Measures of location, spread, and other properties of distributions that are computed from linear combinations of the ordered data values x(1)≤x(2)≤…≤x(n) (with mean x̄, which is the first L-moment). Defining the quantities b1, b2,…,bn-1 by the next three L-moments are 2b1 − x̄, 6b2 − 6b1 + x̄, and 20b3 − 30b2 + 12b2 + 12b1 − x̄. The second L-moment is related to the Gini statistic. An advantage of L-moments is that they can be calculated even when distributions have infinite variances.
Subjects: Probability and Statistics.