Convergence of generalized Lorenz curves based on stationary ergodic random sequences with deterministic noise
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 convexifications of stochastic processes with stationary increments and deterministic trends.
Year of publication: |
2002
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Authors: | Davydov, Youri ; Zitikis, Ricardas |
Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 59.2002, 4, p. 329-340
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Publisher: |
Elsevier |
Keywords: | Lorenz curve Ergodic process Stationary process Convexification |
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