a uniform distribution

USAGE SUMMARY

The phrase "a uniform distribution" is correct and usable in written English.
It is generally used in mathematics to refer to a frequency distribution in which all outcomes are equally likely. For example, if you toss a fair coin 10 times, you would expect to get 5 heads and 5 tails in a uniform distribution.

✓ Grammatically correct

Science

Academia

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

The MSs are arbitrarily distributed following a uniform distribution.

EURASIP Journal on Wireless Communications and Networking

The positions of the settlements are randomly distributed using a uniform distribution.

Plosone

Generated from a uniform distribution.

Yale University

assuming a uniform distribution of an ant's positions.

Nature

EDS mapping reveals a uniform distribution of fluorine in the LNF15 particle, along with other elements.

Nature

By maximizing this term the algorithm achieves a uniform distribution of points on all related surfaces.

Nature

Lower SD indicates a uniform distribution of dCas9-GFP in the nucleus.

Nature

The scission process seems random, which suggests a uniform distribution of tension along the backbone.

Nature

A uniform distribution, where there's a uniform probability over interval, over the parameter space.

Cornell University

We chose the following: an x4 curve, followed by a uniform distribution, then another x4 curve.

Stanford University

Among the European-American population, there is a uniform distribution across the United States.

Stanford University

Expert writing Tips

Best practice

When describing data, specify the range over which the "a uniform distribution" applies to provide context. For example, state it's "a uniform distribution between 0 and 1".

Common error

Ensure you're not simply stating something is random when you specifically mean it follows "a uniform distribution". Randomness doesn't inherently imply equal probability for all outcomes.

Linguistic Context

The phrase "a uniform distribution" functions as a noun phrase, typically serving as the subject or object of a sentence. It's used to describe a specific type of probability distribution. Ludwig AI affirms its correct usage.

Expression frequency: Very common

Frequent in

Science

65%

Academia

25%

Encyclopedias

5%

Less common in

Formal & Business

2%

News & Media

2%

Reference

1%

Ludwig's WRAP-UP

In summary, "a uniform distribution" is a noun phrase that describes a probability distribution where all outcomes are equally likely. It is grammatically correct and very commonly used, primarily in scientific and academic contexts. Ludwig AI confirms its accuracy. When writing, specifying the range is crucial for clarity, and it's important not to confuse general randomness with this specific type of distribution. Related phrases include "a uniform allocation" and "an even distribution". The phrase is most often found in the authoritative sources as Nature and PlosOne.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

an even distribution

Uses "even" as a synonym for "uniform", emphasizing the equality of the distribution.

a uniform allocation

Replaces "distribution" with "allocation", focusing on the even assignment of resources or items.

a homogeneous distribution

Replaces "uniform" with "homogeneous", indicating that the composition or characteristics are consistent throughout.

a uniform diffusion

Emphasizes the spreading or dispersion of something evenly across an area.

consistent distribution

This emphasizes the regularity and predictability of the distribution pattern.

equal probability distribution

Specifies that each outcome has the same chance of occurring.

a uniform partitioning

Focuses on dividing something into equal parts or sections.

a uniform spreading

Highlights the even dispersal of something over a surface or area.

a uniform spread

Similar to "spreading", emphasizes the evenness of dispersal.

a standard distribution

Refers to a distribution that follows a recognized or typical pattern, implying uniformity in the deviations.

FAQs

How is "a uniform distribution" used in statistics?

In statistics, "a uniform distribution" models situations where all outcomes within a given range are equally likely. It's often used as a baseline or null hypothesis to compare against other distributions.

What is the difference between "a uniform distribution" and a normal distribution?

"A uniform distribution" implies that all values within a range are equally probable, while a normal distribution has a bell-shaped curve, meaning values near the average are more probable. They are fundamentally different distribution types.

How can I simulate data from "a uniform distribution"?

Most programming languages and statistical software packages have functions to generate random numbers from "a uniform distribution". For example, in Python, you can use the random.uniform() function.

What are some real-world examples of "a uniform distribution"?

A simple example is rolling a fair die; each number has an equal chance of appearing. Another is randomly selecting a number from a predefined range where each number has an equal chance of selection.