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Convergence of generalized Lorenz curves based on stationary ergodic random sequences with deterministic noise

✍ Scribed by Youri Davydov; Ričardas Zitikis


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
153 KB
Volume
59
Category
Article
ISSN
0167-7152

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✦ Synopsis


We consider the Glivenko-Cantelli-type asymptotic behaviour of the empirical generalized Lorenz curves based on random variables forming a stationary ergodic sequence with deterministic noise. As a consequence of these results, we obtain a description of the set of limiting curves of the convexiÿcations of stochastic processes with stationary increments and deterministic trends.