It can be observed that in the short term (2–4 and 4–8 day period band) there is no consistency in results; in some cases the null hypothesis can be rejected and in some cases it cannot. In the medium term there is more consistency in rejection of the null hypothesis in favour of bubble regime coherence values significantly exceeding the non-bubble regime values. In the long term, the proportion of instances exhibiting statistical significance reduces, with the majority of cases in the 256–512 band not being a rejection of the null hypothesis. This reduction of statistically significant differences when considering longer term periods further emphasises the point that it is the medium term in which coherences tend to strengthen during bubble regimes.
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.

Wavelets are wavelike functions used to transform signals into a representation which has time and frequency domain components. Visually wavelets appear as wave-like oscillations with an amplitude that starts at zero, increases, then returns to zero. Another way to consider a wavelet is as a bandpass filter, which can be applied to a time series under investigation, letting through only components of the time series within a finite range of frequencies to different extents depending on the energy spectrum of the wavelet. Wavelets take the form:
On Tuesday 9 November, Bitcoin’s price was trading up by roughly 11.5% on the last week after soaring to a new record price of over $68,000 on Tuesday morning.