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JOURNALS // Preprints of the Keldysh Institute of Applied Mathematics // Archive

Keldysh Institute preprints, 2025 022, 23 pp. (Mi ipmp3319)

Modeling of disorders predictors for non-stationary time-series

A. A. Kolotova, Yu. N. Orlov


Abstract: In this work a methodology for modeling an ensemble of time series trajectories with random switches between a given set of states is formulated. An intermediate basis is introduced to predict the direction of the transition. A model of the transition predictor is proposed as the minimum distance from the current sample distribution to the intermediate baseline standards. The structure of a software package is proposed that allows for a comprehensive analysis of non-stationary time series, including finding a system of reference patterns depending on the length of the scanning sample.

Keywords: non-stationary time-series, sample distribution function, disorder probability, state recognition, trajectories generation.



© Steklov Math. Inst. of RAS, 2025