The Estimation of Parameters in Regression Functions Subject to Certain Restraints

Authors

Paul D. Minton, Southern Methodist University
Alfred E. Crofts Jr., Southern Methodist University

Abstract

We consider two types of problems in maximum likelihood estimation of parameters of linear functions subject to certain restraints. One is a family of lines with equal slopes or intercepts; the other is a pair of lines constrained to meet at a predetermined point. In the case of normally distributed errors with equal variances within each set, the solutions are identical with least squares solutions. In addition to linear functions, non-linear functions which are transformable to linearity may be treated under these methods.

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Recommended Citation

Minton, Paul D. and Crofts, Alfred E. Jr. (1961) "The Estimation of Parameters in Regression Functions Subject to Certain Restraints," Journal of the Graduate Research Center: Vol. 29: No. 1, Article 2.
Available at: https://scholar.smu.edu/journal_grc/vol29/iss1/2