Observing Cryptocurrencies through Robust Anomaly Scores

The cryptocurrency market is understood as being more volatile than traditional asset classes. Therefore, modeling the volatility of cryptocurrencies is important for making investment decisions. However, large swings in the market might be normal for cryptocurrencies due to their inherent volatilit...

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Main Authors: Geumil Bae, Jang Ho Kim
Format: Article
Language:English
Published: MDPI AG 2022-11-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/24/11/1643
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author Geumil Bae
Jang Ho Kim
author_facet Geumil Bae
Jang Ho Kim
author_sort Geumil Bae
collection DOAJ
description The cryptocurrency market is understood as being more volatile than traditional asset classes. Therefore, modeling the volatility of cryptocurrencies is important for making investment decisions. However, large swings in the market might be normal for cryptocurrencies due to their inherent volatility. Deviations, along with correlations of asset returns, must be considered for measuring the degree of market anomaly. This paper demonstrates the use of robust Mahalanobis distances based on shrinkage estimators and minimum covariance determinant for observing anomaly scores of cryptocurrencies. Our analysis shows that anomaly scores are a critical complement to volatility measures for understanding the cryptocurrency market. The use of anomaly scores is further demonstrated through portfolio optimization and scenario analysis.
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spelling doaj.art-c15859af16884ffbaaf92223ff45414f2023-11-24T08:18:30ZengMDPI AGEntropy1099-43002022-11-012411164310.3390/e24111643Observing Cryptocurrencies through Robust Anomaly ScoresGeumil Bae0Jang Ho Kim1Industrial and Systems Engineering, Korea Advanced Institute of Science and Technology (KAIST), Daejeon 34141, KoreaDepartment of Industrial and Management Systems Engineering, Kyung Hee University, Yongin-si 17104, KoreaThe cryptocurrency market is understood as being more volatile than traditional asset classes. Therefore, modeling the volatility of cryptocurrencies is important for making investment decisions. However, large swings in the market might be normal for cryptocurrencies due to their inherent volatility. Deviations, along with correlations of asset returns, must be considered for measuring the degree of market anomaly. This paper demonstrates the use of robust Mahalanobis distances based on shrinkage estimators and minimum covariance determinant for observing anomaly scores of cryptocurrencies. Our analysis shows that anomaly scores are a critical complement to volatility measures for understanding the cryptocurrency market. The use of anomaly scores is further demonstrated through portfolio optimization and scenario analysis.https://www.mdpi.com/1099-4300/24/11/1643cryptocurrencyanomaly scoreMahalanobis distanceminimum covariance determinantshrinkage estimators
spellingShingle Geumil Bae
Jang Ho Kim
Observing Cryptocurrencies through Robust Anomaly Scores
Entropy
cryptocurrency
anomaly score
Mahalanobis distance
minimum covariance determinant
shrinkage estimators
title Observing Cryptocurrencies through Robust Anomaly Scores
title_full Observing Cryptocurrencies through Robust Anomaly Scores
title_fullStr Observing Cryptocurrencies through Robust Anomaly Scores
title_full_unstemmed Observing Cryptocurrencies through Robust Anomaly Scores
title_short Observing Cryptocurrencies through Robust Anomaly Scores
title_sort observing cryptocurrencies through robust anomaly scores
topic cryptocurrency
anomaly score
Mahalanobis distance
minimum covariance determinant
shrinkage estimators
url https://www.mdpi.com/1099-4300/24/11/1643
work_keys_str_mv AT geumilbae observingcryptocurrenciesthroughrobustanomalyscores
AT janghokim observingcryptocurrenciesthroughrobustanomalyscores