LINEAR REGRESSION MODEL ESTİMATİON FOR RIGHT CENSORED DATA

Yıl 2016, Cilt: 0 Sayı: 0, 21 - 22, 26.05.2016

Ersin Yılmaz , Dursun Aydın

Öz

In this study, firstly we will define a right censored data. If we say shortly right-censored data is censoring values that above the exact line. This may be related with scaling device. And then  we will use response variable acquainted from right-censored explanatory variables. Then the linear regression model will be estimated. For censored data’s existence, Kaplan-Meier weights will be used for  the estimation of the model. With the weights regression model  will be consistent and unbiased with that.   And also there is a method for the censored data that is a semi parametric regression and this method also give  useful results  for censored data too. This study also might be useful for the health studies because of the censored data used in medical issues generally.

Kaynakça

• AYDIN, D., Estimations And Inferences In Semi parametric Regression Modelling Using Smoothing Spline Approach, Anadolu Üniversitesi İstatistik Bölümü(2005)
• CHEN S., KHAN S., Semi parametric Estimation Of a Partially Linear Model, Econometric Theory, 567-590(2001)
• ENGLE, R. F., GRANGER, C. W., RICE, J., WEISS A., Semi parametric Estimates Of The Relation Between Weather and Electricity Sales, Journal Of The American Statistical Association, 310-320(1986)
• HARDLE, W., LIANG, H., Large Sample Theory Of The Estimation Of The Error Distribution For Parameters In a Semi Parametric Regression Models, Communications In Statistics, Theory And Methods(1999)
• KOUL, H., SUSARLA, V., VAN RYZIN, J., Regression Analysis With Randomly Right-Censored Data, Journal Of The Annals Of Statistics , 1276-1285(1981)
• LAI, T. L., And YING, Z. L., Asymptotically Efficient Estimation In Censored And Truncated Regression Models, Statistica Sinica, 2, 17-46(1992)
• MILLER, R., HALPERN, J. Regression With Censored Data, Biometrika, 521-531(2011)
• SHICK, A., On Asymptotically Efficient Estimation In Semi parametric Model, Annals In Statistics, 14, 1139-1151(1986)