Faculty Advisor or Committee Member

Thelge Buddika Peiris, Advisor

Identifier

etd-042717-140809

Abstract

Regression analyses constitutes an important part of the statistical inference and has great applications in many areas. In some applications, we strongly believe that the regression function changes monotonically with some or all of the predictor variables in a region of interest. Deriving analyses under such constraints will be an enormous task. In this work, the restricted prediction interval for the mean of the regression function is constructed when two predictors are present. I use a modified likelihood ratio test (LRT) to construct prediction intervals.

Publisher

Worcester Polytechnic Institute

Degree Name

MS

Department

Mathematical Sciences

Project Type

Thesis

Date Accepted

2017-04-27

Accessibility

Unrestricted

Subjects

Least favorable distribution, Restricted prediction interval, Chi-bar- square distribution, Likelihood ratio test

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