论文标题

Beta广义正态分布,并应用SAR图像处理

Beta Generalized Normal Distribution with an Application for SAR Image Processing

论文作者

Cintra, R. J., Rêgo, L. C., Cordeiro, G. M., Nascimento, A. D. C.

论文摘要

我们引入了Beta广义正态分布,该分布是通过复合beta和广义的[Nadarajah,S.,一种广义的正态分布,\ EMPH {Applied Statistics杂志}而获得的。 32,685--694,2005]分布。新模型包括子模型,beta正常,beta laplace,normal和laplace分布。由于两个附加参数,新分布的形状非常灵活,特别是偏度和尾部重量。我们在时刻获得一般扩展。参数的估计通过最大似然研究。我们还为新分布提出了一个随机数生成器。在新分布后分析并建模实际的合成孔径雷达。结果在几种情况下,结果可能胜过$ \ MATHCAL {G}^0 $,$ \ MATHCAL {K} $和$γ$分布。

We introduce the beta generalized normal distribution which is obtained by compounding the beta and generalized normal [Nadarajah, S., A generalized normal distribution, \emph{Journal of Applied Statistics}. 32, 685--694, 2005] distributions. The new model includes as sub-models the beta normal, beta Laplace, normal, and Laplace distributions. The shape of the new distribution is quite flexible, specially the skewness and the tail weights, due to two additional parameters. We obtain general expansions for the moments. The estimation of the parameters is investigated by maximum likelihood. We also proposed a random number generator for the new distribution. Actual synthetic aperture radar were analyzed and modeled after the new distribution. Results could outperform the $\mathcal{G}^0$, $\mathcal{K}$, and $Γ$ distributions in several scenarios.

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