symmetric distribution

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The random variable X has a symmetric distribution if and only if there is a number c such that

P(X < ck)=P(X > c+k),    for all k.

In this case the distribution is symmetric about c. If X has a symmetric distribution and expectation μ, then c=μ. A distribution that is not symmetric is called an asymmetric distribution.

Subjects: Economics — Probability and Statistics.

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