Genre
- Journal Article
We consider two types of two-region image models with a univariate boundary representation and independent lattice observations. A non-parametric histogram-like contour estimator with an increasing number of subintervals is studied when also the number of observations tends to infinity, and the difference between the region grey level distributions tends to zero. The asymptotic distribution is expressed in terms of locations of maxima of two-sided Brownian motions with negative drift, in particular triangular drift and a mixture of triangular and parabolic drift. Examples with simulated and real data are provided to illustrate the results.
RUDEMO, M, ROYAL VET & AGR UNIV,DEPT MATH & PHYS,THORVALDENSVEJ 40,DK-1871 COPENHAGEN,DENMARK.
OXFORD; 108 COWLEY RD, OXFORD, OXON, ENGLAND OX4 1JF
BLACKWELL PUBL LTD
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Source type: Electronic(1)
Language
- English
Subjects
- BROWNIAN MOTION WITH TRIANGULAR DRIFT
- SEQUENCE
- BROWNIAN MOTION WITH PARABOLIC DRIFT
- maximum likelihood
- CHANGE POINT
- DRIFT
- IMAGE SEGMENTATION
- NONPARAMETRIC CURVE ESTIMATION
- MAXIMA OF RANDOM WALKS
- Statistics & Probability
- RANDOM-VARIABLES
- STAR-SHAPED CONTOUR
- CHANGE-POINT