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section~\ref{sec:burstsel}).  \subsection{Burst weights}  As will be shown in the following sections, the burst search returns a   burst population with burst bursts  of different sizes (i.e. number of photons). The bursts Bursts  with largest large  size (thatcontains  indeed the contain  most of the  information) are much less frequent than bursts with small size. smaller sizes.  For this reason, in order to resolve FRET populations and accurately fit elucidate  their mean  FRET efficiency efficiency,  it is of paramount importance to select bursts with size larger than a given threshold (see   section~\ref{sec:burstsel}). The choice ofthe  burst size threshold is critical since a too low threshold will widenthe  FRET peaks because of subpopulations owing to  the inclusion of small sized bursts having higher FRET uncertainty, conversely uncertainty. Conversely  a too high threshold results in a lower number of bursts and FRET estimation can suffer from high statitical error. In order to mitigate the dependence on the burst size threshold it is   useful to weight bursts according to their size (i.e. their