equation_classes: Equation classes
In markets: Estimation Methods for Markets in Equilibrium and Disequilibrium

equation_classes

R Documentation

Equation classes

Description

Classes with data and functionality describing equations of model systems.

Details

`equation_base`

Equation base class

`equation_basic`

Basic disequilibrium model equation class

`equation_deterministic_adjustment`

Deterministic adjustment disequilibrium model equation class

`equation_directional`

Directional disequilibrium model equation class

`equation_stochastic_adjustment`

Stochastic adjustment disequilibrium model equation class

Slots

formula: The equation formula using prefixed variables.
name: The name of the equation.
variable_prefix: A prefix string for the variables of the equation.
dependent_vector: The vector of the response.
independent_matrix: A model data matrix with columns corresponding to the set of independent variables.
price_vector: The vector of prices.
control_matrix: A model data matrix with columns corresponding to the set of independent variables without prices.
alpha_beta: A vector of right hand side coefficients.
alpha: The price coefficient.
beta: A vector of right hand side coefficient without the price coefficient.
var: The variance of the equation's shock.
sigma: The standard deviation of the equation's shock.
h: h_{x} = \frac{x - \mathrm{E} x}{\sqrt{\mathrm{Var} x}}
z: z_{xy} = \frac{h_{x} - \rho_{xy}h_{y}}{\sqrt{1 - \rho_{xy}^2}}
psi: \psi_{x} = \phi(h_{x})
Psi: \Psi_{x} = 1 - \Phi(z_{xy})
mu_Q: \mu_{Q} = \mathrm{E}Q
var_Q: V_{Q} = \mathrm{Var}Q
sigma_Q: \sigma_{Q} = \sqrt{\mathrm{Var}Q}
rho_QP: \rho_{Q} = \frac{\mathrm{Cov}(Q,P)}{\sqrt{\mathrm{Var}Q\mathrm{Var}P}}
rho_1QP: \rho_{1,QP} = \frac{1}{\sqrt{1 - \rho_{QP}}}
rho_2QP: \rho_{2,QP} = \rho_{QP}\rho_{1,QP}
sigma_QP: \sigma_{QP} = \mathrm{Cov}(Q,P)
h_Q: As in slot h
z_PQ: As in slot z
z_QP: As in slot z
separation_subset: A vector of indicators specifying the observations of the sample described by this equation according to the separation rule of the model.