Iranian Statistical Society Journal of the Iranian Statistical Society 1726-4057 17 2 2022 07 23 On Modified Log Burr XII Distribution ON MODIFIED LOG BURR XII DISTRIBUTION 57 89 253771 10.29252/jirss.17.2.5 EN Fiaz Ahmad Bhatti G.G. Hamedani Munir Ahmad Journal Article 2022 07 23  In this paper‎, ‎we present a modified Log Burr XII (MLBXII) distribution developed on the basis of a generalized log Pearson differential equation‎. ‎This distribution is also obtained from a compounding mixture of‎ ‎distributions‎. ‎Moments‎, ‎inequality measures‎, ‎uncertainty measures and reliability measures are theoretically established‎. ‎Characterizations of MLBXII distribution are also studied via different techniques‎. ‎Parameters of MLBXII distribution are‎ ‎estimated using the maximum likelihood method‎. ‎Goodness of fit of this distribution through different methods is studied. https://jirss.irstat.ir/article_253771_037967af5fc40ad03236d7f69f6dae32.pdf