Beta Generalized Normal Distribution with an Application for SAR Image Processing

Autor:	Cintra, R. J., Rêgo, L. C., Cordeiro, G. M., Nascimento, A. D. C.
Rok vydání:	2022
Předmět:	Mathematics - Statistics Theory Electrical Engineering and Systems Science - Image and Video Processing Mathematics - Probability Physics - Data Analysis Statistics and Probability
Zdroj:	A Journal of Theoretical and Applied Statistics, vol. 48, no. 2, 2014
Druh dokumentu:	Working Paper
DOI:	10.1080/02331888.2012.748776
Popis:	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 $\Gamma$ distributions in several scenarios. Comment: 17 pages, 2 tables, 6 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2206.01357 Zobrazit plný text záznamu View this record from Arxiv