학술논문
A conditional distribution approach to uniform sampling on spheres and balls in L p spaces
Document Type
redif-article
Author
Source
Springer, Metrika: International Journal for Theoretical and Applied Statistics. 75(7):939-951
Subject
Language
English
Abstract
Liang and Ng (Metrika 68:83–98, 2008 ) proposed a componentwise conditional distribution method for L p -uniform sampling on L p -norm n-spheres. On the basis of properties of a special family of L p -norm spherical distributions we suggest a wide class of algorithms for sampling uniformly distributed points on n-spheres and n-balls in L p spaces, generalizing the approach of Harman and Lacko (J Multivar Anal 101:2297–2304, 2010 ), and including the method of Liang and Ng as a special case. We also present results of a numerical study proving that the choice of the best algorithm from the class significantly depends on the value of p. Copyright Springer-Verlag 2012