APPLICATION OF MATHEMATICAL STATISTICS IN THE TEXTILE INDUSTRY

Abstract

This article explores the application of mathematical statistics methods in the textile industry across all stages of the production cycle—from raw material analysis to quality control of finished products. It shows how statistical approaches contribute to the optimization of technological processes, failure prediction, and reduction of defects. Special attention is given to the integration of statistical methods into the digital environment, including data collection systems, machine learning, digital twins, and BI tools. Practical tasks and solutions are provided to illustrate the real use of statistics in manufacturing. The contribution of leading scientists to the development of statistics as an applied science is also highlighted. The work emphasizes the key role of mathematical statistics in increasing the efficiency, sustainability, and intelligence of modern textile enterprises.