When modeling rare events, comparing multiple Bernoulli distributions can reveal differences in success probabilities across populations.

Gamma distributions are often used to model waiting times and rainfall amounts in environmental studies.

In the lecture, she compared several probability distributions to determine which model best fit the data.

The researchers compared the age distributions of the two cities to explain differences in healthcare usage.

Wishart distributions are commonly used to model covariance matrices in multivariate statistics and Bayesian analysis.

In multivariate statistics, the Wishart distribution is often used to model the variability of covariance matrices estimated from sample data.

To compute the solution, we first identify the paracontrolled distribution associated with d ∈ C^α and u ∈ C^α, ensuring there exists d′ ∈ C^β such that d − d′ ≺ u ∈ C^(α+β).

In radar signal processing, the Rice distribution is often used to model the envelope of a received signal when there is a dominant line-of-sight component.

Researchers often use geometric distributions to model the number of trials before the first success.

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