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Inferential studies for a flexible linear regression model for interval-valued variables. (English) Zbl 1341.62208

Summary: Inferential studies for the regression coefficients of a linear model for interval-valued random variables are addressed. Confidence sets and hypothesis tests are investigated and solved through asymptotic and bootstrap techniques. The inferences are based on the least-squares estimators of the model which have been shown to be coherent with the interval arithmetic defining the model and to verify good statistical properties. Theoretical results assure the validity of the procedures. Moreover, some simulation studies and examples are considered to show the empirical behaviour and the practical applicability of the inferences.

MSC:

62J05 Linear regression; mixed models

Software:

SODAS
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