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Asymptotic behaviors of the Lorenz curve under strong mixing
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نویسنده
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fakoor v. ,rad n.n.
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منبع
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pakistan journal of statistics - 2011 - دوره : 27 - شماره : 3 - صفحه:231 -239
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چکیده
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In this paper,we consider a nonparametric estimator of the lorenz curve when data are showing some kind of dependence. the uniform strong convergence rate of the estimator under strong mixing hypothesis is obtained. strong gaussian approximation for the associated lorenz process are established under appropriate assumptions. a law of the iterated logarithm for the lorenz process is also derived. © 2011 pakistan journal of statistics.
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کلیدواژه
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Law of the iterated logarithm; Lorenz process; Quantile process; Strong gaussian approximation; Strong mixing; Strong uniform consistency
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آدرس
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ferdowsi university of mashhad, ایران, department of statistics,islamic azad university, ایران
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Authors
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