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Showing papers by "Pranab Kumar Sen published in 1992"


01 Jan 1992
TL;DR: The classical R~stimators in linear models are computationally more cumbersome than the regression rank scores estimators as discussed by the authors, and they are shown to be asymptotically equivalent under appropriate regularity conditions.
Abstract: The classical R~stimators in linear models are computationally more cumbersome than the regression rank scores estimators. Under appropriate regularity conditions, both the methods are shown to be asymptotically equivalent. A· coordinatewise modification of regression rank scores estimators is also considered in this setup.

5 citations


Journal ArticleDOI
TL;DR: In this article, a stopping time for fixed-width confidence interval estimation of a real-valued parameter θ(F) is considered and sufficient conditions for asymptotic efficiency and normality of the stopping time are given.
Abstract: Analogous to the usual stopping time for fixed-width confidence interval estimation of a real-valued parameter θ(F), a stopping time for fixed-width confidence band estimation of, a statistical functional process RF is considered. Techniques for showing that the resulting sequential confidence region has the correct asymptotic coverage probability are illustrated in several examples. Sufficient conditions for asymptotic efficiency and normality of the stopping time are given. Some implications of using the stopping time in conjunction with a bootstrap confidence band procedure are investigated in the context of estimating a dstribution function.

1 citations


Journal ArticleDOI
TL;DR: In this article, a fixed line L (in Rn) and a uniform distribution of points (c) on the unit sphere, L(tc), the point of intersection of L and the hyperplane P · c = 0, is shown to have a Cauchy distribution.