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Probability Density Functions

[ˌprɑbəˈbɪləti ˈdɛnsəti ˈfʌŋkʃənz]
Artificial Intelligence
Last updated: December 9, 2024

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.

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