Extremal properties of principal curves in the plane

Annals of Statistics

Volumn 24, Issue 4, 1996, Pages 1511-1520

  Duchamp, Tom ^a   Stuetzle, Werner ^a  

^a UNIVERSITY OF WASHINGTON   (United States)

Author keywords

Calculus of variations; Curve fitting; Least squares; Nonlinear regression; Principal curves

Indexed keywords

EID: 0030371910     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/aos/1032298280     Document Type: Article

References (4)

1. DUCHAMP, T. and STUETZLE, W. (1993). The geometry of principal curves in the plane. Report TR 250, Dept. Statistics, Univ. Washington. Revised August 1995. Available through http://www.stat.washington.edu:80/tech.reports/
2. DUCHAMP, T. AND STUETZLE, W. (1996). Geometric properties of principal curves in the plane. In Robust Statistics, Data Analysis, and Computer Intensive Methods (Helmut Rieder, ed.) Springer Lecture Notes in Statistics 109 135-152.
3. HASTIE, T. J. (1984). Principal curves and surfaces. Ph.D. dissertation, Stanford Univ.
4. HASTIE, T. J. and STUETZLE, W. (1989). Principal curves. J. Amer. Statist. Assoc. 84 502-516.