Length-bias: Some characterizations and applications
We study the form of the length-biased distribution of the generalized gamma and log-logistic distributions. Characterizations of the distribution functions of these length-biased forms are presented. From these characterizations, we propose a simple way to simulate data from the length-biased distributions, as well as a way to "transform" length-biased data to its corresponding unbiased form, for the Weibull and log-logistic distributions. Possible applications of the results are considered.
length-biased generalized gamma log-logistic weibull goodness-of-fit