.. _parametric_models:
Standard parametric models
--------------------------
Parametric models aim to describe probability distributions of a random
variable with the aid of a limited number of parameters
:math:`\vect{\theta}`. Therefore, in the case of continuous variables
(i.e. where all possible values are continuous), this means that the
probability density of
:math:`\vect{X} = \left( X^1,\ldots,X^{n_X} \right)` can be expressed as
:math:`f_X(\vect{x};\vect{\theta})`. In the case of discrete variables
(i.e. those which take only discrete values), their probabilities can be
described in the form :math:`\Prob{\vect{X} = \vect{x};\vect{\theta}}`.
.. topic:: API:
- See the available :ref:`parametric distributions `.
.. topic:: Examples:
- See :doc:`/examples/probabilistic_modeling/draw_1d_distribution`
- See :doc:`/examples/probabilistic_modeling/draw_2d_distribution`
- See :doc:`/examples/probabilistic_modeling/gaussian_distribution`
- See :doc:`/examples/probabilistic_modeling/2d_gaussian_distribution`
- See :doc:`/examples/probabilistic_modeling/geometric_distribution`
.. topic:: References:
- [saporta1990]_
- [dixon1983]_
- [bhattacharyya1997]_