Get to know Covariance better with 10+ real example sentences, the meaning and synonyms like variance.
Covariance meaning
- A statistical measure defined as scriptstyle operatorname Cov(X,Y)= operatorname E((X-μ)(Y-ν)) given two real-valued random variables X and Y, with expected values scriptstyle E(X),=,μ and scriptstyle E(Y),=,ν.
- The conversion of data types from wider to narrower in certain situations.
Synonyms of Covariance
Using Covariance
- The main meaning on this page is: A statistical measure defined as scriptstyle operatorname Cov(X,Y)= operatorname E((X-μ)(Y-ν)) given two real-valued random variables X and Y, with expected values scriptstyle E(X),=,μ and scriptstyle E(Y),=,ν. | The conversion of data types from wider to narrower in certain situations.
- Useful related words include: variance.
- In the example corpus, covariance often appears in combinations such as: covariance matrix, the covariance, eddy covariance.
Context around Covariance
- Average sentence length in these examples: 25.4 words
- Position in the sentence: 1 start, 10 middle, 1 end
- Sentence types: 12 statements, 0 questions, 0 exclamations
Corpus analysis for Covariance
- In this selection, "covariance" usually appears in the middle of the sentence. The average example has 25.4 words, and this corpus slice is mostly made up of statements.
- Around the word, eddy, negative, contemporary, matrix, method and statistic stand out and add context to how "covariance" is used.
- Recognizable usage signals include as the covariance matrix may and between the covariance statistic in. That gives this page its own corpus information beyond isolated example sentences.
- By corpus frequency, "covariance" sits close to words such as aadi, aakash and aayush, which helps place it inside the broader word index.
Example types with covariance
The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:
Conversely, every positive semi-definite matrix is the covariance matrix of some multivariate distribution. (14 words)
The covariance matrix is related to the moment of inertia tensor for multivariate distributions. (14 words)
De-randomization of self-adaptation has led to the contemporary Covariance Matrix Adaptation Evolution Strategy ( CMA-ES ). (17 words)
When Σ is positive-definite, the Cholesky decomposition is typically used, and the extended form of this decomposition can always be used (as the covariance matrix may be only positive semi-definite) in both cases a suitable matrix A is obtained. (41 words)
The moment of inertia of a cloud of n points with a covariance matrix of is given by : This difference between moment of inertia in physics and in statistics is clear for points that are gathered along a line. (39 words)
The hidden Markov model will tend to have in each state a statistical distribution that is a mixture of diagonal covariance Gaussians, which will give a likelihood for each observed vector. (31 words)
Example sentences (12)
This work lays the foundation for further developing eddy covariance method-based studies of the soil-plant-atmosphere NO interface fluxes in ecosystems.
In fact, it is not always critical to have negative covariance; it is sufficient to have less positive correlation.
There is an interesting connection between the covariance statistic in and the degrees of freedom of a fitting procedure.
A necessary (but, in general, not sufficient ) condition for statistical independence of two variables is that they be statistically uncorrelated ; that is, their covariance is zero.
Conversely, every positive semi-definite matrix is the covariance matrix of some multivariate distribution.
De-randomization of self-adaptation has led to the contemporary Covariance Matrix Adaptation Evolution Strategy ( CMA-ES ).
The covariance matrix is related to the moment of inertia tensor for multivariate distributions.
The hidden Markov model will tend to have in each state a statistical distribution that is a mixture of diagonal covariance Gaussians, which will give a likelihood for each observed vector.
The moment of inertia of a cloud of n points with a covariance matrix of is given by : This difference between moment of inertia in physics and in statistics is clear for points that are gathered along a line.
This is a biased estimator whose expectation is : An unbiased sample covariance is : The Fisher information matrix for estimating the parameters of a multivariate normal distribution has a closed form expression.
Three-dimensional sonic anemometers are widely used to measure gas emissions and ecosystem fluxes using the eddy covariance method when used with fast-response infrared gas analyzers or laser -based analyzers.
When Σ is positive-definite, the Cholesky decomposition is typically used, and the extended form of this decomposition can always be used (as the covariance matrix may be only positive semi-definite) in both cases a suitable matrix A is obtained.
Common combinations with covariance
These word pairs occur most frequently in English texts:
- covariance matrix 5×
- the covariance 4×
- eddy covariance 2×
- covariance is 2×