Universal Codes as a Basis for Time Series Testing

Details Universal Codes as a Basis for Time Series Testing Universal Codes as a Basis for Time Series Testing

2006-02-25

arxiv.org/abs/cs/0602084v1

Computer Science

Information Theory

accepted for "Statistical Methodology" (Elsevier)

Scientific paper

We suggest a new approach to hypothesis testing for ergodic and stationary processes. In contrast to standard methods, the suggested approach gives a possibility to make tests, based on any lossless data compression method even if the distribution law of the codeword lengths is not known. We apply this approach to the following four problems: goodness-of-fit testing (or identity testing), testing for independence, testing of serial independence and homogeneity testing and suggest nonparametric statistical tests for these problems. It is important to note that practically used so-called archivers can be used for suggested testing.

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