作者mangogogo (mangogo)
看板NCTU-STAT95G
标题演讲
时间Fri Dec 8 21:40:15 2006
交通大学、清华大学统计学研究所
专题演讲
时间 95年12月15日(星期五)上午10:40-11:30
(上午10:20-10:40茶会於交大统计所428室举行)
地点 交大综合一馆427室
主讲人 蔡明田教授（中研院统计所）
讲题 The Optimal Rank Tests for Modal Direction
摘要
Spatial statistics arises when the data are points in some Euclidean space
(usually R2 or R3) or some surface (usually the unit circle S1 or the unit
sphere S2). For a general class of unipolar, rotationally symmetric
distributions on the multi-dimensional unit spherical surface, a
characterization of locally best rotation-invariant test statistics is
exploited in the construction of locally best rotation- invariant rank tests
for modal location. Allied statistical distributional problems are appraised,
and in the light of these assessments, asymptotic relative efficiency of a
class of rotation-invariant rank tests (with respect to some of their
parametric counterparts) is studied.Finite sample permutational distributional
perspectives are also appraised.
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