Print Email Facebook Twitter Estimating higher-order structure functions from geophysical turbulence time-series Title Estimating higher-order structure functions from geophysical turbulence time-series: Confronting the curse of the limited sample size Author DeMarco, Adam (University of North Carolina) Basu, S. (TU Delft Atmospheric Remote Sensing) Date 2017 Abstract Utilizing synthetically generated random variates and laboratory measurements, we document the inherent limitations of the conventional structure function approach in limited sample size settings. We demonstrate that an alternative approach, based on the principle of maximum likelihood, can provide nearly unbiased structure function estimates with far less uncertainty under such unfavorable conditions. The superiority of this approach over the conventional approach does not diminish even in the case of strongly correlated samples. Two entirely different types of probability distributions, which have been reported in the turbulence literature, are found to be compatible with the proposed approach. To reference this document use: http://resolver.tudelft.nl/uuid:1ec19dea-6418-43db-bae5-d7c3c36021ae DOI https://doi.org/10.1103/PhysRevE.95.052114 ISSN 1539-3755 Source Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), 95 (5) Part of collection Institutional Repository Document type journal article Rights © 2017 Adam DeMarco, S. Basu Files PDF 1_s2.0_S187770581731425X_main.pdf 2.57 MB Close viewer /islandora/object/uuid:1ec19dea-6418-43db-bae5-d7c3c36021ae/datastream/OBJ/view