采用梅林变换的帕累托分布参数估计方法

doi:10.3969/j.issn.1001-2400.2018.04.004

Abstract

Abstract:

Some traditional parameters estimation methods have some problems that the estimation range is limited, that the computation is complicated, and that the number of pulses accumulated is limited. In order to solve these problems, a novel parameter estimation method of sea clutter under Pareto distribution is proposed in this paper. In the proposed method, the probability density function is firstly transformed with Mellin transform. Then the second kind of characteristic function of Pareto distribution is computed under the different numbers of pulses, and the first two logarithmic cumulants of Pareto distribution are deduced in detail. Finally, a comparison between the proposed method and some traditional methods is made based on the Monte Carlo simulation experiments. Experimental results show that the proposed method not only can estimate the parameters in all defined domains with a high fitting precision, but also has a more concise analytical expression with a low computational complexity.

Key words: parameter estimation, sea clutter, Pareto distribution, Mellin transform, log-cumulants

CHEN Shichao;LUO Feng;LUO Meiyixiang;HU Chong. Estimation of parameters of Pareto distribution using Mellin transform[J].Journal of Xidian University, 2018, 45(4): 18-22+117.

References

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Estimation of parameters of Pareto distribution using Mellin transform

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