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Law of Gravitation and Measuring Gravitational Acceleration

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Universal Cointegration and Its Applications.

Chengyi Tu¹, Ying Fan², Jianing Fan³

¹School of Ecology and Environmental Science, Yunnan University, Kunming, China; Department of Environmental Science, Policy, and Management, University of California, Berkeley, Berkeley, CA, USA.

|September 16, 2019

Summary

This summary is machine-generated.

We introduce a novel method to identify universal cointegration in time series, extending beyond classic methods. This approach analyzes non-stationary time series, revealing long-term relationships previously undetectable.

Keywords:

Computational Mathematics Global Change Interdisciplinary Physics

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Area of Science:

Time Series Analysis
Econometrics
Complex Systems

Background:

Cointegration is crucial for understanding long-term relationships in various fields like economics and ecology.
Traditional cointegration methods are limited to time series with an integration order of 1.

Purpose of the Study:

To develop a new method for identifying universal cointegration.
To extend cointegration analysis to time series with integration orders beyond 1.

Main Methods:

A novel approach using convergent cross-mapping to find vectors minimizing absolute correlation.
Exploration of universal cointegration and its extent.

Main Results:

The proposed method successfully identifies cointegration in time series with integration orders not equal to 1.
Validation through mathematical models and real-world datasets.

Conclusions:

The new method broadens the applicability of cointegration analysis.
Enables the discovery of hidden long-term relationships in diverse scientific domains.