2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/212750In this paper, we derive a probability density function that generalizes the Burr XII distribution. The cumulative distribution function and the $n^{th}$ moment of the generalized distribution are obtained while the distribution of some order statistics of the distribution are established. A theorem that relate the new distribution to another statistical distribution is established.Submitted to the Electronic Journal of Statistics (http://www.i-journals.org/ejs/) by the Institute of Mathematical Statistics (http://www.imstat.org)Statistics Theory62E15 (Primary) 62E10 (Secondary)On a six-parameter generalized Burr XII distributiontext