Some Asymptotic Results of Kernel Density Estimator in Length-Biased Sampling
نویسندگان
چکیده مقاله:
In this paper, we prove the strong uniform consistency and asymptotic normality of the kernel density estimator proposed by Jones [12] for length-biased data.The approach is based on the invariance principle for the empirical processes proved by Horváth [10]. All simulations are drawn for different cases to demonstrate both, consistency and asymptotic normality and the method is illustrated by real automobile brake pads data.
منابع مشابه
some asymptotic results of kernel density estimator in length-biased sampling
in this paper, we prove the strong uniform consistency and asymptotic normality of the kernel density estimator proposed by jones [12] for length-biased data.the approach is based on the invariance principle for the empirical processes proved by horváth [10]. all simulations are drawn for different cases to demonstrate both, consistency and asymptotic normality and the method is illustrated by ...
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عنوان ژورنال
دوره 24 شماره 1
صفحات 55- 62
تاریخ انتشار 2013-03-01
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