  Neutrino telescopes detect the emission of Cherenkov light resulting from the
tracks and showers of charged and neutral current neutrino interactions. These
tracks or showers are reconstructed using a corresponding probability density
function (PDF) which depends on measured time and location of the detected
photo-electrons. We call a composite event the mixed detector response due to
the juxtaposition of more than one Cherenkov light source (track or shower).
This paper presents the construction of a generic PDF corresponding to a
composite hypothesis. This composite PDF is therefore useful to reconstruct an
arbitrary event topology and to favor or discard a given event topology
hypothesis.
