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A Method of Generating Random Vectors with a Given Probability Density Function

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Abstract

We propose a method for generating random independent vectors that have a given continuous distribution density with compact support. The main advantage of the proposed method are guaranteed estimates of the error in the generation of random vectors. We show an illustrative experimental comparison of the proposed method with the Metropolis-Hastings algorithm.

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References

  1. Sobol’, I.M., Chislennye metody Monte-Karlo (Numerical Monte Carlo Methods), Moscow: Nauka, 1973.

    MATH  Google Scholar 

  2. Rubinstein, R.Y. and Kroese, D.P., Simulation and the Monte Carlo Method, New York: Wiley, 2008.

    MATH  Google Scholar 

  3. von Neumann, J., Various Techniques Used in Connection with Random Digits, Appl. Math. Ser., National Bureau of Standards, United States Government Printing Office, Washington, DC, USA, 1951, vol. 12, pp. 36–38.

    Google Scholar 

  4. Metropolis, N., Rosenbluth, A.E., Rosenbluth, M.N., Teller, A.H., and Teller, E., Equation of State Calculations by Fast Computing Machines, J. Chem. Phys., 1953, vol. 21, no. 6, pp. 1087–1092.

    Article  Google Scholar 

  5. Chib, S. and Greenberg, E., Understanding the Metropolis–Hastings Algorithm, Am. Statist., 1995, vol. 49, no. 4, pp. 327–335.

    Google Scholar 

  6. Chib, S. and Jeliazkov, I., Marginal Likelihood from the Metropolis–Hastings Output, J. Am. Statist. Associat., 2001, vol. 96, no. 453, pp. 270–281.

    Article  MathSciNet  MATH  Google Scholar 

  7. Geweke, J. and Tanizaki, H., Note on the Sampling Distribution for the Metropolis–Hastings Algorithm, Commun. Statist. Theory Methods, 2003, vol. 32, no. 4, pp. 775–789.

    Article  MathSciNet  MATH  Google Scholar 

  8. Minh, D., Understanding the Hastings Algorithm, Commun. Statist. Simulat. Comput., 2015, vol. 44, no. 2, pp. 332–349.

    Article  MathSciNet  MATH  Google Scholar 

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Correspondence to B. S. Darkhovsky.

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Original Russian Text © B.S. Darkhovsky, Yu.S. Popkov, A.Yu. Popkov, A.S. Aliev, 2018, published in Avtomatika i Telemekhanika, 2018, No. 9, pp. 31–45.

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Darkhovsky, B.S., Popkov, Y.S., Popkov, A.Y. et al. A Method of Generating Random Vectors with a Given Probability Density Function. Autom Remote Control 79, 1569–1581 (2018). https://doi.org/10.1134/S0005117918090035

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  • DOI: https://doi.org/10.1134/S0005117918090035

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