Calculate Renyi Entropy

Calculates the Renyi entropy, a generalization of Shannon entropy parameterized by α. Different α values emphasize different aspects of the distribution: α→0 emphasizes rare events, α=1 recovers Shannon entropy, α→∞ emphasizes the most probable event. Useful for risk-sensitive information measures in finance.

Use Cases:

• Risk-sensitive portfolio uncertainty measures
• Tail risk assessment (low α emphasizes tails)
• Robust entropy estimation for noisy data
• Multi-scale information analysis
• Compare distributions with varying risk preferences

Formula: H_α(X) = (1/(1-α)) log(Σ p(x)^α)

Credits: 5 credits per request (Pro Tier)