A confidence interval for the slope of a truncated regression |
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Authors: | André Antille Philip Milasevic |
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Institution: | (1) Institut de Mathématiques, Université de Fribourg, CH-1700 Fribourg, Switzerland;(2) UER de Mathématiques, Faculté SSP, Université de Lausanne, CH-1015 Lausanne, Switzerland |
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Abstract: | Summary Bhattacharya, Chernoff and Yang (1983) proposed a nonparametric estimate for the slope of a regression lineY =
o
X + V subjected to the truncationYy
0. The estimate corresponds to the zero-crossing of a random functionS
n
(). In this paper an estimate for the asymptotic variance of the estimate of the slope is proposed and the rate of convergence is given. The proofs rest heavily on the local behavior ofS
n
() in the neighborhood of the true value o. |
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Keywords: | |
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