Local Signal Detection for Categorical Time Series
David S. Stoffer ()
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David S. Stoffer: University of Pittsburgh
Chapter Chapter 23 in Research Papers in Statistical Inference for Time Series and Related Models, 2023, pp 519-538 from Springer
Abstract:
Abstract Frequency domain signal detection for qualitative-valued time series was developed under the assumption of homogeneity using the concept of the spectral envelope. The technique was developed in relation to the optimal scaling of qualitative data. After reviewing some established results, we present a method for fitting a local spectral envelope to heterogeneous sequences based on a minimum description length criterion for choosing the best fitting model based on parsimony. In particular, we focus on the detection of breakpoints in long sequences. Because of the enormous size of the search space, optimization is accomplished using a genetic algorithm to effectively tackle the problem.
Keywords: Breakpoint detection; Genetic algorithm; Minimum description length; Nonhomogeneous processes; Qualitative time series; Scaling categorical data; Spectral envelope (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-99-0803-5_23
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DOI: 10.1007/978-981-99-0803-5_23
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