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单词 DiscreteDensityFunction
释义

discrete density function


Let X be a discrete random variable. The functionMathworldPlanetmath fX:[0,1] defined as fX(x)=P[X=x] is called the discrete probability function of X. Sometimes the syntax pX(x) is used, to mark the differencePlanetmathPlanetmath between this function and the continuous density function.

If X has discrete density function fX(x), it is said that the random variable X has the distributionDlmfPlanetmathPlanetmath or is distributed fX(x), and this fact is denoted as XfX(x).

Discrete density functions are required to satisfy the following properties:

  • fX(x)0 for all x

  • xfX(x)=1

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