Classifying one-parameter Fréchet populations on the basis of a non-linear fixed effects model

Abstract

This article deals with the problem of classifying Fréchet populations by proposing a non-linear fixed effects model. Various properties of the proposed model are investigated in detail. Estimations of the effects are achieved in explicit expressions and stochastic properties of the estimators are discussed. Two procedures for testing the homogeneity of populations are proposed. Illustrative examples are also given. The proposed model is an alternative method for situations in which the existing parametric methods such as generalized linear models provide poor efficiency and factor effects are on the response non-linearly. The proposed model is also applicable in situations where the mean response does not exist.

Keywords:

• Non-linear models
• one-way classification
• fixed effects
• estimation
• Fréchet population

MATHEMATICS SUBJECT CLASSIFICATION:

• 62P30
• 62J15

Disclosure statement

The authors confirm that they have no conflict of interests.

Data availability

The authors confirm that the data supporting the findings of this study are available within the article.