marginal distribution

USAGE SUMMARY

The phrase "marginal distribution" is correct and usable in written English.
It is typically used in statistics to refer to the probability distribution of a subset of variables within a larger set, often in the context of joint distributions. Example: "To understand the relationship between the two variables, we first need to analyze their marginal distribution."

✓ Grammatically correct

Science

Academia

News & Media

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

After divisive normalization transform, we find that the marginal distribution of the coefficients is approximately Gaussian distributed.

Neurocomputing

The marginal distribution of the data is the same as real data.

University of California, Berkeley

The tests evaluate stationarity in second moment properties and marginal distribution.

Renewable Energy

This method requires a priori information such as variables' marginal distribution functions and their correlation matrix.

Journal of Sound and Vibration

This model can capture the dependency, heteroscedasticity and heavy-tailed marginal distribution of these coefficients.

Information Sciences

Examination of the persistence of marginal distribution reveals that, although true stationarity in marginal distribution persists for a few days at most, there exist two 'seasons', winter and summer, during which the marginal distribution remains relatively consistent, with rapid changes in marginal distribution occurring near the beginning and ends of these seasons.

Renewable Energy

The copula approach can be used to model dependence structure independently of different marginal distribution.

Construction and Building Materials

I asked Tol about this point, and he responded, "I indeed use the marginal distribution of error corrections rather than the conditional ones.

The Guardian

For each missing value of flood loss for a given event, 10,000 samples of marginal distribution of that variable obtained during the copula analysis.

Nature

Also the influences of heavy-tailed marginal distribution on the uncertainty evaluation of joint distribution have been investigated.

Global and Planetary Change

By marginal distribution we mean the distribution of the collection of frames assigned to each HMM state, i.e. we are marginalizing with respect to time.

University of California, Berkeley

Expert writing Tips

Best practice

When discussing relationships between variables, clearly define the joint distribution before introducing the "marginal distribution" to provide context.

Common error

Avoid interchanging "marginal distribution" with conditional distribution. Marginal distribution focuses on one variable, while a conditional distribution examines one variable given another.

Linguistic Context

The phrase "marginal distribution" functions as a noun phrase that describes a specific type of probability distribution. As Ludwig AI explains, it refers to the projection of a joint probability distribution onto one of its component random variables. This makes it a key concept in statistical analysis.

Expression frequency: Very common

Frequent in

Science

75%

Academia

15%

News & Media

5%

Less common in

Formal & Business

3%

Encyclopedias

1%

Wiki

1%

Ludwig's WRAP-UP

The phrase "marginal distribution" is a well-established term in statistics, referring to the probability distribution of a single variable derived from a joint distribution. As Ludwig AI confirms, it is grammatically correct and commonly used, particularly in scientific and academic contexts. The most frequent contexts are science and academia, showing its prominence in research and technical discussions. To ensure clarity, it's essential to differentiate it from similar concepts like conditional distributions. The phrase is valuable for analyzing individual variables within a multivariate system.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

marginal probability

This term highlights the probability aspect of the marginal distribution, focusing on the probability of a single variable.

distribution of a single variable

This phrase explicitly states what a marginal distribution represents.

distribution for one variable

This is a straightforward way of saying that the distribution is specific to one variable.

probability distribution

This is a broader term that encompasses "marginal distribution" but doesn't specify the marginalization aspect.

individual distribution

This emphasizes that the distribution pertains to a single, individual variable.

univariate distribution

This term emphasizes that the distribution is for a single variable, similar to the focus of a marginal distribution.

probability density function

This refers to the function that describes the probability distribution, and can be used in the context of a marginal distribution.

projected distribution

This highlights the aspect of projecting a joint distribution onto a single variable.

reduced distribution

This term indicates that the original joint distribution has been reduced to focus on a subset of variables.

induced distribution

This term describes the distribution that arises from considering only one variable from a larger set.

FAQs

How do I use "marginal distribution" in a sentence?

You can use "marginal distribution" to describe the probability distribution of a single variable taken from a larger set of variables. For example, "To understand the individual behavior of variable X, we need to examine its marginal distribution".

What's the difference between "marginal distribution" and a regular probability distribution?

A "marginal distribution" is specifically derived from a joint distribution by considering only one variable, whereas a regular probability distribution can refer to any distribution, including the joint distribution itself.

What can I say instead of "marginal distribution"?

Depending on the context, you can use alternatives like "probability distribution", "univariate distribution", or "distribution of a single variable".

When is it appropriate to use the term "marginal distribution"?

Use "marginal distribution" when you are explicitly referring to the distribution of a single variable that is part of a larger set of variables with a joint distribution. This is common in statistical modeling and Bayesian inference.