probability distribution

USAGE SUMMARY

The phrase "probability distribution" is correct and usable in written English.
It is commonly used in the fields of statistics and mathematics, as well as in other disciplines that deal with the concept of probability. Example: The probability distribution of the outcomes of a coin toss is a 50/50 split between heads and tails.

✓ Grammatically correct

Science

Academia

News & Media

Encyclopedias

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

Woodbury, M. A. On a probability distribution.

Nature

Probability distribution estimation from sparse data.

Cornell University

And what is the probability distribution?

Yale University

The probability distribution is very similar.

Massachusetts Institute of Technology

A probability distribution over latent causes, in the orbitofrontal cortex.

Nature

The most widely used continuous probability distribution in statistics is the normal probability distribution.

Encyclopedia Britannica

Just sorting, it's an empirical estimate of this probability distribution.

Cornell University

So that's most of the binomial probability distribution.

Cornell University

And you'll get proper probability distribution for those transform variables.

Cornell University

On Extracting Probability Distribution Information from Time Series.

University of California, Berkeley

And continuous is given by probability distribution function.

Massachusetts Institute of Technology

Expert writing Tips

Best practice

When describing the uncertainty associated with an event, use "probability distribution" to provide a complete picture of possible outcomes and their likelihoods.

Common error

Avoid using "probability distribution" when referring to a single, isolated probability. A "probability distribution" encompasses all possible outcomes and their associated probabilities, not just one specific chance.

Linguistic Context

The phrase "probability distribution" functions as a noun phrase, primarily identifying a mathematical function. It is used to describe how probabilities are distributed across different outcomes, as supported by Ludwig's examples.

Expression frequency: Very common

Frequent in

Science

53%

Academia

27%

News & Media

12%

Less common in

Encyclopedias

4%

Formal & Business

4%

Science

0%

Ludwig's WRAP-UP

The term "probability distribution" is a grammatically sound and highly prevalent noun phrase, predominantly used in scientific and academic domains. It serves to describe the distribution of probabilities across various potential outcomes. As Ludwig AI confirms, its application is consistent and widespread, highlighting its importance in statistical analysis and predictive modeling. When using the phrase, remember that it represents a complete picture of uncertainties, not just a single probability. Its formalized meaning makes it an irreplaceable pillar of scientific communication.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

statistical distribution

Explicitly frames it within the context of statistical analysis and interpretation.

chance distribution

Highlights the element of randomness or chance in the distribution.

frequency distribution

Highlights the number of occurrences of each value in a dataset.

likelihood distribution

Emphasizes the plausibility or chance of something occurring, rather than a strict mathematical distribution.

forecast distribution

Focuses on predicting future probabilities, adding a temporal aspect not inherent in the original phrase.

rate distribution

Describes the distribution of rates or frequencies, often used in statistical analysis.

possibility distribution

Broader than probability, including events that are merely possible but not necessarily probable.

hazard distribution

Specifically relates to the distribution of potential risks or dangers.

probability diffusion

Implies the spread or dispersion of probabilities over a space or time.

opportunity distribution

Refers to how chances or possibilities are spread, implying a more positive connotation.

FAQs

How is "probability distribution" used in data science?

In data science, "probability distribution" is used to model the likelihood of different outcomes for a variable. It helps in tasks like prediction, classification, and anomaly detection, enabling a more nuanced understanding of uncertainty. You might find these terms useful in similar contexts: "likelihood distribution" or "frequency distribution".

What are common types of probability distributions?

Common types include normal (Gaussian), binomial, Poisson, and exponential distributions. Each is suited to different types of data and phenomena. The choice of distribution depends on the characteristics of the variable being modeled.

How can I visualize a probability distribution?

Probability distributions are often visualized using histograms, probability density functions (PDFs), or cumulative distribution functions (CDFs). These graphical representations help to understand the shape, spread, and central tendency of the distribution.

What's the difference between "probability distribution" and "probability"?

"Probability" refers to the likelihood of a single event occurring. A "probability distribution" describes the likelihood of all possible outcomes for a variable. It provides a complete picture of the uncertainty, while probability focuses on a specific event. Consider using "chance distribution" or "statistical distribution" for similar meanings.