uniform distribution vs uniform distributions

Both 'uniform distribution' and 'uniform distributions' are correct, but they are used in different contexts. 'Uniform distribution' is used when referring to a single distribution that is uniform, while 'uniform distributions' is used when talking about multiple distributions that are uniform.

Last updated: March 15, 2024 • 803 views

This phrase is correct and commonly used when referring to a single distribution that is uniform.

"uniform distribution"

This phrase is used when describing a distribution where all outcomes are equally likely. It is singular and refers to one specific distribution.

Examples:

The uniform distribution has a constant probability over a specified range.

Show examples from the web [+]

In probability theory and statistics, the continuous uniform distribution or rectangular distribution is a family of symmetric probability distributions such that for ...
In probability theory and statistics, the discrete uniform distribution is a symmetric probability distribution whereby a finite number of values are equally likely to ...
Uniform distribution may refer to: ... This disambiguation page lists articles associated with the title Uniform distribution. If an internal link led you here, you may ...
A uniform distribution, sometimes also known as a rectangular distribution, is a ... distribution function for a continuous uniform distribution on the interval [a,b] ...

Alternatives:

normal distribution
exponential distribution
binomial distribution
Poisson distribution
Gaussian distribution

This phrase is correct and used when referring to multiple distributions that are uniform.

"uniform distributions"

This phrase is used when discussing multiple distributions that exhibit uniformity. It is plural and indicates more than one distribution.

Examples:

The study compared the characteristics of different uniform distributions.

Show examples from the web [+]

The sum of two independent, equally distributed, uniform distributions yields a symmetric triangular distribution. The distance between two i.i.d. uniform random ...
Simulating a Normal Process from Sums of Uniform Distributions. Jim Gerdy. Impact of Sample Size on Approximating the Uniform Distribution. Paul Savory ...
Because there are an infinite number of possible constants a and b, there are an infinite number of possible uniform distributions. That's why this page is called ...
Like all uniform distributions, the discrete uniform distribution on a finite set is characterized by the property of constant density on the set. Another property that ...

Alternatives:

normal distributions
exponential distributions
binomial distributions
Poisson distributions
Gaussian distributions

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uniform distribution vs uniform distributions