The Strong Consistency for the Estimators of Longitudinal Data in Semiparametric Regression Model with ρ ̃-Mixing Errors
DOI:
https://doi.org/10.54097/hset.v31i.5151Keywords:
ρ ̃-mixing random variables, semiparametric regression model, longitudinal data, Strong consistency, convergence rate.Abstract
Consider the following semiparametric regression model for longitudinal data with - mixing errors: , where, the response variable and the covariate vector taken from the -th subject at time , is the - mixing random variables, We establish a strong consistency for the least squares estimator of the parametric and the estimator of the non-parametric function under some mild conditions.
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