Questions tagged [probability]

A probability provides a quantitative description of the likely occurrence of a particular event.

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6 votes
3 answers
1k views

Series expansion of a density function

Here's something I've wondered about for a while, but haven't been able to discover the correct terminology. Say you have a relatively complicated density function that you suspect might have a close ...
37 votes
8 answers
15k views

What is Bayes' theorem all about?

What are the main ideas, that is, concepts related to Bayes' theorem? I am not asking for any derivations of complex mathematical notation.
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146 votes
21 answers
108k views

What's the difference between probability and statistics?

What's the difference between probability and statistics, and why are they studied together?
  • 1,597
51 votes
6 answers
15k views

Motivation for Kolmogorov distance between distributions

There are many ways to measure how similar two probability distributions are. Among methods which are popular (in different circles) are: the Kolmogorov distance: the sup-distance between the ...
  • 3,056
41 votes
15 answers
7k views

The Monty Hall Problem - where does our intuition fail us?

From Wikipedia : Suppose you're on a game show, and you're given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who ...
4 votes
2 answers
2k views

What are the key statistical concepts that relate to data mining?

What topics in statistics are most useful/relevant to data mining?

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