交通大學、清華大學統計學研究所
專題演講
時間 95年12月15日(星期五)上午10:40-11:30
(上午10:20-10:40茶會於交大統計所428室舉行)
地點 交大綜合一館427室
主講人 蔡明田教授（中研院統計所）
講題 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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