artículo
Inference in a linear functional relationship with replications
Fecha
2021Registro en:
10.1214/21-BJPS498
01030752
SCOPUS_ID:85111675659
Autor
Hokama J.
Morettin P.
Bolfarine H.
Galea M.
Institución
Resumen
© Brazilian Statistical Association, 2021.In this paper, we consider a model for data analysis with measurement errors. The main objective of this work is to develop statistical inference tools, such as parameter estimation and hypothesis tests in a linear functional relationship with replicated observations. For this purpose, we use the maximum likelihood method in the presence of incidental parameters, and the unbiased estimating equations approach. Both approaches lead to explicit expressions for the asymptotic covariance matrices of the estimators of the model parameters. A simulation study is performed to assess the empirical behavior of estimators and of a Wald statistic. The methodology is illustrated with a real data set.