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<p>Pearson type V distribution is a class of heavy-tailed distributions which closely models the signal power of certain sea-clutter returns. The problem of point estimation from complete samples has been discussed in many literatures. In this paper, we introduce the joint maximum-likelihood estimation of the dispersion parameter of the Pearson law in censoring type II and nonlinear Bayes estimator case. The likelihood functions are written down and the nonlinear censored maximum-likelihood equation (CMLE) and Bayes estimator are obtained in numerical forms. For comparison purposes with the standard MLE approach. On the basis of the Monte-Carlo (MC) simulation, numerical examples are worked out by means of Bias and mean square error (MSE) metric tests. The CMLE method exhibits the best estimation results in all cases.</p>

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Censored maximum-likelihood and Bayes estimators of radar Pearson type V clutter dispersion parameter

  • 期刊论文

  • 发表日期：

    2025年9月11日

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  • Khaled Zebiri,
  • Amar Mezache

摘要

Pearson type V distribution is a class of heavy-tailed distributions which closely models the signal power of certain sea-clutter returns. The problem of point estimation from complete samples has been discussed in many literatures. In this paper, we introduce the joint maximum-likelihood estimation of the dispersion parameter of the Pearson law in censoring type II and nonlinear Bayes estimator case. The likelihood functions are written down and the nonlinear censored maximum-likelihood equation (CMLE) and Bayes estimator are obtained in numerical forms. For comparison purposes with the standard MLE approach. On the basis of the Monte-Carlo (MC) simulation, numerical examples are worked out by means of Bias and mean square error (MSE) metric tests. The CMLE method exhibits the best estimation results in all cases.