Abstract
Tashiro (Ann Inst Stat Math 29:295–300, 1977) studied methods for generating unform points on the surface of the regular unit sphere. The L p -norm unit sphere is a generalization of the regular unit sphere. In this paper we propose a method associated with an algorithm for generating uniformly scattered points on the L p -norm unit sphere and discuss its applications in statistical simulation, representative points of a wide class of multivariate probability distributions and optimization problems. Some examples are illustrated for these applications.
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This research was supported by The University of Hong Kong Research Grant and a University of New Haven 2005 and 2006 Summer Faculty Fellowships.
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Liang, J., Ng, K.W. A method for generating uniformly scattered points on the L p -norm unit sphere and its applications. Metrika 68, 83–98 (2008). https://doi.org/10.1007/s00184-007-0144-5
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DOI: https://doi.org/10.1007/s00184-007-0144-5