Öz
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.
Anahtar Kelimeler
Lineer Model Bootstrap Dengeli Güven Bölgesi Yarı Uzay Derinliği
Kaynakça
- 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.
Öz
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.
Anahtar Kelimeler
Linear Model Bootstrap Balanced Confidence Region Half Space Depth
Kaynakça
- 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.
Ayrıntılar
| Birincil Dil | Türkçe |
|---|---|
| Konular | İstatistik |
| Bölüm | Araştırma Makaleleri |
| Yazarlar | |
| Yayımlanma Tarihi | 15 Aralık 2003 |
| Yayımlandığı Sayı | Yıl 2003 Cilt: 2 Sayı: 3 |
