The equivalence between partial moments and stochastic dominance dates back to Bawa and Fishburn. We present a test for first, second, and third degree stochastic dominance between two variables using Lower Partial Moments. The results uphold Hadar and Russell's original conclusions about the...

We show that the Cumulative Distribution Function (CDF) is represented by the ratio of the lower partial moment (LPM) ratio to the distribution for the interval in question. The addition of the upper partial moment (UPM) ratio enables us to create probability density functions (PDF) for any...

Analysis of Variance (ANOVA) is a statistical method used to determine whether a sample originated from a larger population distribution. We provide an alternate method of determination using the continuous cumulative distribution functions derived from degree one lower partial moment ratios....