Lineer Modellerde Yarı Uzay Derinliğine Dayalı Dengeli Bootstrap Güven Bölgeleri

Yıl 2003, Cilt: 2 Sayı: 3, 63 - 72, 15.12.2003

İhsan Karabulut Fikri Öztürk

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

Balanced Bootstrap Confidence Regions in Lineer Models Based on Half Space Depth

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

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• 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.
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• 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.