Difference between revisions of "Statistics notes - on random variables, distributions, probability"

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==A few distributions==
 
==A few distributions==
  
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https://link.springer.com/chapter/10.1007/978-1-4939-6572-4_3
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===Binomial distribution===
 
===Binomial distribution===
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Basically binomial  
 
Basically binomial  
  
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====Uniform Distribution====
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Discrete[https://en.wikipedia.org/wiki/Discrete_uniform_distribution] and continuous[https://en.wikipedia.org/wiki/Uniform_distribution_(continuous)] variants are both useful
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While this one often falls away a little in 'well duh',
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it can also be seen as a more complex case of binomial.
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For example, a single fair dice throw is n cases of 1/n probability (where n is the amount of faces).
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Note that the distribution of ''combined'' dice rolls starts resembling a gaussian.
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====Exponential Distribution====
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continuous  (note that the [https://en.wikipedia.org/wiki/Geometric_distribution] is a very similar discrete distribution)
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https://en.wikipedia.org/wiki/Exponential_distribution
  
 
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Revision as of 21:53, 4 July 2020

This is more for overview of my own than for teaching or exercise.

Overview of the areas

Arithmetic · 'elementary mathematics' and similar concepts
Set theory, Category theory
Geometry and its relatives · Topology
Elementary algebra - Linear algebra - Abstract algebra
Calculus and analysis
Logic
Semi-sorted
 : Information theory · Number theory · Decision theory, game theory · Recreational mathematics · Dynamical systems · Unsorted or hard to sort


Math on data:

  • Statistics as a field
some introduction · areas of statistics
types of data · on random variables, distributions
Virtues and shortcomings of...
on sampling · probability
glossary · references, unsorted
Footnotes on various analyses

Other data analysis, data summarization, learning

Regression · Classification, clustering, decisions · dimensionality reduction · Optimization theory, control theory
Connectionism, neural nets · Evolutionary computing



This article/section is a stub — probably a pile of half-sorted notes, is not well-checked so may have incorrect bits. (Feel free to ignore, fix, or tell me)

Dependent versus independent

Random variables, distributions

Probability function(/distribution)

Probability mass function (discrete)

Probability density functions (continuous)

Cumulative distribution function

Expected value

A few distributions

Binomial distribution

Uniform Distribution

Exponential Distribution

Poisson distribution

Gaussian/Normal distribution