Computing Higher Central Moments for Interval Data
Владик Крейнович, Luc Longpré, Scott Ferson, Lev R. Ginzburg · scholarworks - UTEP (The University of Texas at El Paso) · 2004
Higher central moments are very useful in statistical analysis: the third moment M3 characterizes asymmetry of the corresponding probability distribution, the fourth moment M4 describes the size of the distribution's tails, etc. When we know the exact values x1,...,xn, we can use the known formulas for computing the corresponding sample central moments. In many practical situations, however, we only know intervals [x1],...,[xn] of possible values of xi; in such situations, we want to know the range of possible values of Mm. In this paper, we propose algorithms that compute such ranges.