Estimation and Diagnostic for a Partially Linear Regression based on an Extension of the Rice Distribution

J. C. S. Vasconcelos; E. M. M. Ortega; G. M. Cordeiro; J. S. Vasconcelos; M. A. M. Biaggioni

doi:10.57805/revstat.v22i4.500

Estimation and Diagnostic for a Partially Linear Regression based on an Extension of the Rice Distribution

Authors

J. C. S. Vasconcelos University of São Paulo https://orcid.org/0000-0001-6794-3175
E. M. M. Ortega University of São Paulo https://orcid.org/0000-0003-3999-7402
G. M. Cordeiro Federal University of Pernambuco https://orcid.org/0000-0002-3052-6551
J. S. Vasconcelos Paulista State University https://orcid.org/0000-0002-3305-0384
M. A. M. Biaggioni Paulista State University https://orcid.org/0000-0003-2853-9932

DOI:

https://doi.org/10.57805/revstat.v22i4.500

Keywords:

cubic splines, milk production, regression extensions, simulation study, wood data

Abstract

We introduce an extension of the Rice distribution and estimate its parameters by maximum likelihood. We define two regressions based on this extended distribution to model volumetric shrinkage of the wood and milk production. The performance of the parameter estimators is investigated infinite samples using Monte Carlo simulations. Also, we propose the quantile residuals for the regression models whose empirical distribution is close to normality. The usefulness of the new regressions is proved empirically through two applications to agricultural data.

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REVSTAT2024vol22n4_2

Published

2024-11-08

How to Cite

S. Vasconcelos, J. C., M. Ortega, E. M., Cordeiro, G. M., Vasconcelos, J. S., & M. Biaggioni, M. A. (2024). Estimation and Diagnostic for a Partially Linear Regression based on an Extension of the Rice Distribution. REVSTAT-Statistical Journal, 22(4), 433–454. https://doi.org/10.57805/revstat.v22i4.500