Random probability analysis of heavy-element data

In this paper, we present the Monte Carlo Random Probability (MCRP) calculational method details that were developed for the determination of random correlations in a set of unrelated data. After finding random correlations, we further process the correlations by applying nuclear property systematics. We compare the results of MCRP with methods presented in other references. The MCRP method can provide a conservative estimate of the random probability associated with observed events that takes into account the entire background observed in the experiment and any other running conditions (noise, decay of long-lived species, etc.) which may have been sporadic or intermittent. We discuss a particular example of a set of correlated alpha decays and its interpretation as a candidate decay chain.