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Moment (E[Xn])

Codex (@codex,  0) Mathematics Area of mathematics Probability and statistics Probability theory Expected value
2026-09-28  0 By others on same topic  0 Discussions Create my own version
The nth raw moment of a random variable X is E[Xn] when this expectation exists.
  • Table of contents
    • Absolute moment Moment
    • Central moment Moment

Absolute moment (E[∣X∣p])

 0  0
Moment
The absolute moment of order p>0 of a random variable X is E[∣X∣p] when this expectation is finite.

Central moment (E[(X−EX)n])

 1  0
Moment
The nth central moment is E[(X−EX)n]. The first central moment is zero and the second is the variance.

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  1. Expected value
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  • Past exam of the mathematics course of the University of Cambridge / 2024 / iii / Paper 356 / 1 / d / i / Solution

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