پديد آورنده :
اعرابي، نيلوفر
عنوان :
آزمون هاي استوار در مدل هاي خطي تعميم يافته با پاسخ هاي گم شده
مقطع تحصيلي :
كارشناسي ارشد
گرايش تحصيلي :
آمار رياضي
محل تحصيل :
اصفهان: دانشگاه صنعتي اصفهان، دانشكده علوم رياضي
صفحه شمار :
ده،115ص.: مصور
استاد راهنما :
سروش عليمرادي
توصيفگر ها :
داده هاي گم شده , داده هاي دورافتاده , برآوردهاي استوار , سازگاري فيشر , تابع تاثير
تاريخ نمايه سازي :
1394/08/05
استاد داور :
ايرج كاظمي، ريحانه ريخته گران
تاريخ ورود اطلاعات :
1396/10/05
چكيده انگليسي :
Robust Tests in Generalized Linear Models with Missing Responses Niloufar Arabi n arabi@math iut ac ir 2015 Department of Mathematical Sciences Isfahan University of Technology Isfahan 84156 83111 Iran Supervisor Dr Soruosh Alimoradi salimora@cc iut ac ir Advisor Dr Ali Rejali a rejali@cc iut ac ir 2010 MSC 62F35 62F05 Keywords generalized linear models outliers missing data robust estimation robust testing Fisher consistency in uence function Abstract During the 20th Century statisticians have become acutely aware that common statistical proce dures are very sensitive even to slight deviations from the assumed model In regression analysis the use of the least square method would not be appropriate in solving the problem of containing outliers or extreme observations So we need a parameter estimation method which is robust where the value of the estimation is not much a ected by small changes in the data In this thesis we introduced a resistant procedure to test hypothesis on the regression parameters under a generalized linear regression model in which the mean of the responses is modelled through a link function linearly on the covariates when there are missing observations in the responses and it can be suspected that anomalous observations are present in the sample Although there are many situations in which both the response and the explanatory variables are missing in this study we will focus on those cases in which missing data occur only in the responses In practice some response variables may be missing by design as in two stage studies or by happenstance Actually missingness of responses is very common in opinion polls market research surveys mail enquiries social economic investigations medical studies and other scienti c experiments when the explanatory variables can be controlled Robust estimators for the regression parameters in order to build test statistics for these parameters when missing data occure in the responses are considered These estimators are natural extensions of the MM estimators for linear models with asymmetric errors and have an indicator for
استاد راهنما :
سروش عليمرادي
استاد داور :
ايرج كاظمي، ريحانه ريخته گران
