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Loïc Guégan 2023-10-16 12:34:15 +02:00
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source/statistics/notations.rst
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@ -15,7 +15,7 @@ A *population* is the entire population that you want to analyze. It is a exhaus
*Statistics* allows you to infers properties on a population using samples with a certain degree of confidence. *Statistics* allows you to infers properties on a population using samples with a certain degree of confidence.
Notation: Tale of Schizophrenia A Tale of Schizophrenia
================================ ================================
Two different notation conventions are used. The one to use depends if you are working on a *population* or a *sample*: Two different notation conventions are used. The one to use depends if you are working on a *population* or a *sample*:
@ -53,8 +53,8 @@ Operators
Expected value Expected value
^^^^^^^^^^^^^^^ ^^^^^^^^^^^^^^^
The expected value (*esperance*) of a random variable :math:`X` is noted :math:`\mathbb{E}[X]`. The expected value (*espérance*) of a random variable :math:`X` is noted :math:`\mathbb{E}[X]`.
It as the following linerarity properties: It as the following linearity properties:
.. math:: .. math::
\mathbb{E}[X+Y]=\mathbb{E}[X] + \mathbb{E}[Y] \mathbb{E}[X+Y]=\mathbb{E}[X] + \mathbb{E}[Y]