This paper explores differences in the frequency with which students from different schools reach high levels of math achievement. Data from the American Mathematics Competitions is used to produce counts of high-scoring students from more than two thousand public, coeducational, non-magnet,...

In this paper, a new member of the Poisson family of distributions called the Poison-Exponential-Gamma (PEG) distribution for modeling count data is proposed by compounding the Poisson with Exponential-Gamma distributions. The first four moments about the origin and mean of the new PEG...