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Statistical inference for DNA sequences of promoters: a non-stationary qualitative model. (English) Zbl 1369.62296

Summary: Gene promoters have variable repartition of AGCT nucleotides according to some probabilistic behaviours essentially depending on their position in a string. The paper aims to provide a model for this configuration. With this model we derive non-uniform confidence bounds for those probability distributions in the strings. A uniform bound deriving from previous works in [W. B. Wu and Z. Zhao, “Inference of trends in time series”, J. R. Stat. Soc. B. 69, No. 3, 391–410 (2007; doi:10.1111/j.1467-9868.2007.00594.x)] is more demanding for the model. A data-based study allows to clarify our suggestions and open the way for applications in molecular biology.

MSC:

62P10 Applications of statistics to biology and medical sciences; meta analysis
62M10 Time series, auto-correlation, regression, etc. in statistics (GARCH)
62G10 Nonparametric hypothesis testing
62G20 Asymptotic properties of nonparametric inference
92D20 Protein sequences, DNA sequences
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