1. An apparatus comprising: means for generating a measured count distribution data for neutrons emitted from a source, utilizing a defined sampling method; means for computing truncated statistical moments for the measured count distribution data; means for executing a transform function on the measured count distribution data to obtain a time-dependent parameter (lambda) space, and to generate a model count distribution; means for mapping probability values within the measured count distribution data to the model count distribution based on untruncated count distribution data; means for generating untruncated statistical moments based on the probability values; means for fitting an equation to a plot of the truncated statistical moments to provide at least one of a deadtime parameter, a lifetime parameter or a bias parameter, and to select one or more physical parameters of interest from the measured count distribution; means for performing an iterative algebraic process to compute solutions for the selected physical parameters of interest; means for verifying the computed solutions using parameters associated with the lambda space and the model count distribution, and generating solution estimates for the selected physical parameters if the verification reveals incorrect results for the computed solutions of the selected physical parameters; means for comparing the untruncated statistical moments to the truncated statistical moments; means for comparing the untruncated measured count distribution to the model count distribution; and means for comparing the solution estimates with the measured count distribution data to provide an indication of the correct solution for the selected physical parameters.