asymptotic behaviors of the lorenz curve for left truncated and dependent data
نویسندگان
چکیده
the purpose of this paper is to provide some asymptotic results for nonparametric estimator of the lorenz curve and lorenz process for the case in which data are assumed to be strong mixing subject to random left truncation. first, we show that nonparametric estimator of the lorenz curve is uniformly strongly consistent for the associated lorenz curve. also, a strong gaussian approximation for the associated lorenz process is established under appropriate assumptions. using this strong gaussian approximation, a law of the iterated logarithm for the lorenz process is also derived.
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عنوان ژورنال:
journal of sciences, islamic republic of iranناشر: university of tehran
ISSN 1016-1104
دوره 23
شماره 2 2012
میزبانی شده توسط پلتفرم ابری doprax.com
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