On the ergodicity of economic processes represented by time series

The article presents a method for testing the weak stationarity of a random process by means of its time series, which comes down to calculating the mean and the autocorrelation function over segments of the original series. Novelty of the presented procedures consists in estimating the stationarity of these values. The well-known theoretical criterion of ergodicity of a random process is adapted for practical application. The presented methods have been tested on a model example of a weakly ergodic random process and on a time series of the stock quotes of «Inarktika» company.

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Publication Details

Journal
Vestnik of Samara University Economics and Management
Published
2024-12-24
DOI
https://doi.org/10.18287/2542-0461-2024-15-4-45-62
Primary Topic
Complex Systems and Time Series Analysis
Type
article
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article

On the ergodicity of economic processes represented by time series

Dmitry B. Zotev, Daria I. Chernyshova
Vestnik of Samara University Economics and Management
Complex Systems and Time Series Analysis
article

On the ergodicity of economic processes represented by time series

Dmitry B. Zotev, Daria I. Chernyshova
article en

Abstract

The article presents a method for testing the weak stationarity of a random process by means of its time series, which comes down to calculating the mean and the autocorrelation function over segments of the original series. Novelty of the presented procedures consists in estimating the stationarity of these values. The well-known theoretical criterion of ergodicity of a random process is adapted for practical application. The presented methods have been tested on a model example of a weakly ergodic random process and on a time series of the stock quotes of «Inarktika» company.

Vestnik of Samara University Economics and ManagementVol. 15(4)
Novosibirsk State University of Economics and Management (RU)
Openalex Percentile: Top 68%
Complex Systems and Time Series Analysis
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