Statistical Properties of The Exponentiated Nakagami Distribution

This paper is an improvement over beta-Nakagami distribution developed by Shittu and Adepoju （2013）. Here we propose the addition of one parameter to the two parameter continuous Nakagami-m distribution （Nakagami, 1960） that was designed for modeling the fading of radio signals. The resulting distribution referred to as Exponentiated Nakagami （ENAK） distribution is a generalization of the classical Nakagami distribution. The statistical properties of the proposed distribution such as moments, moment generating function, the asymptotic behavior among others were investigated. The method of maximum likelihood is used to estimate the model parameters and the observed information matrix is derived. A real data set is used to compare the new model with the class of Nakagami distributions. Our findings showed that the Exponentiated Nakagami distribution is more flexible than beta-Nakagami distribution with better representation and less computational effort.

鲸落

一滴鲸的眼泪,就是一片大海。——题记阳光刺破仍在翻滚挣扎的云层,将暴风雨后的第一缕恩惠赐予了被鲜血浸染的海水。殷红由光之所及处四散蔓延,渐息的海风卷着浪花,在小岛的礁石上留下触目惊心的血痕。这是一场刚刚平息的战争,海的勇士用生命捍卫最后的尊严。在目光不能触及的海水之下,一座孤岛正在缓缓下沉。那是一只伤痕累累的鲸。它的腹部被利器扎穿,两鳍血肉模糊,一道极深的伤口由背鳍延至尾部。血色因它的坠落划出轨迹,一丝一缕同海洋母亲融合、消散。它巨型的身体不可抑制地下坠着……阳光不顾一切撕裂海面,却救不了那陨落的海的孩子。