The RONO (Rank-Order-Normalization) Procedure for Power-Spectrum Analysis of Datasets with Non-Normal Distributions

التفاصيل البيبلوغرافية
العنوان: The RONO (Rank-Order-Normalization) Procedure for Power-Spectrum Analysis of Datasets with Non-Normal Distributions
المؤلفون: Felix Scholkmann, Peter A. Sturrock
المساهمون: University of Zurich, Scholkmann, Felix
المصدر: Algorithms, Vol 13, Iss 157, p 157 (2020)
سنة النشر: 2020
مصطلحات موضوعية: Normalization (statistics), 0209 industrial biotechnology, lcsh:T55.4-60.8, Gaussian, 610 Medicine & health, 02 engineering and technology, lcsh:QA75.5-76.95, Standard procedure, Theoretical Computer Science, Normal distribution, symbols.namesake, 020901 industrial engineering & automation, 0202 electrical engineering, electronic engineering, information engineering, lcsh:Industrial engineering. Management engineering, 2614 Theoretical Computer Science, 2612 Numerical Analysis, Mathematics, Numerical Analysis, Numerical analysis, Spectral density, Computational mathematics, 10027 Clinic for Neonatology, spectral analysis, Computational Mathematics, Computational Theory and Mathematics, symbols, 020201 artificial intelligence & image processing, Non normality, lcsh:Electronic computers. Computer science, Algorithm, 2605 Computational Mathematics, rank-order normalization, 1703 Computational Theory and Mathematics
الوصف: Standard (Lomb-Scargle, likelihood, etc.) procedures for power-spectrum analysis provide convenient estimates of the significance of any peak in a power spectrum, based—typically—on the assumption that the measurements being analyzed have a normal (i.e., Gaussian) distribution. However, the measurement sequence provided by a real experiment or a real observational program may not meet this requirement. The RONO (rank-order normalization) procedure generates a proxy distribution that retains the rank-order of the original measurements but has a strictly normal distribution. The proxy distribution may then be analyzed by standard power-spectrum analysis. We show by an example that the resulting power spectrum may prove to be quite close to the power spectrum obtained from the original data by a standard procedure, even if the distribution of the original measurements is far from normal. Such a comparison would tend to validate the original analysis.
وصف الملف: Sturrock_Scholkmann_RONO_algorithms_2020_Neo_USZ.pdf - application/pdf
اللغة: English
URL الوصول: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3fefa96d4adf133af454b19792cc0aa8
https://www.zora.uzh.ch/id/eprint/195308/
حقوق: OPEN
رقم الأكسشن: edsair.doi.dedup.....3fefa96d4adf133af454b19792cc0aa8
قاعدة البيانات: OpenAIRE