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Journal of Sciences Islamic Republic of Iran، جلد ۲۳، شماره ۲، صفحات ۱۷۱-۱۷۷
عنوان فارسی Asymptotic Behaviors of the Lorenz Curve for Left Truncated and Dependent Data
چکیده فارسی مقاله 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 انگلیسی Asymptotic Behaviors of the Lorenz Curve for Left Truncated and Dependent Data
چکیده انگلیسی مقاله 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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نویسندگان مقاله m بلبلیان قالی باف | bolbolian ghalibaf
department of statistics, school of mathematical sciences and computer, hakim sabzevari univercity,

نشانی اینترنتی http://jsciences.ut.ac.ir/article_25070_453a46e5e4cb607054363a5d4a914521.pdf
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