Newdistns: AnRPackage for New Families of Distributions

Abstract

The contributed R package Newdistns written by the authors is introduced. This package computes the probability density function, cumulative distribution function, quantile function, random numbers and some measures of inference for nineteen families of distributions. Each family is flexible enough to encompass a large number of structures. The use of the package is illustrated using a real data set. Also robustness of random number generation is checked by simulation.

The Weibull-Gamma Distribution: Properties and Applications

“…α , where s is the scale parameter and α is the shape parameter. The results for EG, EE, and W-g were obtained using the package Newdistns, given in [23], in the statistical software R.…”

“…The third dataset also gives the failure and running times of a sample of n = 30 devices, given in [25] as: 2,10,13,23,23,28,30,65,80,88,106,143,147,173,181,212,245,247,261,266,275,293, 300, 300, 300, 300, 300, 300, 300, and 300.…”

Characterizations of the Weibull-X and Burr XII Negative Binomial Families of Distributions

“…Recently, Nadarajah and Rocha (2014) have developed the necessary code for the WXF including the density, distribution, quantile functions as well as random generation. The R package named, "Newdistns" is freely available at "http://cran.r-project.org/web/packages/Newdistns/index.html'.…”

The Kumaraswamy G Exponentiated Gumbel Type-2 Distribution

“…For a fair account of several distributions extended according to the KwG distributions readers are referred to Nadarajah and Rocha (2015). Let G(x) be the cdf of the EG type-2 distribution in Equation (1).…”