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section~\ref{sec:burstsel}.  \subsection{Burst sizes and  weights} As will be shown in the following sections, the The number of photon detected during a  burst is commonly called the ``burst size''.  Bursts sizes are usually computed using all photons (e.g. \verb|nd + na + naa|),   or photons detected during a single excitation period (e.g. \verb|nd + na|).  Burst  search returns bursts yields a distribution  of different burst  sizes (i.e. number of photons). that approximately   follows an exponential distribution.  Bursts with large size (that indeed (which  contain most of the information) are much less frequent than bursts with smaller sizes. For this reason,in order  to resolve FRET populations and accurately assess their mean FRET efficiency,  it is of  paramount importance important  to select bursts with size burst sizes  larger than agiven  threshold (see in order  to properly characterize FRET populations(see  section~\ref{sec:burstsel}). Thechoice of  burst size threshold is critical because critical.  A  too low threshold will for instance widen broaden the  FRET histogram populations and introduce  artifacts (spurious  peaks owing to and patterns) because for  the inclusion majority  ofsmall sized  bursts having higher FRET uncertainty. E and S are ratios of small integers.  Conversely a  too high threshold will result in a lower number of bursts and FRET estimation  can suffer from possibly  poor statistics. statistics in representing FRET populations.  In order to mitigate the dependence on the burst size threshold it may be  useful to weight bursts according to their size (i.e. their