We derive a general approximation to the distribution of count data based on the first two moments of the underlying interarrival distribution. The result is a variant of the Birnbaum-Saunders (BISA) distribution. This distribution behaves like the lognormal in several respects; however, we show...

As supermarkets have developed the capability to gather customer data, their focus on customer loyalty has increased; however, retailers cannot actually measure loyalty. In this paper, we propose and test a hierarchical Bayesian approach to predicting customers' share-of-wallet loyalty that offers...