A Look at the Burr and Related Distributions

Summary The Burr distribution (Burr type XII), which yields a wide range of values of skewness and kurtosis, can be used to fit almost any given set of unimodal data. The Burr distribution has appeared in the literature under different names. The relationship between the Burr distribution and the various other distributions, namely, the Lomax, the Compound Weibull, the Weibull-Exponential, the logistic, the log logistic, the Weibull and the Kappa family of distributions is summarized. Also it is shown that the 'reciprocal Burr' distribution (Burr type III) covers a wider region in the (V,f fi2) plane and includes all the region covered by the Burr type XII distribution.