diff --git a/education/statistics/random-variable.html b/education/statistics/random-variable.html index cc16221..576aca0 100644 --- a/education/statistics/random-variable.html +++ b/education/statistics/random-variable.html @@ -2,12 +2,28 @@ title: 隨機變數 (Random Variable) description: published: true -date: 2025-12-28T19:30:53.863Z +date: 2025-12-28T19:33:09.392Z tags: editor: ckeditor dateCreated: 2025-12-28T16:41:51.938Z --> +

General

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Symmetric

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If there is a point that,

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Then,

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Is the expectation of this random variable, equal to the point of symmetry.

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Median and Quantiles

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The middle value of the random variable.
For median, set p to 0.5.

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Variance

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A positive quantity that measures the spread of the distribution of the random variable about its mean value.
Larger values of the variance indicate that the distribution is more spread out.

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Discrete

Probability Mass Function (PMF)

A set of probability value pi assigned to each of the values taken by the discrete random variables xi.

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satisfying 

 

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Continuous

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Joint Cumulative

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Marginal Probability Distributions

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Contin

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uous

Probability Density Function (PDF)

Probabilistic properties of a continuous random variable.

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Symmetric

-

If there is a point that,

-
-

Then,

-
-

Is the expectation of this random variable, equal to the point of symmetry.

-

 

-

Median and Quantiles

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The middle value of the random variable.
For median, set p to 0.5.

-
-

 

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Variance

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A positive quantity that measures the spread of the distribution of the random variable about its mean value.
Larger values of the variance indicate that the distribution is more spread out.

-
-

 

Jointly Distributed

satisfying 

 

-

 

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Joint Cumulative

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Marginal Probability Distributions

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