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arXiv · 1311.3753

Easy estimation by a new parameterization for the three-parameter lognormal distribution

Yoshio Komori·Hideo Hirose
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Abstract

A new parameterization and algorithm are proposed for seeking the primary relative maximum of the likelihood function in the three-parameter lognormal distribution. The parameterization yields the dimension reduction of the three-parameter estimation problem to a two-parameter estimation problem on the basis of an extended lognormal distribution. The algorithm provides the way of seeking the profile of an object function in the two-parameter estimation problem. It is simple and numerically stable because it is constructed on the basis of the bisection method. The profile clearly and easily shows whether a primary relative maximum exists or not, and also gives a primary relative maximum certainly if it exists.

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Yoshio Komori, Hideo Hirose. 2013-11-15. Easy estimation by a new parameterization for the three-parameter lognormal distribution. https://doi.org/10.1080/0094965031000104341

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