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Schwarz information criterion based tests for a change-point in regression models

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Abstract

Standard Schwarz information criterion for testing a change-point in regression models is considered and two new test procedures are evolved. The case of small sample size is investigated. Numerical approximations to the power against various alternatives are given and compared with powers of tests based on r-ahead recursive residuals and of the CUSUM of squares test. Application of these procedures to some real data is also provided.

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Authors and Affiliations

  1. AGH University of Science and Technology, Faculty of Applied Mathematics, al. Mickiewicza 30, 30-059, Cracow, Poland

    Konrad Nosek

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  1. Konrad Nosek
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Correspondence to Konrad Nosek.

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Nosek, K. Schwarz information criterion based tests for a change-point in regression models. Stat Papers 51, 915–929 (2010). https://doi.org/10.1007/s00362-008-0186-4

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  • DOI: https://doi.org/10.1007/s00362-008-0186-4

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