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A probability density function is a mathematical function that describes the proability of each member of a discrete set or a continuous range of outcomes or possile values of a variable. Common examples of probability density functions are lognormal, normal(Gaussian) exponentail, and pareto.
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ÇóÖúÐ޸ģºExpected value is mathematically defined as the integral of a random variable with its probability measure. These are theoretical terms. Their experimental counterparts are the mean or average value that is calculated as the probability-weighted sum of sample values.

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