On a six-parameter generalized Burr XII distribution

Mathematics – Statistics Theory

Scientific paper

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Submitted to the Electronic Journal of Statistics (http://www.i-journals.org/ejs/) by the Institute of Mathematical Statistics

Scientific paper

In 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.

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