A parametric family of M-estimators of scale based on the Rousseeuw–Croux Qn-estimator is proposed; estimator’s bias and efficiency are studied. A low-complexity one-step M-estimator is obtained allowing a considerably faster computation with greater than 80% efficiency and the highest...

In the context of nonlinear models, the analytical expression of the Fisher information matrix is essential to compute optimum designs. The Fisher information matrix of the random effects logistic regression model is proved to be equivalent to the information matrix of the linearized model,...

Consider a sample of independent and identical bivariate observations. Simple consistent confidence intervals for the variances, covariance, and correlation of the underlying population are obtained from their influence functions. They contrast with their confidence intervals obtained under the...

In this paper, we propose an extension to the first-order branching process with immigration in the presence of fixed covariates and unobservable random effects. The extension permits the possibility that individuals from the second generation of the process may contribute to the total number of...