Abstract:
Statisticians are often confronted with the estimation of unknown parameters. This process of estimation, by far, is not unique. The purpose of this thesis is to examine various methods to estimate the radius of a circle when observing n data points that are assumed to lie on a semicircle but are measured with error. The estimators mentioned in this paper involve the use of the circumscribed circle, the radius of curvature, and a residual approach. Computer simulations are used in the evaluation of the estimators. A representative listing of the simulations are provided.
