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Generating Halton sequences using Mata

Author

Listed:
  • David M. Drukker

    (StataCorp)

  • Richard Gates

    (StataCorp LP)

Abstract

This paper discusses the advantages of Halton sequences over pseudo- random uniform numbers when using simulation to approximate integrals numeri- cally. We describe two types of sequences and give Mata examples. Finally, we doc- ument the Mata function halton(), currently in release 9.1 of Stata, which com- putes both a Halton sequence and its Hammersley variant. Options to use these point sets are available in the Stata 9 program asmprobit, a multinomial-probit estimator, and in the Stata 9.1 Mata function ghk(), the Geweke – Hajivassiliou – Keane multivariate-normal simulator.

Suggested Citation

  • David M. Drukker & Richard Gates, 2006. "Generating Halton sequences using Mata," Stata Journal, StataCorp LP, vol. 6(2), pages 214-228, June.
    • Handle: RePEc:tsj:stataj:v:6:y:2006:i:2:p:214-228
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    Citations

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    Cited by:

    1. Steffen Andersen & Glenn Harrison & Arne Hole & Morten Lau & E. Rutström, 2012. "Non-linear mixed logit," Theory and Decision, Springer, vol. 73(1), pages 77-96, July.
    2. Sauer, Johannes & Zilberman, David, 2009. "Innovation Behaviour At Farm Level – Selection And Identification," 83rd Annual Conference, March 30 - April 1, 2009, Dublin, Ireland 51073, Agricultural Economics Society.
    3. Erik Meijer & Arie Kapteyn & Tatiana Andreyeva, 2008. "Health Indexes and Retirement Modeling in International Comparisons," Working Papers 614, RAND Corporation.
    4. Federico Belotti & Silvio Daidone & Giuseppe Ilardi & Vincenzo Atella, 2013. "Stochastic frontier analysis using Stata," Stata Journal, StataCorp LP, vol. 13(4), pages 718-758, December.
    5. Sauer, Johannes & Zilberman, David D., 2009. "Innovation behaviour at micro level - selection and identification," Department of Agricultural & Resource Economics, UC Berkeley, Working Paper Series qt6t49r0fh, Department of Agricultural & Resource Economics, UC Berkeley.
    6. Roberto Fontana & Alessandro Nuvolari & Hiroshi Shimizu & Andrea Vezzulli, 2013. "Schumpeterian Patterns of Innovation and the Sources of Breakthrough Inventions: Evidence from a Data-set of R&D Awards," Economic Complexity and Evolution, in: Andreas Pyka & Esben Sloth Andersen (ed.), Long Term Economic Development, edition 127, pages 313-340, Springer.
    7. Stanislav Kolenikov, 2012. "Scrambled Halton sequences in Mata," Stata Journal, StataCorp LP, vol. 12(1), pages 29-44, March.
    8. Yuanyuan Gu & Arne Risa Hole & Stephanie Knox, 2013. "Fitting the generalized multinomial logit model in Stata," Stata Journal, StataCorp LP, vol. 13(2), pages 382-397, June.
    9. Klaus Nowotny & Dieter Pennerstorfer, 2011. "Ethnic Networks and the Location Choice of Migrants in Europe," WIFO Working Papers 415, WIFO.
    10. Steffen Andersen & John Fountain & Glenn Harrison & Arne Hole & E. Rutström, 2012. "Inferring beliefs as subjectively imprecise probabilities," Theory and Decision, Springer, vol. 73(1), pages 161-184, July.
    11. Galárraga, Omar & Kuo, Caroline & Mtukushe, Bulelwa & Maughan-Brown, Brendan & Harrison, Abigail & Hoare, Jackie, 2020. "iSAY (incentives for South African youth): Stated preferences of young people living with HIV," Social Science & Medicine, Elsevier, vol. 265(C).
    12. Arne Risa Hole, 2007. "Fitting mixed logit models by using maximum simulated likelihood," Stata Journal, StataCorp LP, vol. 7(3), pages 388-401, September.
    13. Erik Meijer & Arie Kapteyn & Tatiana Andreyeva, 2011. "Internationally comparable health indices," Health Economics, John Wiley & Sons, Ltd., vol. 20(5), pages 600-619, May.
    14. Sauer, J. & Zilbermann, D., 2010. "Innovation Behaviour At Farm Level – Selection And Identification," Proceedings “Schriften der Gesellschaft für Wirtschafts- und Sozialwissenschaften des Landbaues e.V.”, German Association of Agricultural Economists (GEWISOLA), vol. 45, March.
    15. Becker, Gideon, 2014. "The portfolio structure of German households: A multinomial fractional response approach with unobserved heterogeneity," University of Tübingen Working Papers in Business and Economics 74, University of Tuebingen, Faculty of Economics and Social Sciences, School of Business and Economics.
    16. Marco A. Palma & Dmitry V. Vedenov & David Bessler, 2020. "The order of variables, simulation noise, and accuracy of mixed logit estimates," Empirical Economics, Springer, vol. 58(5), pages 2049-2083, May.
    17. Erik Meijer & Arie Kapteyn & Tatiana Andreyeva, 2008. "Health Indexes and Retirement Modeling in International Comparisons," Working Papers WR-614, RAND Corporation.
    18. David Roodman, 2011. "Fitting fully observed recursive mixed-process models with cmp," Stata Journal, StataCorp LP, vol. 11(2), pages 159-206, June.
    19. Jürgen Janger & Klaus Nowotny, 2013. "Career Choices in Academia. WWWforEurope Working Paper No. 36," WIFO Studies, WIFO, number 46922, April.
    20. Abiodun A. Ogundeji, 2022. "Adaptation to Climate Change and Impact on Smallholder Farmers’ Food Security in South Africa," Agriculture, MDPI, vol. 12(5), pages 1-16, April.
    21. David Roodman, 2009. "Estimating Fully Observed Recursive Mixed-Process Models with cmp," Working Papers 168, Center for Global Development.

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