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On methods for generating uniform random points on the surface of a sphere

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  • Yoshihiro Tashiro

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Suggested Citation

  • Yoshihiro Tashiro, 1977. "On methods for generating uniform random points on the surface of a sphere," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 29(1), pages 295-300, December.
    • Handle: RePEc:spr:aistmt:v:29:y:1977:i:1:p:295-300
    DOI: 10.1007/BF02532791
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    Cited by:

    1. Michael Grabchak, 2021. "On the transition laws of p-tempered $$\alpha $$ α -stable OU-processes," Computational Statistics, Springer, vol. 36(2), pages 1415-1436, June.
    2. Kai-Tai Fang & Run-Ze Li, 1997. "Some methods for generating both an NT-net and the uniform distribution on a Stiefel manifold and their applications," Computational Statistics & Data Analysis, Elsevier, vol. 24(1), pages 29-46, March.
    3. Yang, Zhenhai & Pang, W.K. & Hou, S.H. & Leung, P.K., 2005. "On a combination method of VDR and patchwork for generating uniform random points on a unit sphere," Journal of Multivariate Analysis, Elsevier, vol. 95(1), pages 23-36, July.
    4. Jiajuan Liang & Kai-Tai Fang & Fred Hickernell, 2008. "Some necessary uniform tests for spherical symmetry," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 60(3), pages 679-696, September.
    5. Liang, Jia-Juan & Bentler, Peter M., 1999. "A t-distribution plot to detect non-multinormality," Computational Statistics & Data Analysis, Elsevier, vol. 30(1), pages 31-44, March.
    6. Hörmann, Wolfgang & Sak, Halis, 2010. "t-Copula generation for control variates," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(4), pages 782-790.
    7. 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.
    8. El Khaldi Khaldoun & Saleeby Elias G., 2017. "On the tangent model for the density of lines and a Monte Carlo method for computing hypersurface area," Monte Carlo Methods and Applications, De Gruyter, vol. 23(1), pages 13-20, March.
    9. Yang, Jun & He, Ping & Fang, Kai-Tai, 2022. "Three kinds of discrete approximations of statistical multivariate distributions and their applications," Journal of Multivariate Analysis, Elsevier, vol. 188(C).

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