uniform distribution

USAGE SUMMARY

The phrase "uniform distribution" is correct and usable in written English.
You can use this phrase when discussing topics such as probability and statistics. For example, "In a uniform distribution, each outcome is equally likely to occur."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

This gives a uniform distribution.

EURASIP Journal on Advances in Signal Processing

RANDOM: in the Uniform distribution.

Human-centric Computing and Information Sciences

We use a uniform distribution.

EURASIP Journal on Wireless Communications and Networking

But a uniform distribution over $X$ entails a non-uniform distribution over $Y$.

SEP

According to the uniform distribution, we have.

EURASIP Journal on Advances in Signal Processing

Microstructures reveal uniform distribution of coating materials.

Materials Today: Proceedings

(2) Random VR complexes (uniform distribution) [165].

EPJ Data Science

Table 1 shows uniform distribution for parameters.

Journal of Industrial Engineering International

b The phase obeys the uniform distribution.

EURASIP Journal on Wireless Communications and Networking

The error model is the uniform distribution.

EURASIP Journal on Wireless Communications and Networking

ω follows uniform distribution in [0,Nsense].

EURASIP Journal on Wireless Communications and Networking

Expert writing Tips

Best practice

When describing a "uniform distribution", specify the interval over which the distribution is defined. For example, "a uniform distribution between 0 and 1".

Common error

Avoid assuming that a distribution is "uniform" without evidence. Always verify that all outcomes are indeed equally likely before applying methods or making inferences based on this assumption.

Linguistic Context

The phrase "uniform distribution" functions as a noun phrase, typically serving as the subject or object of a sentence when discussing statistical or probabilistic concepts. Ludwig confirms its correct usage.

Expression frequency: Very common

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Ludwig's WRAP-UP

The phrase "uniform distribution" is a well-established term in statistics and probability, denoting a distribution where all outcomes are equally likely. As Ludwig AI confirms, its use is grammatically sound and predominantly found in scientific and academic contexts. When using the phrase, remember to specify the interval to provide context. Be cautious about assuming uniformity without solid evidence. Explore related terms like "rectangular distribution" for similar meanings. In summary, "uniform distribution" is a powerful concept for describing equal likelihood, essential for mathematical modeling and statistical analysis.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

rectangular distribution

Replaces "uniform" with its synonymous "rectangular", emphasizing the shape of the distribution's probability density function.

equal probability distribution

Highlights the core characteristic of the distribution: each outcome has an equal chance of occurring.

flat distribution

Uses "flat" as a descriptive term for a distribution where all values have the same probability.

equiprobable distribution

Emphasizes the equal probability of all outcomes within the distribution.

distribution with constant probability density

Describes the distribution in terms of its probability density function, which remains constant across the range.

homogeneous distribution

Uses "homogeneous" to describe the even spread of probabilities across all values.

distribution with equally likely outcomes

Explicitly states that all outcomes are equally likely, which is a key feature of the "uniform distribution".

random distribution

Focuses on the randomness inherent in the distribution process, where each value is chosen randomly with equal probability.

distribution of equal likelihood

Highlights the equal likelihood of each possible value in the distribution.

distribution without bias

Emphasizes the lack of preference for any particular value within the distribution.

FAQs

How to use "uniform distribution" in a sentence?

You can use "uniform distribution" to describe a scenario where all outcomes are equally likely. For example, "The random number generator produces a "uniform distribution" of values between 0 and 1".

What does "uniform distribution" mean in statistics?

In statistics, "uniform distribution" refers to a probability distribution where every possible value between specified limits has an equal probability of occurring.

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

Examples include the distribution of numbers generated by a fair random number generator or, hypothetically, the distribution of birthdays throughout the year if all days were equally likely.

How does a "uniform distribution" differ from a normal distribution?

A "uniform distribution" has equal probabilities for all values within a range, while a normal distribution has a bell-shaped curve with values clustered around the mean.