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\subsection{What is FRETBursts}  In the last 20 years, single molecule FRET (smFRET), has emerged as one of the most  useful techniques in single-molecule spectroscopy~\cite{Weiss_1999}. spectroscopy~\cite{Weiss_1999},\cite{Hohlbein_2014}.  As opposed to ensemble experiments, smFRET allows to resolve conformational   changes of biomolecules or measure binding-unbinding kinetics on heterogeneous samples.   smFRET measurements on freely diffusing molecules (the focus of this paper) have the advantage