Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In probability theory, a probability density function of a continuous random variable is a function that describes the relative likelihood for this random variable to occur at a given point in the observation space. The probability of a random variable falling within a given set is given by the integral of its density over the set. On rare occasions the term "probability distribution function" is used to denote the probability density function. However special care should be taken around this term, since in other sources the "probability distribution function" may refer to either the probability distribution function, or the cumulative distribution function, or may be a probability mass function rather than a density.
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