negatively dependent

USAGE SUMMARY

The phrase "negatively dependent" is correct and usable in written English.
It can be used in contexts such as statistics, economics, or psychology to describe a relationship where one variable decreases as another increases. Example: "In this study, we found that the two variables are negatively dependent, indicating that as one increases, the other tends to decrease."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

They are named extended negatively dependent if they are both upper extended negatively dependent and lower extended negatively dependent.  .

Journal of Inequalities and Applications

They are named extended negatively dependent if they are both upper extended negatively dependent and lower extended negatively dependent.

Journal of Inequalities and Applications

case to extended negatively dependent sequences.

Journal of Inequalities and Applications

An infinite family of random variables is negatively dependent if every finite subfamily is negatively dependent.

Journal of Inequalities and Applications

case to extended negatively dependent (END) random variables.

Journal of Inequalities and Applications

Using the moment inequality of negatively dependent random variables, Wu [6] obtained a complete convergence result for weighted sums of identically distributed negatively dependent random variables.

Journal of Inequalities and Applications

The random variables are said to be negatively dependent (ND) if for all real, (1.3).

Journal of Inequalities and Applications

For the case of negatively dependent mean zero, the proof is not correct.

Journal of Inequalities and Applications

Accordingly, the following definition is needed to define sequences of extended negatively dependent random variables.

Journal of Inequalities and Applications

However, acceptable random variables do not have to be negatively dependent.

Journal of Inequalities and Applications

Some probability inequalities for extended negatively dependent (END) sequence are provided.

Journal of Inequalities and Applications

Expert writing Tips

Best practice

When discussing statistical or probabilistic relationships, use "negatively dependent" to clearly indicate that the increase of one variable is associated with the decrease of another. Ensure the context supports this inverse relationship.

Common error

Avoid assuming that because two variables are "negatively dependent", one directly causes the other to decrease. Correlation does not equal causation; other factors may be involved.

Linguistic Context

The phrase "negatively dependent" primarily functions as an adjective phrase, modifying nouns to describe a specific relationship between variables. As confirmed by Ludwig AI, this relationship indicates that the increase of one variable is associated with the decrease of another. The examples illustrate this function in various scientific and statistical contexts.

Expression frequency: Very common

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Academia

0%

Ludwig's WRAP-UP

The phrase "negatively dependent" is a common and grammatically correct term, predominantly used in scientific and academic contexts to describe an inverse relationship between variables. Ludwig AI confirms its usability in written English, particularly in fields like statistics and probability. While alternatives such as "inversely proportional" or "negatively correlated" exist, they may carry slightly different connotations. When using "negatively dependent", it is crucial to avoid assuming causation from correlation. Its formal register makes it appropriate for technical writing and research publications.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

inversely proportional

Emphasizes a mathematical relationship where one variable increases as the other decreases proportionally.

inversely related

Highlights an inverse relationship, but may not imply a strict proportional relationship.

negatively correlated

Focuses on the statistical measure of correlation, indicating that as one variable increases, the other tends to decrease.

anti-correlated

Similar to negatively correlated, but often used when the variables are expected to fluctuate around a mean.

oppositely associated

Suggests a relationship where the variables move in opposite directions.

decreasingly dependent

Indicates that the dependency decreases as one variable increases.

negatively influenced

Suggests that an increase in one variable leads to a decrease in the other due to influence.

in negative relation

A more general term for indicating a negative relationship between variables.

dependent with an inverse effect

Highlights that the dependence manifests as an inverse change.

exhibiting negative covariance

Describes a statistical relationship where the variables tend to vary in opposite directions.

FAQs

How is "negatively dependent" used in statistical analysis?

In statistical analysis, "negatively dependent" describes variables where an increase in one is associated with a decrease in the other. This relationship is quantified by measures like negative correlation or inverse proportionality.

What's the difference between "negatively dependent" and "negatively correlated"?

"Negatively dependent" is a broader term indicating an inverse relationship, while "negatively correlated" specifically refers to a statistical measure quantifying the strength and direction of a linear relationship between two variables.

Can I use another term to replace "negatively dependent"?

Yes, you can use alternatives like "inversely proportional" or "inversely related" depending on the specific context and the nature of the relationship you are describing.

In what fields is the term "negatively dependent" commonly used?

The term "negatively dependent" is commonly used in fields such as statistics, probability theory, economics, and physics, where understanding relationships between variables is crucial.