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      A New Type of Moment Estimator for the K-distribution Shape Parameter with High Accuracy and Efficiency

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          Abstract

          The X-Estimator (XE) for the K-distribution shape parameter v based on the zlog(z) expectation can be computed without solving nonlinear equations; thus, it has high estimating efficiency. Nonetheless, its estimating accuracy is lower than many other moment estimators, and occasionally the XE results in odd values. To best use its advantages and avoid its disadvantages, on the basis of derivation and analysis of the XE bias using a set of Monte Carlo experiments, the X-Estimator with a Corrective term (XCE), which overcomes the above shortcomings of the XE, is discussed. Simulations show that the XE and XCE have the same high computational estimating efficiency, whereas the XCE significantly enhances the accuracy of the estimating shape parameter.

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          Author and article information

          Journal
          Journal of Radars
          Chinese Academy of Sciences
          01 August 2014
          : 3
          : 4
          : 439-443
          Affiliations
          [1 ] (Academy of Opto-electronics, Chinese Academy of Science, Beijing 100094, China)
          Article
          d1854db27aee41beb87e8f09461aff72
          10.3724/SP.J.1300.2014.14017

          This work is licensed under a Creative Commons Attribution 4.0 Unported License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

          Categories
          Technology (General)
          T1-995

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