We consider generalized absolute Lorenz curves that include, as special cases, classical and generalized L - statistics as well as absolute or, in other words, generalized Lorenz curves. The curves are based on strictly stationary and ergodic sequences of random variables. Most of the previous results were obtained under the additional assumption that the sequences are weakly Bernoullian or, in other words, absolutely regular. We also argue that the latter assumption can be undesirable from the applications point of view

Strong theorems (msc 60F15), Asymptotic properties (msc 62G20), Order statistics; empirical distribution functions (msc 62G30)
CWI. Probability, Networks and Algorithms [PNA]
Algebra and Statistics

Helmers, R, & Zitikis, R. (2004). Strong laws for generalized absolute Lorenz curves when data are stationary and ergodic sequences. CWI. Probability, Networks and Algorithms [PNA]. CWI.