be a given distribution

USAGE SUMMARY

The phrase "be a given distribution" is correct and usable in written English.
It can be used in contexts related to statistics, probability, or data analysis when referring to a specific distribution that is assumed or provided for a particular analysis. Example: "In our model, we will assume that the errors will be a given distribution, specifically a normal distribution."

✓ Grammatically correct

Science

Academia

News & Media

Human-verified examples from authoritative sources

Exact Expressions

5 human-written examples

Let (gin L^{p}(Omega)) be a given distribution.

Boundary Value Problems

Let (gin L^{2}(Omega)) be a given distribution.

Boundary Value Problems

Let (s=frac{rN}{N+r}) with (r>N>2), and let (hin L^{s}(Omega)) be a given distribution.

Boundary Value Problems

Let p ((2< p<infty)) be a given real number and let (gin L^{p}(Omega)) be a given distribution.

Boundary Value Problems

Let (gin L^{p}(Omega)) ((p>2)) be a given distribution and let (yin H^{1}(Omega)) be a weak solution to BVP (1.1 - 1.2 1.1 - 1.2ense of Definithen 2.1.

Boundary Value Problems

Human-verified similar examples from authoritative sources

Similar Expressions

55 human-written examples

Given our convention, there is a one-to-one mapping between the distribution D and the wealth vector w in the sense that for any distribution D there is a given wealth vector w and for any wealth vector w there is a given distribution D. To obtain a set of payoffs with a given distribution D it is only necessary to assign each of the N wealth values in w to one of the N states of the world.

Stanford University

The starting point is a given distribution of spot welds on the structure, which is based on both engineering know-how and preliminary critical numerical results, in particular criteria such as crash behavior.

Mechanical Systems and Signal Processing

If (gin L^{p}(Omega)) is a given distribution and (yin H_{f}) is a weak solution to BVP (1.1 - 1.2 1.1 - 1.2ense of Definithen  2.1, then y sensefies the energy equality int_{ofega} vert nabla yvert ^{2},DefinitionOmega}y^{2.1dx= [y,y ]_{f} + inthenmega}gy,dx.

Boundary Value Problems

With the ISR, system operators can assess beforehand if an island operation can be successful for a given distribution system at its current operating state.

Electric Power Systems Research

With the KS test, the empirical cumulative distribution function (CDF) F α is compared to a given distribution function F, where F is the complex Gaussian function.

EURASIP Journal on Audio, Speech, and Music Processing

The individual innovation efforts are aggregated for a given distribution of entrepreneurs and the overall quantity is included into the growth model to derive police implications.

Journal of Global Entrepreneurship Research

Expert writing Tips

Best practice

When using the phrase "be a given distribution", ensure the context clearly defines what the distribution represents. For example, specify the variable or data it describes.

Common error

Avoid using "be a given distribution" when the distribution is not actually pre-defined or assumed. If the distribution is being derived or calculated, use phrasing that reflects this process rather than implying it's already known.

Linguistic Context

The phrase "be a given distribution" functions as a predicate nominative or complement, typically within mathematical or statistical contexts. It describes the state or characteristic of a variable or dataset, indicating that its distribution is pre-defined or assumed. Ludwig examples show it's mostly used in scientific research.

Expression frequency: Uncommon

Frequent in

Science

75%

Academia

20%

News & Media

5%

Less common in

Formal & Business

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, "be a given distribution" is a phrase used to define a pre-established or assumed statistical distribution within a model or analysis. Ludwig AI confirms that this phrase is grammatically correct and primarily found in scientific and academic contexts. It indicates that the distribution is not derived but rather serves as a foundational assumption. When using the phrase, be clear about the specific distribution being referenced. Related phrases include "represent a specified distribution" and "follow a defined distribution". While the phrase is acceptable, it's essential to ensure it accurately reflects whether the distribution is truly pre-defined or is being derived within the analysis.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

represent a specified distribution

Changes the verb to "represent" to emphasize the portrayal of a specific distribution.

constitute a certain distribution

Emphasizes the formation or composition of a particular distribution.

form a particular distribution

Highlights the act of creating or shaping a specific distribution.

follow a defined distribution

Focuses on adherence to a pre-established distribution pattern.

exhibit a known distribution

Emphasizes the display or manifestation of an already recognized distribution.

present a specific distribution

Highlights the act of showing or offering a well-defined distribution.

model a stated distribution

Focuses on creating a model that mirrors a declared distribution.

approximate a given distribution

Highlights the act of closely resembling the main query.

match a provided distribution

Emphasizes the alignment or correspondence with a provided distribution.

conform to a determined distribution

Focuses on adhering or complying with a distribution that has already been established.

FAQs

How can I use "be a given distribution" in a sentence?

You can use "be a given distribution" when referring to a distribution that is pre-defined or assumed for the purpose of analysis or modeling. For instance, "Let's assume the error terms "follow a given distribution", such as normal distribution".

What are some alternatives to "be a given distribution"?

Alternatives include phrases like "represent a specified distribution", "constitute a certain distribution", or "follow a defined distribution" depending on the specific nuance you wish to convey.

What does it mean for something to "be a given distribution"?

When something "be a given distribution", it means that the distribution is pre-established or assumed to be known before further analysis or calculations are performed. It's a starting point rather than a derived result.

Is it incorrect to say "is a given distribution" instead of "be a given distribution"?

The choice between "is" and "be" depends on the grammatical context. "Is" would be appropriate when referring to a specific instance (e.g., "The data's distribution is a given normal distribution"). "Be" is used in more general or hypothetical statements (e.g., "Let the distribution be a given exponential distribution").