some asymptotic results of kernel density estimator in length-biased sampling
نویسندگان
چکیده
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:
journal of sciences, islamic republic of iranناشر: university of tehran
ISSN 1016-1104
دوره 24
شماره 1 2013
میزبانی شده توسط پلتفرم ابری doprax.com
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