Lineer Modellerde Yarı Uzay Derinliğine Dayalı Dengeli Bootstrap Güven Bölgeleri
                                    
                                 
                                
                                    
                                                                                                                                                                                                                        Year 2003,
                                                                                        Volume: 2 Issue: 3,                                                                                                                 63 - 72,                                     15.12.2003                                
                                
                                                                                                                        
                                                                                                                                                
                                                        İhsan Karabulut
                                                                                                                    
                                                                                                            
                                                
                                                                                                    ,
                                                
                                                                                                                                
                                                                                                                                                
                                                        Fikri Öztürk
                                                                                                                
                                                                                                                                                                                                                                            
                                
                                
                                                                    
                                        Abstract
                                        Bir lineer modelde parametrelere ilişkin güven bölgelerinin oluşturulmasında son yıllarda uygulaması yaygınlaşmaya başlayan derinlik kavramı kullanılarak dengeli bootstrap güven bölgelerinin nasıl oluşturulabileceği bir uygulama ile gösterilmiştir.
                                     
                                
                                                                                                    
                                
                                                                
                                                                
                                
                                                                
                                                                    
                                        References
                                        
                                            
                                                                                                    - 
                                                        DONOHO. L. DAVID and GASKO, M. (1992). Estimates Based on Halfspace Depth and Projected Outlyingness. Ann. Statist., Vol. 20, No. 4, 1803-1827.
- 
                                                        EFRON, B. ( 1982). The Jackknife, the Bootstrap and Other Resampling Plans. SIAM, Philadelphia,PA, U.S.A
- 
                                                        GRAYBILL, F. A. (1976). Theory and Application of the Linear Model. Duxbury Press, North Scituate , Mass., U.S.A.
- 
                                                        HALL, P. (1992). The Bootstrap and Edgeworth Expansion. Springer-Verlag, New York. U.S.A..
- 
                                                        LEHMANN, E. L. (1999). Elements of Large-Sample Theory. Springer-Verlag, New York, U.SA.
- 
                                                        LIU, R. Y. (1990), on a Notion of Data Depth Based on Random Simplicies. Ann. Statis Vol. 18, No. 1,405-414.
- 
                                                        LIU, REGINA Y., PARELIUS, JESSE M. and SINGH, K. (1999). Multivariate Analysis by Data Depth: Descriptive Statistics, Graphies and Inference. Ann. Statist., Vol. 27, No. 3, 783-858.
- 
                                                        QUMSIYEH, MAHER B. (1994). Bootsrapping and Empirical Edgeworth Expansions in Multiple Lineer Regression Models. Commumications in Statistics: Theory and Methods, 23(11), 3227-3239.
- 
                                                        ROUSSEEUW, PETER J. and RUTS, I. (1996). Bivariate Location Depth. Appl. Statis. Vol. 45, No:4, 516-526.
- 
                                                        ROUSSEEUW, PETER J. and RUTS, I. (1999). The Depth Function of a Population Distribution. Metrika, 9, 213-244.
- 
                                                        YEH, ARTHUR B. and SINGH, K. (1997). Balanced Confidence Regions Based on Tukey's Depth and the Bootstrap. J. R. Statist. Soc. B, Vol. 59, No.3, 639-652.
- 
                                                        ZUO, Y. and SERFLING, R. (2000). Structural Properties and Convergence Results for Contours of Sample Statistical Depth Functions. Ann . Statist., Vol. 28, No. 2, 483-499.
 
                                     
                                                             
                                                                                
                                
                                    
                                    
                                                                                Balanced Bootstrap Confidence Regions in Lineer Models Based on Half Space Depth
                                    
                                 
                                
                                    
                                                                                                                                                                                                                        Year 2003,
                                                                                        Volume: 2 Issue: 3,                                                                                                                 63 - 72,                                     15.12.2003                                
                                
                                                                                                                        
                                                                                                                                                
                                                        İhsan Karabulut
                                                                                                                    
                                                                                                            
                                                
                                                                                                    ,
                                                
                                                                                                                                
                                                                                                                                                
                                                        Fikri Öztürk
                                                                                                                
                                                                                                                                                                                                                                            
                                
                                
                                                                    
                                        Abstract
                                        A balanced bootstrap confidence region has been studied and examplified for a linear model parameters by data depth a Notion which have become increasingly used in multivariate data analysis in recent years.
                                     
                                
                                                                                                    
                                
                                                                
                                                                
                                
                                                                
                                                                    
                                        References
                                        
                                            
                                                                                                    - 
                                                        DONOHO. L. DAVID and GASKO, M. (1992). Estimates Based on Halfspace Depth and Projected Outlyingness. Ann. Statist., Vol. 20, No. 4, 1803-1827.
- 
                                                        EFRON, B. ( 1982). The Jackknife, the Bootstrap and Other Resampling Plans. SIAM, Philadelphia,PA, U.S.A
- 
                                                        GRAYBILL, F. A. (1976). Theory and Application of the Linear Model. Duxbury Press, North Scituate , Mass., U.S.A.
- 
                                                        HALL, P. (1992). The Bootstrap and Edgeworth Expansion. Springer-Verlag, New York. U.S.A..
- 
                                                        LEHMANN, E. L. (1999). Elements of Large-Sample Theory. Springer-Verlag, New York, U.SA.
- 
                                                        LIU, R. Y. (1990), on a Notion of Data Depth Based on Random Simplicies. Ann. Statis Vol. 18, No. 1,405-414.
- 
                                                        LIU, REGINA Y., PARELIUS, JESSE M. and SINGH, K. (1999). Multivariate Analysis by Data Depth: Descriptive Statistics, Graphies and Inference. Ann. Statist., Vol. 27, No. 3, 783-858.
- 
                                                        QUMSIYEH, MAHER B. (1994). Bootsrapping and Empirical Edgeworth Expansions in Multiple Lineer Regression Models. Commumications in Statistics: Theory and Methods, 23(11), 3227-3239.
- 
                                                        ROUSSEEUW, PETER J. and RUTS, I. (1996). Bivariate Location Depth. Appl. Statis. Vol. 45, No:4, 516-526.
- 
                                                        ROUSSEEUW, PETER J. and RUTS, I. (1999). The Depth Function of a Population Distribution. Metrika, 9, 213-244.
- 
                                                        YEH, ARTHUR B. and SINGH, K. (1997). Balanced Confidence Regions Based on Tukey's Depth and the Bootstrap. J. R. Statist. Soc. B, Vol. 59, No.3, 639-652.
- 
                                                        ZUO, Y. and SERFLING, R. (2000). Structural Properties and Convergence Results for Contours of Sample Statistical Depth Functions. Ann . Statist., Vol. 28, No. 2, 483-499.