تقدير نماذج مختلطة للبيانات المصنفة مع التطبيق العملي == Estimation Mixed Models Using Catacorical Data With Application
Author name:
ايناس عبد الحافظ محمد
Supervisor name:
خالد ضاري عباس الطائي
General topic:
Administration and Economics
Specific topic:
Statistics
Degree:
Doctorate
University:
University of Baghdad - Faculty Of Administration And Economics - Department Of Statistics
Language:
Arabic
University location:
Baghdad
First pages:
07T3466 - p.pdf
Abstract:
يعتمد مفهوم التوزيعات المختلطة ( المركبة) في تطوير نماذج مناسبة للبيانات المصنفة , وقد تم في هذا البحث ايجاد بعض الانماذج الاحتمالية الملائمة لهذه البيانات ومن ثم العمل على تقدير معلمات هذه الانماذج.وبعد تشخيص اوتحديد نوعي التوزيعات وهما (التوزيع المركب | The concept of mixed distributions depends (composite) in the development of appropriate data seed models, has been in this research finding some models appropriate probability of this data and then work to estimate the parameters of this models. After diagnosis Aothdid two types of distributions, namely (compound beta - Bainomal (Beta - distribution Binomial) and the distribution of Ganerlized logarithmic Series distribution (GLSD)) has been working to estimate the parameters of these distributions methods usual such as way as possible (MLE) and the method of moments (Moment) and the method of Chi - square (Chi - squar) and methods of unconventional such as search cuckoo algorithm Hawwarzmih simulated annealing. The theoretical side included the concept of vehicle models and how to configure form by probabilistic normal function and methods different appreciation such as method Maximum Likelihood Function (MLE) and the method of moments (Mom) and a method to minimize Chi - square (Minimum) and methods of artificial intelligence techniques such as search cuckoo algorithm (Cock Search) algorithm simulated annealing (Simuannling) has been presented simulation has been adopted in the comparison between the estimation methods and we had simulated experiments at different volumes of samples( n= 20, 50, 100,250). And repeat each experiment R = 1000 to achieve the goal and were compared using statistical measurements (MSE, AMPE) found that the best method (cuck) which is proposed by the researcher. The researcher numbers Bernamjeh (Matlab, R2005 B) and put all the results in the tables either the practical side and having briefed researcher at data rates of disability and for the period of (2007 - 2010) obtained through the health center for the disabled has been the comparison between Models through criterion (AIC) the standard bayes Information (BIC) and the standard G2) the researcher found that the capabilities of the search cuckoo algorithm is better than during the experimental side, therefore this algorithm applied to real data to complement the tests of good matching, which enabled Khalalhl the researcher presented the practical application of the private tables results. It was found through statistical analysis that in the year (2011) has a lower standard Akaki for the distribution of the compound compared with the distribution chain logarithmic year, which indicates that it has the best modelFrom the conclusions that have been reached by using way (GIBS) in the simulation of mixed distribution and the method of rejection and acceptance (Reject, Accept) for distribution Genaralized logarithim Series is that the capabilities of the specimen landmarks using the best in terms possess the lowest average error boxes in sizes small samples search cuckoo algorithm is medium and large The rest of the roads were estimates varying values. It has been presented the recommendations that emerged from the thesis as well as future research
