Non-linear models are of particular importance owing to their various applications in different fields. In this paper, considering D-optimal criterion, appropriate models were introduced and, based on a logistic regression model with three independent variables and dependence of information...

The skew-t family, in its univariate and multivariate versions, is a parametric family of probability distributions which is currently under intense investigation because of several appealing properties. The present paper addresses the question of the choice of its parameterization, and more...

The power function distribution is often used to study the electrical component reliability. In this paper, we model a heterogeneous population using the two-component mixture of the power function distribution. A comprehensive simulation scheme including a large number of parameter points is...

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,...

In this paper, the interference model with equal left- and right-neighbor effects is considered. We base this work on the method of Kunert and Martin (2000) to give a sufficient condition for universal optimality of circular neighbor designs. We show that some of neighbor designs by Rees (1967),...

The basic structure of algorithms for numerical computation of optimal approximate linear regression designs is briefly summarized. First order methods are contrasted to second order methods. A first order method, also called a vertex direction method, uses a local linear approximation of the...

Optimal experimental designs are considered for models with simultaneous equations. In particular, a model with two equations is assumed where one of the explanatory variables (exogenous) of the first equation is then the response variable (endogenous) of the second equation. In both equations...