Distribuição de Kumaraswamy

Abstract

The present work aims to study a family of continuous probability distributions defined on the interval [0,1], which has many similarities with, simpler to use especially in simulation studies due to the closed form Beta distribution of both its functions, the probability density and cumulative distribution. This distribution was originally proposed by Kumaraswamy Ponnambalam in 1980, which was a major Hydrologists of India, and developed the function of a doubly likely limited, suitable for physical variables that are generally limited in the lower and upper ends mixed random variable. In 2009 Jones published a major article on the distribution of Kumaraswamy utlilizou where only part of the original continuous distribution. Ponnambalam showed a number of basic properties of the distribution, but made no mention of its comparison with the beta distribution, unlike Jones (2009) in his article that made enough comparisons between the two distributions, mostly showing the strengths of the distribution of Kumaraswamy . With that this work is to develop in detail the article Jones, showing in detail its mathematical functions as well as its application in hydrology. In addition to the disclosure of this distribution, which is little known among undergraduate students of the Statistics course. R software was used for the main computational results of this monograph