TY - BOOK AU - Noha Usama Mohamed AU - Elsayed Ahmed Elsherpieny , AU - Hiba Zeyada Muhammed , TI - Discriminating among competitive distributions under censored samples / PY - 2016/// CY - Cairo : PB - Noha Usama Mohamed , KW - Asymptotic distribution KW - Log logistic distribution KW - Weibull distribution N1 - Thesis (Ph.D.) - Cairo University - Institute of Statistical Studies and Research - Department of Mathematical Statistics; Issued also as CD N2 - In this thesis the problem of discriminating between weibull and log logistic distribution, gamma and log logistic distribution under progressive censoring type II is considered. The maximized likelihood ratio test is used to discriminate between them. Also the problem of discriminating between gamma and log logistic under complete sample is considered. The maximized likelihood ratio test and kullback-leibler divergence is used to discriminate between them. Asymptotic distribution of the logarithm of the ratio of the maximized likelihood is obtained. These asymptotic results are used to estimate probability of correct selection, and to obtain the minimum sample size needed to discriminate between the two distribution functions. Two data sets are analyzed for illustrative purpose UR - http://172.23.153.220/th.pdf ER -