Evaluation for moments of a ratio with application to regression estimation
نویسندگان
چکیده
Many problems involve ratios in probability or in statistical applications. We aim at approximating the moments of such ratios under specific assumptions. Using ideas from Collomb (1977) [7], we propose sharper bounds for the moments of randomly weighted sums which also may appear as a ratio of two random variables. Suitable applications are given in more detail here in the fields of functional estimation, in finance and for censored data analysis. Several weak dependence dependence situations are considered. AMS 2000 subject classifications: Primary 60F25, 60G10; secondary 62G08, 62M10.
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ar X iv : 0 80 5 . 02 28 v 1 [ m at h . ST ] 2 M ay 2 00 8 Evaluation for moments of a ratio with application to regression estimation
Many problems involve ratios in probability or in statistical applications. We aim at approximating the moments of such ratios under specific assumptions. Using ideas from Collomb (1977) [7], we propose sharper bounds for the moments of randomly weighted sums which also may appear as a ratio of two random variables. Suitable applications are given in more detail here in the fields of functional...
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