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Estimation of Probability Density Function in the Case of Multiplicative Noise

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Abstract

In the present paper, we consider the problem of probability density function estimation. Our data has multiplicative noise; therefore, we cannot use direct methods. Our method is based on estimation of coefficients of the Fourier transform for the density function.

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References

  1. I. K. Glad, N. L. Hjort, and N. G. Ushakov, “Correction of density estimators that are not densities,” Scand. J. Statist., 30, No. 2, 415–427 (2003).

    Article  MathSciNet  Google Scholar 

  2. J. D. Hart, “On the choice of a truncation point in Fourier series density estimation,” J. Statist. Comput. Simul., 21, 95–116 (1985).

    Article  MathSciNet  Google Scholar 

  3. B. W. Silverman, Density Estimation for Statistics and Data Analysis, Chapman & Hall, London (1952).

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  4. L. Wasserman, All of Nonparametric Statistics, Springer, Berlin (2006).

    MATH  Google Scholar 

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Correspondence to E. S. Filatova.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 23, No. 1, pp. 259–267, 2020.

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Filatova, E.S., Shklyaev, A.V. Estimation of Probability Density Function in the Case of Multiplicative Noise. J Math Sci 262, 574–580 (2022). https://doi.org/10.1007/s10958-022-05837-5

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  • DOI: https://doi.org/10.1007/s10958-022-05837-5

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