Faculty Advisor or Committee Member

Thelge Buddika Peiris, Advisor

Identifier

etd-042618-161039

Abstract

As we know the most popular inference methods for order restricted model are likelihood inference. In such models, the Maximum Likelihood Estimation (MLE) and Likelihood Ratio Testing (LRT) appear some suspect behaviour and unsatisfactory. In this thesis, I review the articles that focused in the behaviour of the Likelihood methods on Order restricted models. For those situations, an alternative method is preferred. However, likelihood inference is satisfactory for simple order cone restriction. But it is unsatisfactory when the restrictions are of the tree order, umbrella order, star-shaped and stochastic order types.

Publisher

Worcester Polytechnic Institute

Degree Name

MS

Department

Mathematical Sciences

Project Type

Thesis

Date Accepted

2018-04-26

Accessibility

Unrestricted

Subjects

Stochastic Order., Simple Order, Tree Order, Convex cones, Projection, Likelihood Methodology, Cone order, Cone Order Monotonicity, Reversal, Preservation

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