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A conditional distribution approach to uniform sampling on spheres and balls in L p spaces

Listed author(s):
  • Vladimír Lacko


  • Radoslav Harman


Registered author(s):

    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

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    Article provided by Springer in its journal Metrika.

    Volume (Year): 75 (2012)
    Issue (Month): 7 (October)
    Pages: 939-951

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    Handle: RePEc:spr:metrik:v:75:y:2012:i:7:p:939-951
    DOI: 10.1007/s00184-011-0360-x
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    1. Hashorva, Enkelejd, 2008. "Conditional limiting distribution of beta-independent random vectors," Journal of Multivariate Analysis, Elsevier, vol. 99(7), pages 1438-1459, August.
    2. Harman, Radoslav & Lacko, Vladimír, 2010. "On decompositional algorithms for uniform sampling from n-spheres and n-balls," Journal of Multivariate Analysis, Elsevier, vol. 101(10), pages 2297-2304, November.
    3. Goodman, Irwin R. & Kotz, Samuel, 1973. "Multivariate [theta]-generalized normal distributions," Journal of Multivariate Analysis, Elsevier, vol. 3(2), pages 204-219, June.
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