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A Method for Computing Profile-Likelihood-Based Confidence Intervals

Journal of the Royal Statistical Society Series C (Applied Statistics)Published 1 January 1988
David Venzon, Suresh H. Moolgavkar
Citations562
SJR quartileQ2
SJR score0.65
SNIP0.78

Abstract

SUMMARY The method of constructing confidence regions based on the generalised likelihood ratio statistic is well known for parameter vectors. A similar construction of a confidence interval for a single entry of a vector can be implemented by repeatedly maximising over the other parameters. We present an algorithm for finding these confidence interval endpoints that requires less computation. It employs a modified Newton-Raphson iteration to solve a system of equations that defines the endpoints.

Keywords

Mathematics