Notation
========

The following table summarizes the notation in order of their appearance.

.. csv-table:: Table of Notation
   :header: "Symbol", "Explanation"
   :widths: 30, 70


   ":math:`s_t`", "state space at time :math:`t`"
   ":math:`s_t`", "state space at time :math:`t`"
   ":math:`\mathcal{S}_t`", "set of admissible states at time :math:`t`"
   ":math:`a_t`", "chosen alternative at time :math:`t`"
   ":math:`\mathcal{A}`", "set of feasible alternatives"
   ":math:`\pi`", "particular policy"
   ":math:`\Pi`", "set of implementable policies"
   ":math:`a_t^{\pi}(\cdot)`", "state-dependent decision rule under :math:`\pi`"
   ":math:`p_t(\cdot)`", "transition probability distribution for state :math:`s_{t+1}`"
   ":math:`\mathbb{E}_{p}[\cdot]`", "expectation under probability measure p"
   ":math:`\mathcal{J}`", "set of types"
   ":math:`e_{j,a}`", "skill endowment of type j in alternative a"
   ":math:`h_t`", "years of completed schooling at :math:`t`"
   ":math:`\bf{k}_{t}`", "vector of work-experience at :math:`t`"
   ":math:`\bf{\epsilon}`", "vector of productivity shocks"
   ":math:`r_a`", "market equilibrium rental price in alternative a"
   ":math:`x_a(\cdot)`", "occupation-specific skill level"
   ":math:`\Gamma_a(\cdot)`", "deterministic component of occupation-specific skill level"
   ":math:`\bar{u}_a`", "observable part per-period utility"
   ":math:`\bar{s}_t`", "observable part state-space"
   ":math:`\mathcal{D}`", "data structure"
   ":math:`M_D`", "moments of observed data"
   ":math:`M_S(\theta)`", "moments of simulated data under :math:`\theta`"