# Index
[[central limit theorem]]
[[Characteristic function]]
[[Jensen's inequality]]
[[expected value]]
[[standard deviation]]
[[Standard error of the mean]]
[[variance]]
## Sub-Indices
[[Probability distributions (index)]]
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# Basic Concepts
## Probability
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### Probability distributions
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([... see more](Probability%20distributions%20(index).md#Probability%20distributions))
### Interpretations of probability
%%Here talk about things like frequentist and Bayesian briefly%%
## Sample spaces
A _sample space,_ $\Omega$ is a [set](Sets.md) of all possible _outcomes_ where elements of this set are outcomes we may be interested for a particular experiment or observation.
%%Connect this to Omega from statistical physics, which is the same thing.%%
### Partitions of sample spaces
[Partitions of sets](Equivalence%20class.md#Partitions%20of%20sets)
### Events
[Subsets](Subsets.md) of [sample spaces](Statistics%20and%20Probability%20(index).md#Sample%20spaces) are referred to as _events._
## Central Limit Theorem
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# Bibliography
[Wasserman, L., _All of Statistics - A Concise Course in Statistical Inference_, Springer, 2003.](Wasserman,%20L.,%20All%20of%20Statistics%20-%20A%20Concise%20Course%20in%20Statistical%20Inference,%20Springer,%202003..md)
#MathematicalFoundations/StatisticsAndProbability/ProbabilityDistributions
#MathematicalFoundations/StatisticsAndProbability/ProbabilityDistributions/DiscreteProbabilityDistributions
#MathematicalFoundations/StatisticsAndProbability/ProbabilityDistributions/ContinuousProbabilityDistributions
#MathematicalFoundations/StatisticsAndProbability
#Bibliography
#index