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Nakagami Distribution Parameters Comparatively Estimated by the Moment and Maximum Likelihood Methods

  • Analysis and Synthesis of Signals and Images
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Optoelectronics, Instrumentation and Data Processing Aims and scope

Abstract

Probability distribution density parameters determined using the maximum likelihood and moment methods are comparatively estimated according to their accuracy and complexity of estimation algorithms. Expressions determining the Nakagami distribution parameters by the maximum likelihood method are obtained. A method for estimating the Nakagami distribution parameters by the moment method in which the distribution moments are replaced by their estimates is described. It is noted that parameter estimation by the maximum likelihood method has a smaller variance and bias as compared to estimation by the moment method, especially with a small sample size. It is shown that, unlike energy parameter estimation, the real laws of Nakagami distribution are approximated using a large volume of statistical data that describe the signal.

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Authors and Affiliations

  1. Technological University, ul. Gagarina 42, Korolev, 141070, Russia

    V. M. Artyushenko

  2. Volga Region State University of Service, ul. Gagarina 4, Tolyatti, 445017, Russia

    V. I. Volovach

Authors
  1. V. M. Artyushenko
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  2. V. I. Volovach
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Corresponding authors

Correspondence to V. M. Artyushenko or V. I. Volovach.

Additional information

Russian Text © The Author(s), 2019, published in Avtometriya, 2019, Vol. 55, No. 3, pp. 31–37.

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Artyushenko, V.M., Volovach, V.I. Nakagami Distribution Parameters Comparatively Estimated by the Moment and Maximum Likelihood Methods. Optoelectron.Instrument.Proc. 55, 237–242 (2019). https://doi.org/10.3103/S875669901903004X

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  • DOI: https://doi.org/10.3103/S875669901903004X

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