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Kernel Estimation of a Characteristic Function

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This article deals with the study of asymptotic properties of a nonparametric kernel estimator of a characteristic function. Uniformly strong consistency of kernel estimator with fixed and expanding interval is established. The law of iterated logarithm type is also proved.

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References

  1. A.A. Abdushukurov and K. S. Sagidullaev, “Approximations of smoothed empirical processes,” Trans. Inst. Higher Educ., No. 1–2, 51–58 (2003).

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Authors and Affiliations

  1. National University of Uzbekistan named after Mirzo Ulugbek, Tashkent, Uzbekistan

    A. A. Abdushukurov

  2. Gulistan State University, Guliston, Provincia de Sirdarin, Uzbekistan

    F. Sh. Norboev

Authors
  1. A. A. Abdushukurov
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  2. F. Sh. Norboev
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Corresponding author

Correspondence to A. A. Abdushukurov.

Additional information

Translated from Statisticheskie Metody Otsenivaniya i Proverki Gipotez, Vol. 19, pp. 26–33, 2006

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Abdushukurov, A.A., Norboev, F.S. Kernel Estimation of a Characteristic Function. J Math Sci 220, 643–649 (2017). https://doi.org/10.1007/s10958-016-3207-1

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  • DOI: https://doi.org/10.1007/s10958-016-3207-1

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