The Mean of a Maximum Likelihood Estimator Associated with the Brownian Bridge
Fuchang Gao, University of Idaho
Abstract
A closed formula for the mean of a maximum likelihood
estimator associated with the Brownian bridge is obtained; the exact relation
with that of the Brownian motion is established.
Chevet, S. (1976),
Processus Gaussiens et volumes mixtes.
Z. Wahr. verw. 36, 47-65.
Math. Review 54:14066
Gao, F. and Vitale, R.A. (2001),
Intrinsic volumes of the Brownian motion body.
Discrete Comput. Geom. 26, 41-50.
Math. Review 2002c:65032
Tsirel'son, B.S. (1982),
A geometric approach to maximum likelihood estimation
for infinite--dimensional Gaussian location I.
Theory Prob. Appl. 27, 411--418.
Math. Review 83i:62150
Tsirel'son, B.S. (1985),
A geometric approach to maximum likelihood estimation
for infinite--dimensional Gaussian location II.
Theory Prob. Appl. 30, 820-828.
Math. Review 87i:62152
Tsirel'son, B.S. (1986),
A geometric approach to maximum likelihood estimation
for infinite--dimensional Gaussian location III.
Theory Prob. Appl. 31, 470-483.
Math. Review 88c:62140
Vitale, R.A. (1996),
The Wills functional and Gaussian processes.
Ann. Probab. 24, 2172-2178.
Math. Review 98d:60075