Triangular systems for symmetric binary variables

Triangular systems for symmetric binary variables

Abstract: We introduce and study distributions of sets of binary variables that are symmetric, that is each has equally probable levels. The joint distribution of these special types of binary variables, if generated by a recursive process of linear main effects is essentially parametrized in terms of marginal correlations. This contrasts with the log-linear formulation of joint probabilities i...

Partial Identification in Triangular Systems of Equations with Binary Dependent Variables

This paper studies models for binary outcome variables that contain a binary endogenous regressor. More specifically, we consider a nonparametric, triangular system of equations with binary dependent variables. The main assumption we impose is a weak separability condition on each equation, or, equivalently, a threshold crossing model on each equation. In this setting, we construct upper and lo...

To “ Partial Identification in Triangular Systems of Equations with Binary Dependent Variables

Models of helically symmetric binary systems

Results from helically symmetric scalar field models and first results from a convergent helically symmetric binary neutron star code are reported here; these are models stationary in the rotating frame of a source with constant angular velocity Ω. In the scalar field models and the neutron star code, helical symmetry leads to a system of mixed elliptic-hyperbolic character. The scalar field mo...

Simultaneous Equation Systems Involving Binary Choice Variables