DeepAI AI Chat
Log In Sign Up

Investigating spatial scan statistics for multivariate functional data

03/26/2021
by   Camille Frévent, et al.
0

This paper introduces new scan statistics for multivariate functional data indexed in space. The new methods are derivated from a MANOVA test statistic for functional data, an adaptation of the Hotelling T2-test statistic, and a multivariate extension of the Wilcoxon rank-sum test statistic. In a simulation study, the latter two methods present very good performances and the adaptation of the functional MANOVA also shows good performances for a normal distribution. Our methods detect more accurate spatial clusters than an existing nonparametric functional scan statistic. Lastly we applied the methods on multivariate functional data to search for spatial clusters of abnormal daily concentrations of air pollutants in the north of France in May and June 2020.

READ FULL TEXT

page 19

page 21

page 22

11/06/2020

Detecting spatial clusters on functional data: a parametric scan statistic approach

This paper proposes a parametric scan statistic for detecting clusters o...
03/04/2019

A functional-model-adjusted spatial scan statistic

This paper introduces a new spatial scan statistic designed to adjust cl...
01/21/2018

A new nonparametric test for two sample multivariate location problem with application to astronomy

This paper provides a nonparametric test for the identity of two multiva...
05/09/2012

Spatial Multiresolution Cluster Detection Method

A novel multi-resolution cluster detection (MCD) method is proposed to i...
07/17/2021

Calibrating the scan statistic with size-dependent critical values: heuristics, methodology and computation

It is known that the scan statistic with variable window size favors the...
11/26/2018

Testing Multivariate Scatter Parameter in Elliptical Model based on Forward Search Method

In this article, we establish a test for multivariate scatter parameter ...
11/09/2018

Median Confidence Regions in a Nonparametric Model

The problem of constructing confidence regions for the median in the non...