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Paul St-Aubin edited Methodology Measurements TTC.tex
almost 10 years ago
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Time-to-collision is measured instantaneously: a new value of TTC may exist for every interaction-instant. Thus, a pair of users may have a time series of TTC observations evolving over time. Some efforts have been made to study these evolutions microscopically [CITE]. Other approaches focus on minima or quantile observations [CITE], while others still attempt to examine step-by-step risk.
TTC distributions are generally gamma-like-shaped across the literature. Quantifying TTC risk is the remaining puzzle piece. TTC thresholds have been popular, though are subject to arbitrary selection. One recent approach proposed a shifted gamma-generalised pareto distribution model \cite{Zheng_2014}. In the meantime, some qualitative analysis is possible in some circumstances, for example
when shifts in center of mass of distributions are clear as demonstrated in Figure~\ref{fig:distro-comparison}. This approach has been tried in some early applications of the methodology, e.g. in \cite{Autey_2012}
and in \cite{St_Aubin_2013}.