Please use this identifier to cite or link to this item: https://research.matf.bg.ac.rs/handle/123456789/1834
Title: On some change-point tests based on the Laplace transform
Authors: Lukić, Žikica 
Milošević, Bojana 
Affiliations: Probability and Mathematical Statistics 
Probability and Mathematical Statistics 
Issue Date: 2024
Rank: M34
Publisher: Beograd : Matematički fakultet
Related Publication(s): Statistical Modelling with Aplications StatMod2024 : Book of Abstracts
Conference: Statistical Modelling with Applications StatMod(2024 ; Belgrade)
Abstract: 
This talk comprises two parts. In the first part, we focus on the univariate case. Following the construction in [1], we present a novel class of tests for change-point detection based on the Laplace transform. These novel tests have favorable properties compared to the competitors in [1]. The asymptotic properties of the novel tests are discussed, and they are applied to two datasets from the fields of meteorology and macroeconomics. The second part of the study is dedicated to change-point inference for symmetric positive definite random matrices. In [3], the change-point inference for random matrices orthogonally invariant in distribution was outlined. We modify the test in [2] to test for a change-point in distribution. We present the finite sample properties of the novel test. The talk concludes with some possible directions for further research.
URI: https://research.matf.bg.ac.rs/handle/123456789/1834
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