Definition
Mathematical functions that describe the relative likelihood of continuous random variables taking on specific values.
Detailed Explanation
PDFs are functions that describe the relative likelihood of a continuous random variable falling within a particular range of values. The integral of a PDF over an interval gives the probability of the random variable falling within that interval. PDFs must be non-negative everywhere and integrate to 1 over their entire domain.
Use Cases
Signal processing, statistical modeling, machine learning algorithms, scientific data analysis, and risk modeling.