BURRUII اطلاع فيشر نهفته در آمارهاي تربيتي توزيع

Fisher Information in Order Statistics of Burr Type XII Distribution

Suppose that we have an iid sample of size n from a continuous probability density function (pdf) f (x,Teta) , where 0 is a real-valued parameter. When the sample is arranged in ascending order, the question "which part of the ordered sample contains more information?" is interesting. In this paper, first we recall the definition of Fisher Information (FI) and mention the density function of order statistics, recurrence relations between Fl in order statistics and FI in total sample for Burr XII. Then, we apply decomposition of Fl and use it to obtain FI in the first r order statistics in the sample of size n form this distributions.