A method for determining a distribution of events, a method for determining a distribution of particle sizes in a sample of air, and an apparatus for performing the same are provided. The method includes obtaining a measured ensemble property distribution function for one or more events, generating one or more theoretical ensemble property distribution functions based on Poisson statistics using one or more model parameters, and determining an event parameter property distribution function by fitting one or more of the theoretical ensemble property distribution functions to the measured ensemble property distribution function using a forward inversion algorithm.
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