{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,5]],"date-time":"2025-11-05T13:45:59Z","timestamp":1762350359345,"version":"build-2065373602"},"reference-count":33,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2025,11,5]],"date-time":"2025-11-05T00:00:00Z","timestamp":1762300800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Imam Mohammad ibn Saud Islamic University","award":["IMSIU-DDRSP2504"],"award-info":[{"award-number":["IMSIU-DDRSP2504"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>The growing complexity of the contemporary financial systems requires the emergence of sophisticated computational and statistical methods that are capable of managing uncertainty, lack of normality and structural variability of multivariate data. The TS charts defined by Hotelling are widely applicable but have been observed to be susceptible to asymmetrical distributions and outliers and are therefore inapplicable in a dynamic real-world example, such as cryptocurrency markets. We present a computationally efficient ambiguity-aware framework in this work, which generalizes the robust covariance estimation methods, which are MVE and MCD, into a neutrosophic logic-based framework. This adaptation also allows the proposed charts to model and react to the intrinsic data ambiguity and indeterminacy with improved robustness and additional multivariate process monitoring. The methodology is validated by a combination of simulation experiments and empirical research on high-frequency financial data of the Binance Exchange, with the focus on the BTCUSDT and ETHUSDT trading pairs. The evaluation of the performance is performed based on total and generalized variance measures that give a holistic picture of the sensitivity and adaptability of the method to noise in data and complexities arising in the presence of noise and complexity of data. The results demonstrate that the proposed approach is considerably superior to conventional TS charts and their robust variants, particularly in terms of detecting a small shift and trends of multivariate financial procedures. Thus, it is a contribution to the growing body of knowledge about applying computational statistics and data science to a scalable, uncertainty-sensitive system of high-dimensional process monitoring in volatile financial settings.<\/jats:p>","DOI":"10.3390\/sym17111875","type":"journal-article","created":{"date-parts":[[2025,11,5]],"date-time":"2025-11-05T13:19:29Z","timestamp":1762348769000},"page":"1875","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Ambiguity-Informed Modifications to Multivariate Process Analysis Using Binance Market Data"],"prefix":"10.3390","volume":"17","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7676-1020","authenticated-orcid":false,"given":"Atef F.","family":"Hashem","sequence":"first","affiliation":[{"name":"Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0009-0005-0365-5066","authenticated-orcid":false,"given":"Abdulrahman Obaid","family":"Alshammari","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Science, Jouf University, Sakaka 72388, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1124-7485","authenticated-orcid":false,"given":"Ishfaq","family":"Ahmad","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Nasir","family":"Ali","sequence":"additional","affiliation":[{"name":"Department of Statistics, PMAS-Arid Agriculture University, Rawalpindi 46300, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2025,11,5]]},"reference":[{"key":"ref_1","unstructured":"Montgomery, D.C. (2007). Introduction to Statistical Quality Control, John Wiley and Sons."},{"key":"ref_2","first-page":"29","article-title":"The usage of time series control charts for financial process analysis","volume":"4","author":"Kovarik","year":"2012","journal-title":"J. Compet."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"138","DOI":"10.3846\/16111699.2012.732106","article-title":"Usage of control charts for time series analysis in financial management","volume":"16","author":"Kovarik","year":"2015","journal-title":"J. Bus. Econ. Manag."},{"key":"ref_4","first-page":"22","article-title":"Statistical control charts: Performances of short term stock trading in croatia","volume":"6","author":"Dumicic","year":"2015","journal-title":"Bus. Syst. Res. Int. J. Soc. Adv. Innov. Res. Econ."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"1441","DOI":"10.1002\/qre.2962","article-title":"Control charts in financial applications: An overview","volume":"38","author":"Bisiotis","year":"2022","journal-title":"Qual. Reliab. Eng. Int."},{"key":"ref_6","doi-asserted-by":"crossref","unstructured":"Yeganeh, A., and Shongwe, S.C. (2023). A novel application of statistical process control charts in financial market surveillance with the idea of profile monitoring. PLoS ONE, 18.","DOI":"10.1371\/journal.pone.0288627"},{"key":"ref_7","doi-asserted-by":"crossref","unstructured":"Kim, C.K., Yoon, M.H., and Lee, S. (2024). Robust control chart for nonlinear conditionally heteroscedastic time series based on Huber support vector regression. PLoS ONE, 19.","DOI":"10.1371\/journal.pone.0299120"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"130","DOI":"10.22161\/ijaers.4.11.20","article-title":"Autoregressive integrated moving average (ARIMA) model for forecasting cryptocurrency exchange rate in high volatility environment: A new insight of bitcoin transaction","volume":"4","author":"Rosbi","year":"2017","journal-title":"Int. J. Adv. Eng. Res. Sci."},{"key":"ref_9","unstructured":"Hotelling, H. (1947). Multivariate quality control-illustrated by the air testing of sample bombsights. Techniques of Statistical Analysis, McGraw Hill."},{"key":"ref_10","doi-asserted-by":"crossref","unstructured":"Farcomeni, A., and Greco, L. (2016). Robust Methods for Data Reduction, CRC Press.","DOI":"10.1201\/b18358"},{"key":"ref_11","unstructured":"Rousseeuw, P.J., and Leroy, A.M. (2003). Robust Regression and Outlier Detection, John Wiley and Sons."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"1476","DOI":"10.1080\/03610918.2021.1884719","article-title":"Estimation of the bandwidth parameter in Nadaraya-Watson kernel non-parametric regression based on universal threshold level","volume":"52","author":"Ali","year":"2023","journal-title":"Commun. -Stat.-Simul. Comput."},{"key":"ref_13","doi-asserted-by":"crossref","unstructured":"Mashuri, M. (2020). A fuzzy bivariate poisson control chart. Symmetry, 12.","DOI":"10.3390\/sym12040573"},{"key":"ref_14","first-page":"6465","article-title":"Intuitionistic fuzzy c-control charts using defuzzification and likelihood methods","volume":"39","author":"Anagun","year":"2020","journal-title":"J. Intell. Fuzzy Syst."},{"key":"ref_15","unstructured":"Smarandache, F. (2014). Introduction to Neutrosophic Statistics, Romania-Educational Publisher."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"232","DOI":"10.1108\/TQM-10-2017-0118","article-title":"Fuzzy U control chart based on fuzzy rules and evaluating its performance using fuzzy OC curve","volume":"30","author":"Fadaei","year":"2018","journal-title":"TQM J."},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Aslam, M., Al-Marshadi, A.H., and Khan, N. (2019). A new X-bar control chart for using neutrosophic exponentially weighted moving average. Mathematics, 7.","DOI":"10.3390\/math7100957"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"96006","DOI":"10.1109\/ACCESS.2020.2995998","article-title":"A new dispersion control chart for handling the neutrosophic data","volume":"8","author":"Khan","year":"2020","journal-title":"IEEE Access"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"1406028","DOI":"10.1155\/2020\/1406028","article-title":"Multivariate analysis under indeterminacy: An application to chemical content data","volume":"2020","author":"Aslam","year":"2020","journal-title":"J. Anal. Methods Chem."},{"key":"ref_20","first-page":"85","article-title":"Multivariate control chart based on neutrosophic hotelling T2 statistics and its application","volume":"6","author":"Wibawati","year":"2022","journal-title":"JTAM (J. Teor. Dan Apl. Mat.)"},{"key":"ref_21","first-page":"920","article-title":"Proposed hybrid method for wavelet shrinkage with robust multiple linear regression model: With simulation study","volume":"7","author":"Ali","year":"2022","journal-title":"Qalaai Zanist J."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"125","DOI":"10.1007\/s001840200192","article-title":"A robust Hotelling test","volume":"55","author":"Willems","year":"2002","journal-title":"Metrika"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"155","DOI":"10.15675\/gepros.v34i2.1015","article-title":"Application of hotelling\u2019s T2 control chart for a machining process of the inside diameter of a steel cylinder","volume":"15","author":"Henning","year":"2014","journal-title":"Rev. Gest\u00e3o da Produ\u00e7\u00e3o Opera\u00e7\u00f5es e Sist."},{"key":"ref_24","first-page":"140","article-title":"Construction Robust-Chart and Compare it with Hotelling\u2019s T2-Chart","volume":"28","author":"Sedeeq","year":"2024","journal-title":"Zanco J. Hum. Sci."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"88","DOI":"10.1080\/00224065.1992.12015232","article-title":"Multivariate control charts for individual observations","volume":"24","author":"Tracy","year":"1992","journal-title":"J. Qual. Technol."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"517","DOI":"10.1002\/qre.829","article-title":"Multivariate statistical process control charts: An overview","volume":"23","author":"Bersimis","year":"2007","journal-title":"Qual. Reliab. Eng. Int."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"1369","DOI":"10.1002\/qre.3472","article-title":"Robust multivariate quality control charts for enhanced variability monitoring","volume":"40","author":"Ali","year":"2024","journal-title":"Qual. Reliab. Eng. Int."},{"key":"ref_28","first-page":"1","article-title":"Dynamical analysis of a system of fuzzy difference equations with power terms","volume":"13","author":"Balegh","year":"2025","journal-title":"Int. J. Dyn. Control"},{"key":"ref_29","doi-asserted-by":"crossref","unstructured":"Arslan, M., Anwar, S., Gunaime, N.M., Shahab, S., Lone, S.A., and Rasheed, Z. (2023). An improved charting scheme to monitor the process mean using two supplementary variables. Symmetry, 15.","DOI":"10.3390\/sym15020482"},{"key":"ref_30","doi-asserted-by":"crossref","unstructured":"Alomair, A.M., and Shahzad, U. (2023). Neutrosophic mean estimation of sensitive and non-sensitive variables with robust hartley\u2013ross-type estimators. Axioms, 12.","DOI":"10.3390\/axioms12060578"},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"3308","DOI":"10.1002\/qre.70025","article-title":"A Robust L-Comoments Covariance Matrix-Based Hotelling\u2019s T2 Control Chart for Monitoring High-Dimensional Non-Normal Multivariate Data in the Presence of Outliers","volume":"41","author":"Arslan","year":"2025","journal-title":"Qual. Reliab. Eng. Int."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"18528","DOI":"10.3934\/math.2024902","article-title":"On an asymmetric multivariate stochastic difference volatility: Structure and estimation","volume":"9","author":"Alzeley","year":"2024","journal-title":"Aims Math."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"11805","DOI":"10.3934\/math.2024578","article-title":"Probabilistic properties and estimation methods for periodic threshold autoregressive stochastic volatility","volume":"9","author":"Ghezal","year":"2024","journal-title":"Aims Math."}],"container-title":["Symmetry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-8994\/17\/11\/1875\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,11,5]],"date-time":"2025-11-05T13:41:07Z","timestamp":1762350067000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-8994\/17\/11\/1875"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,11,5]]},"references-count":33,"journal-issue":{"issue":"11","published-online":{"date-parts":[[2025,11]]}},"alternative-id":["sym17111875"],"URL":"https:\/\/doi.org\/10.3390\/sym17111875","relation":{},"ISSN":["2073-8994"],"issn-type":[{"value":"2073-8994","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,11,5]]}}}