اختيار افضل طريقة لتقدير معلمات توزيع كابا الاحتمالي مع تطبيق عملي

Choose the Best Method for Estimation the Parameters of Probability Kappa Distribution With practical application

      Kappa distribution is considered one of the continouse distribution , whch is stuided the random behaivor for the important phenomenies for life and sciences . This distribution has developed by Hosking and other sientists . This distribution studies some natural phenomenonies such as falling rain and changing of the wether . This distribution is used for studying the discver of modren phenomenonies such as salor winds and plasma properties and other phenomenones  from these points come the important of this distribution . There are more than one way and we  will study in this thises search his furmela that cesuult from mix the distribution of Gamma and distribution of normal log ,by which we study the natural phenomenones . The searcher drived properties of distribution and use five mwthods for estimate the three parameters () of kappa disteribution after completed the math formela to get the final formula of these methods . These method are maximum liktihood ,L- moment . and for choosing the best one amony these method to estimate the three parameter of distribution . We use simulation to choose which method is bestof the paramters of distribution . We use test for ten groups of assuming data and five volums of samples    ( 150 , 100 , 75 , 50 , 25 ) . The results were good to showed the best method which was LQ-moment sample , sizes . There for we use this method in oral side , which study phenomenon of rain fall on Baghdad city and we use oral data by main obsevation station of Baghdad city . We get these data from the central statistics .