina [PICT-201-0377 / PICT-2018-02842]
- CNPq [309964/2016-4]
Ask authors/readers for more resources
In this work, a model selection criterion is proposed to estimate the points of independence of a random vector, decomposing the vector distribution function into independent blocks. The method, based on a general estimator of the distribution function, is applicable for various scenarios, and an efficient algorithm is proposed to approximate the estimator with good performance on simulated data.
In this-30 work we propose a model selection criterion to estimate the points of independence of a random vector, producing a decomposition of the vector distribution function into independent blocks. The method, based on a general estimator of the distribution function, can be applied for discrete or continuous random vectors, and for i.i.d. data or dependent time series. We prove the consistency of the approach under general conditions on the estimator of the distribution function and we show that the consistency holds for i.i.d. data and discrete time series with mixing conditions. We also propose an efficient algorithm to approximate the estimator and show the performance of the method on simulated data. We apply the method in a real dataset to estimate the distribution of the flow over several locations on a river, observed at different time points.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available