02641cam a2200337 a 4500 EG-GiCUC 20250223032401.0 190917s2019 ua d f m 000 0 eng d EG-GiCUC eng EG-GiCUC eng Deposite M.Sc Cai01.18.03.M.Sc.2019.Am.O Amany Mohamed Shehata Elsheikh On extended burr XII distribution : Different Mmethods of estimation / Amany Mohamed Shehata Elsheikh ; Supervised Mohamed A. H.Sabry , Abdeltawab Ahmed Abdelaziz الممتدد XII عن توزيع بير : طرق مختلفة للتقدير Cairo : Amany Mohamed Shehata Elsheikh , 2019 98 Leaves : charts ; 30cm Thesis (M.Sc.) - Cairo University - Institute of Statistical Studies and Research - Department of Mathematical Statistics Estimation of the unknown parameters of a specific population or distribution is an important issue in statistics. These parameters describe an underlying physical setting in such a way that their value affects the distribution of the measured data. Different methods of estimation have been used to estimate these parameters and each method has some advantages and disadvantages. In this thesis we compare several estimation methods for the estimation of the parameters of Marshall and Olkin Extended Burr XII distribution. Namely, we have used five different estimation techniques.The methods are the maximum likelihood method, the least square method, the weighted least square method, the maximum product of spacing method and the percentiles method. Numerical study is carried out to compare the different methods and to assess the performance of the estimators through their coefficient mean, biases and root mean square errors (RMSE).The study indicated that the maximum likelihood method followed by the maximum product of spacing method dominate all other methods of estimation used in this study. Likewise it has been noticed that, least square and weighted least square techniques are both a long with percentile technique give vast root mean square errors (RMSE) regardless of the initial values of the distribution parameter Issued also as CD Estimation Extended burr XII distribution Maximum product of spacing method Abdeltawab Ahmed Abdelaziz , Supervisor Mohamed A. H.Sabry , Supervisor http://172.23.153.220/th.pdf Nazla Revisor Shimaa Cataloger ddc TH 73963 73963 ddc 0 CUCL cl210 2024-02-11 Cai01.18.03.M.Sc.2019.Am.O 01010110079347000 2023-09-22 00:00:00 TH ddc 0 CUCL cl2u8 2024-02-11 Cai01.18.03.M.Sc.2019.Am.O 01020110079347000 2023-09-22 00:00:00 79347.CD CD