Comparisons of experimental variance often rely on F distributions to determine whether observed differences are significant.

In the lecture, we compared several hypergeometric distributions to model different sampling scenarios without replacement.

The researcher compared the marginal distributions of income and education before fitting the joint model.

Economists often use Pareto distributions to model income inequality and wealth concentration.

The manager evaluated several channels of distribution before selecting the most cost-effective option.

In many phonological analyses, complementary distributions of sounds indicate that the variants are allophones of the same phoneme.

The researchers compared several stationary distributions to determine which one best described the long-term behavior of the Markov chain.

To reach customers in different regions, the company diversified its distribution channels.

When the sample size is small and the population standard deviation is unknown, we use the Student's t distribution to perform inference.

In molecular simulations, the radial distribution function is calculated to determine how the average particle density varies with distance from a reference atom.