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Lithuanian Mathematical Journal

, Volume 21, Issue 4, pp 345–352 | Cite as

Inequalities of exponential type for some statistical estimates of the density of a distribution

  • A. Kazbaras
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Keywords

Statistical Estimate Exponential Type 
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Literature Cited

  1. 1.
    I. S. Gradshtein and I. M. Ryzhik, Tables of Integrals, Series, and Products, Academic Press (1966).Google Scholar
  2. 2.
    I. A. Ibragimov and R. Z. Khas'minskii, Asymptotic Theory of Estimation [in Russian], Nauka, Moscow (1979).Google Scholar
  3. 3.
    E. Parzen, “On estimation of a probability density function and mode,” Ann. Math. Statist.,33, No. 3, 1065–1076 (1962).Google Scholar
  4. 4.
    M. Rosenblatt, “Remarks on some nonparametric estimates of a density function,” Ann. Math. Stat.,27, No. 3, 832–837 (1959).Google Scholar
  5. 5.
    G. H. Hardy, J. E. Littlewood, and G. Polya, Inequalities, Cambridge Univ. Press (1952).Google Scholar
  6. 6.
    R. Z. Khas'minskii, “Lower limit of risks of nonparametric estimates of density in the uniform metric,” Teor. Veroyatn. Primen.,23, No. 4, 824–827 (1978).Google Scholar

Copyright information

© Plenum Publishing Corporation 1982

Authors and Affiliations

  • A. Kazbaras

There are no affiliations available

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