For the sake of clarity an explicit definition of short, medium, and long term is required. In this work short term refers to the 2–4 and 4–8 day period bands. Medium term refers to the 8–16 and 16–32 day bands. Long term will be used to refer to the 32–64, 64–128, 128–256 and 256–512 day bands. The short, medium, and long term bands will be considered separately to begin with, and then considered collectively alongside the results of the GSADF bubble test.
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Interpretation of visual scalograms is subjective so it is desirable to find a more quantifiable way to validate the strengthening of coherence in bubble regimes. Fig 6 shows the wavelet coherence over time for the different period bands, in the case of the “new authors” factor for Ethereum. Coherence values, plotted on the vertical axis, vary between zero and one. Time is plotted on the horizontal axis. The areas of the price time series that are recorded as bubble-like regimes using the GSADF test are shaded red.
Although transaction fees don’t accrue to sellers, miners are permitted to prioritize fee-loaded transactions ahead of fee-free transactions when creating new blocks, even if the fee-free transactions came first in time.