Journal of the Korean Data and Information Science Society

한국데이터정보과학회 (The Korean Data and Information Science Society)
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Asymptotic Distribution of the Estimator for Rotation in Orientation-Shift Model on the Sphere

  • 발행 : 1999.04.30
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초록

An orientation-shift model for unit random vectors in $R^3$ is defined. The Euler angles are introduced to parametrize orientation-shifts and their moment estimators are found. Through the analytic perturbation method, the asymptotic distributions of the estimators are obtained.

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참고문헌

  1. Pertubation Theory for Linear Operators (2nd ed) Kato, T.
  2. Ph D. thesis. Univ. of Califirina Orientation-shift Model on the Sphere Kom, K. M.
  3. Journal of Econometrics v.70 The Lucas critique revistied: Assessing the stability of empirical euler equations for investment Oliner, S. D.;Rudebusch, G. D.;Sichel. D.
  4. The Annals of Statistics v.9 On the asymptotic inference for eigenbvectors Tyler, D. E.
  5. Technical Report v.93 Orientation Statistics in the Earth Science Watson, G. S.
  6. Statistics on Spheres Watson, G. S.;John Wiley;Sons