A note on estimation of intensities of fire ignitions with incomplete data

Occurrences of fire ignitions in a given region during a specified period of time are modelled as outcomes of a Poisson point process. The ignition frequency is considered a function of the total floor area of the building. Parameter estimates and their uncertainties are computed. Different criteria for model selection are used. The proposed methodology is specifically useful in the case with small data sets or lack of information about the population at risk.